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Extensions for a Python package for estimation of count models.

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MetaCountRegressor

Tutorial also available as a jupyter notebook

Download Example Notebook

Quick Setup

The Below code demonstrates how to set up automatic optimization assisted by the harmony search algorithm. References to the Differential Evolution and Simulated Annealing has been mentioned (change accordingly)

Quick install: Requires Python 3.10

Install metacountregressor using pip as follows:

pip install metacountregressor


```python
import pandas as pd
import numpy as np
from metacountregressor.solution import ObjectiveFunction
from metacountregressor.metaheuristics import (harmony_search,
                                            differential_evolution,
                                            simulated_annealing)
print('testing')
loaded standard packages
loaded helper
testing

Basic setup.

The initial setup involves reading in the data and selecting an optimization algorithm. As the runtime progresses, new solutions will be continually evaluated. Finally, at the end of the runtime, the best solution will be identified and printed out. In the case of multiple objectives all of the best solutions will be printed out that belong to the Pareto frontier.

# Read data from CSV file
df = pd.read_csv(
"https://raw.githubusercontent.com/zahern/data/main/Ex-16-3.csv")
X = df
y = df['FREQ']  # Frequency of crashes
X['Offset'] = np.log(df['AADT']) # Explicitley define how to offset the data, no offset otherwise
# Drop Y, selected offset term and  ID as there are no panels
X = df.drop(columns=['FREQ', 'ID', 'AADT'])  

#some example argument, these are defualt so the following line is just for claritity. See the later agruments section for detials.
arguments = {'algorithm': 'hs', 'test_percentage': 0.15, 'test_complexity': 6, 'instance_number':1,
             'val_percentage':0.15, 'obj_1': 'bic', '_obj_2': 'RMSE_TEST', "_max_time": 6}
# Fit the model with metacountregressor
obj_fun = ObjectiveFunction(X, y, **arguments)
#replace with other metaheuristics if desired
results = harmony_search(obj_fun)
Setup Complete...
--------------------------------------------------------------------------------
Log-Likelihood:  -652.9169159551539
--------------------------------------------------------------------------------
bic: 1466.56
--------------------------------------------------------------------------------
RMSE_TEST: 17.58
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.20 |   0.54   |  -0.38   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.16  |   0.11   |  10.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.22 |   0.16   |  -1.35   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.05 |   0.08   |  -0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.03   |   2.38   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | 0.08  |   0.21   |   0.37   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.06 |   0.17   |  -0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.19  |   0.17   |   1.12   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   3.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -2.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.06   |   2.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.02 |   0.11   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.20 |   0.13   |  -1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.08 |   0.04   |  -1.90   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.05  |   0.27   |   0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.00  |   0.04   |   0.12   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.93 |   0.61   |  -1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | -0.06 |   0.07   |  -0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.82 |   0.74   |  -1.12   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.07 |   0.04   |  -1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.07 |   0.00   |  -15.87  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 1.55  |   0.01   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) uniform  |         | 0.03  |   0.00   |  20.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.06  |   0.00   |  26.14   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.03  |   0.00   |  17.24   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.06  |   0.01   |   7.76   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.11  |   0.00   |  42.00   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.04  |   0.01   |   4.51   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.26  |   0.01   |  29.57   | 0.00***    |
| Dev. uniform) . SPEED   |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
--------------------------------------------------------------------------------
Log-Likelihood:  -666.9846848115257
--------------------------------------------------------------------------------
bic: 1504.21
--------------------------------------------------------------------------------
RMSE_TEST: 17.15
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.36 |   2.44   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.63 |   0.38   |  -1.66   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.04   |  -1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.04 |   0.05   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.03   |   1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.40  |   0.08   |   5.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.70  |   0.16   |   4.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.30 |   0.10   |  -3.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.59  |   0.14   |   4.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.10  |   0.01   |   9.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.80 |   0.15   |  -5.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.01  |   0.03   |   0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.14 |   0.07   |  -1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.89 |   0.59   |  -1.50   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.16  |   0.09   |   1.84   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.49 |   0.82   |  -0.59   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.25 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | -0.84 |   0.01   |  -50.00  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.02 |   0.00   |  -5.18   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.01  |   0.00   |  40.61   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.07  |   0.00   |  42.20   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.01  |   0.00   |   2.17   | 0.03*      |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.14  |   0.01   |  24.45   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.52 |   0.06   |  -8.81   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | 0.17  |   0.01   |  12.85   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.00  |   0.00   |   0.31   | 0.75       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.30 |   0.02   |  -16.96  | 0.00***    |
| Dev. normal) . SPEED    |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.80  |   0.06   |  13.77   | 0.00***    |
| Dev. lm_normal) . SPEED |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   | no      | -0.04 |   0.01   |  -7.20   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MXGRDIFF (Std. Dev.     |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   | no      | -0.40 |   0.15   |  -2.73   | 0.01*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE: hetro group 0  |         | 0.07  |   0.01   |   4.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   |         | 0.13  |   0.03   |   4.24   | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
--------------------------------------------------------------------------------
Log-Likelihood:  -656.4142138218281
--------------------------------------------------------------------------------
bic: 1489.33
--------------------------------------------------------------------------------
RMSE_TEST: 14.93
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.27 |   0.37   |  -0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.21  |   0.13   |   9.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.07 |   0.06   |  -1.07   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.04  |   0.02   |   2.35   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.03   |   1.98   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.22  |   0.18   |   1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.05 |   0.03   |  -1.87   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.14 |   0.03   |  -4.53   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.04  |   0.03   |   1.71   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.16 |   0.14   |  -8.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.07 |   0.06   |  -1.22   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.02  |   0.02   |   1.61   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.06 |   0.05   |  -1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.05   |   0.49   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.45 |   0.11   |  -4.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.28  |   0.10   |   2.65   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.07 |   0.11   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.03  |   0.03   |   1.03   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.03  |   0.00   |  38.31   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.01  |   0.00   |  15.59   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.03  |   0.00   |  30.37   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.02  |   0.00   |  10.05   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.01  |   0.00   |  11.72   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.01 |   0.00   |  -1.74   | 0.08.      |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.01  |   0.00   |   3.69   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.07  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.07  |   0.00   |  30.95   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.03  |   0.02   |   2.05   | 0.04*      |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | 0.04  |   0.00   |  24.94   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   | arcsinh | -0.02 |   0.00   |  -6.93   | 0.00***    |
| Dev. uniform) . URB     |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: TANGENT: hetro    | no      | -0.06 |   0.12   |  -0.50   | 0.62       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE: hetro group 0    |         | 0.02  |   0.07   |   0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| main: TANGENT: hetro    |         | -0.04 |   0.04   |  -1.01   | 0.31       |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
failed to converge..
The model did not converge
failed to converge..
The model did not converge
failed to converge..
--------------------------------------------------------------------------------
Log-Likelihood:  -664.7253930487128
--------------------------------------------------------------------------------
bic: 1494.93
--------------------------------------------------------------------------------
RMSE_TEST: 15.92
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.66 |   0.60   |  -1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.08  |   0.22   |   0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.26 |   0.24   |  -1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.29 |   0.09   |  -3.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.01 |   0.13   |  -0.07   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.47 |   0.29   |  -1.66   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.04  |   0.04   |   0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.27 |   0.10   |  -2.71   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.94  |   0.10   |   9.73   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.03   |   2.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | 0.03  |   0.01   |   1.75   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.10  |   0.25   |   0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.05  |   0.03   |   1.76   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.04  |   0.09   |   0.42   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.07 |   0.31   |  -3.46   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.52 |   0.30   |  -1.71   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.05   |  -0.22   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.05  |   0.08   |   0.56   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.01  |   0.00   |   3.55   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.06 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.00 |   0.00   |  -29.94  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.02 |   0.00   |  -4.51   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.01 |   0.00   |  -2.70   | 0.01*      |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.02 |   0.00   |  -7.23   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.09 |   0.00   |  -37.40  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.16  |   0.00   |  50.00   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.11  |   0.01   |  18.80   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.02 |   0.00   |  -4.91   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.03  |   0.00   |   5.81   | 0.00***    |
| Dev. lm_normal) . WIDTH |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.32 |   0.01   |  -50.00  | 0.00***    |
| Dev. tn_normal) . WIDTH |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | 0.00  |   0.00   |   0.96   | 0.34       |
| Dev. tn_normal) .       |         |       |          |          |            |
| MIGRADE (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
--------------------------------------------------------------------------------
Log-Likelihood:  -666.4374208617879
--------------------------------------------------------------------------------
bic: 1500.36
--------------------------------------------------------------------------------
RMSE_TEST: 15.62
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.44 |   0.42   |  -3.41   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 1.01  |   0.12   |   8.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.00  |   0.26   |   0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.84 |   0.31   |  -2.69   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.07  |   0.05   |   1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.01 |   0.02   |  -0.52   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.16 |   0.12   |  -1.30   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.14 |   0.15   |  -0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.02 |   0.02   |  -1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.03  |   0.03   |   1.06   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.13  |   0.08   |   1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.40 |   0.15   |  -2.66   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -2.83   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.06  |   0.06   |   0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.25 |   0.28   |  -0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   2.74   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.02  |   0.02   |   0.91   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.01  |   0.17   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.04   |   0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.04  |   0.03   |   1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.04 |   0.06   |  -0.73   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.21 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.15 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.02 |   0.00   |  -3.71   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.26  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.04 |   0.00   |  -16.65  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -2.32   | 0.02*      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | -0.03 |   0.00   |  -26.83  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.20  |   0.01   |  39.08   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.15 |   0.01   |  -19.10  | 0.00***    |
| Dev. normal) . MXMEDSH  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
The number of imps is 1 the max imps is 100000  elapsed time is 1875.47356 max time 6 no improvement 0 max_improvement 100

Arguments to feed into the Objective Function:

Note: Please Consider the main arguments to change.

  • algorithm: This parameter has multiple choices for the algorithm, such as 'hs', 'sa', and 'de'. Only one choice should be defined as a string value.
  • test_percentage: This parameter represents the percentage of data used for in-sample prediction of the model. The value 0.15 corresponds to 15% of the data.
  • val_percentage: This parameter represents the percentage of data used to validate the model. The value 0.15 corresponds to 15% of the data.
  • test_complexity: This parameter defines the complexity level for testing. The value 6 tests all complexities. Alternatively, you can provide a list of numbers to consider different complexities. The complexities are further explained later in this document.
  • instance_number: This parameter is used to give a name to the outputs.
  • _obj_1: This parameter has multiple choices for obj_1, such as 'bic', 'aic', and 'hqic'. Only one choice should be defined as a string value.
  • _obj_2: This parameter has multiple choices for objective 2, such as 'RMSE_TEST', 'MSE_TEST', and 'MAE_TEST'.
  • _max_time: This parameter specifies the maximum number of seconds for the total estimation before stopping.
  • distribution: This parameter is a list of distributions to consider. Please select all of the available options and put them into a list of valid options if you want to to consider the distribution type for use when modellign with random parameters. The valid options include: 'Normal', 'LnNormal', 'Triangular', and 'Uniform'.
  • transformations: This parameters is a list of transformations to consider. Plesee select all of the available options and put them into a list of valid options if you want to consider the transformation type. The valid options include 'Normal', 'LnNormal', 'Triangular', 'Uniform'.
  • method_ll: This is a specificication on the type of solvers are avilable to solve the lower level maximum likilihood objective. The valid options include: 'Normal', 'LnNormal', 'Triangular', and 'Uniform'.

Example of changing the arguments:

Modify the arguments according to your preferences using the commented code as a guide.

#Solution Arguments
arguments = {
        'algorithm': 'hs', #alternatively input 'de', or 'sa'
        'is_multi': 1,
        'test_percentage': 0.2, # used in multi-objective optimisation only. Saves 20% of data for testing.
        'val_percenetage:': 0.2, # Saves 20% of data for testing.
        'test_complexity': 6, # Complexity level for testing (6 tests all) or a list to consider potential differences in complexity
        'instance_number': 'name', # used for creeating a named folder where your models are saved into from the directory
        'distribution': ['Normal', 'LnNormal', 'Triangular', 'Uniform'],
        'Model': [0,1],  # or equivalently ['POS', 'NB']
        'transformations': ['no', 'sqrt', 'archsinh'],
        'method_ll': 'BFGS_2',
        '_max_time': 10
    }
obj_fun = ObjectiveFunction(X, y, **arguments)
results = harmony_search(obj_fun)

Initial Solution Configurement

Listed below is an example of how to specify an initial solution within the framework. This initial solution will be used to calculate the fitness and considered in the objective-based search. However, as the search progresses, different hypotheses may be proposed, and alternative modeling components may completely replace the initial solution.

 #Model Decisions, Specify for Intial Optimization
manual_fit_spec = {
    'fixed_terms': ['SINGLE', 'LENGTH'],
    'rdm_terms': ['AADT:normal'],
    'rdm_cor_terms': ['GRADEBR:normal', 'CURVES:normal'],
    'grouped_terms': [],
    'hetro_in_means': ['ACCESS:normal', 'MINRAD:normal'],
    'transformations': ['no', 'no', 'log', 'no', 'no', 'no', 'no'],
    'dispersion': 0
}
#Search Arguments
arguments = {
    'algorithm': 'hs',
    'test_percentage': 0.2,
    'test_complexity': 6,
    'instance_number': 'name',
    'Manual_Fit': manual_fit_spec
}
obj_fun = ObjectiveFunction(X, y, **arguments)
Setup Complete...
Benchmaking test with Seed 42
--------------------------------------------------------------------------------
Log-Likelihood:  -1339.1862434675106
--------------------------------------------------------------------------------
bic: 2732.31
--------------------------------------------------------------------------------
MSE: 650856.32
+--------------------------+--------+-------+----------+----------+------------+
|          Effect          | $\tau$ | Coeff | Std. Err | z-values | Prob |z|>Z |
+==========================+========+=======+==========+==========+============+
| LENGTH                   | no     | -0.15 |   0.01   |  -12.98  | 0.00***    |
+--------------------------+--------+-------+----------+----------+------------+
| SINGLE                   | no     | -2.46 |   0.04   |  -50.00  | 0.00***    |
+--------------------------+--------+-------+----------+----------+------------+
| GRADEBR                  | log    | 4.23  |   0.10   |  42.17   | 0.00***    |
+--------------------------+--------+-------+----------+----------+------------+
| CURVES                   | no     | 0.51  |   0.01   |  34.78   | 0.00***    |
+--------------------------+--------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.     |        | 2.21  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )           |        |       |          |          |            |
+--------------------------+--------+-------+----------+----------+------------+
|  Chol: CURVES (Std. Dev. |        | -0.51 |   0.00   |  -50.00  | 0.00***    |
| normal) )                |        |       |          |          |            |
+--------------------------+--------+-------+----------+----------+------------+
|  Chol: CURVES (Std. Dev. | no     | 0.55  |   0.00   |  50.00   | 0.00***    |
| normal) . GRADEBR (Std.  |        |       |          |          |            |
| Dev.   normal )          |        |       |          |          |            |
+--------------------------+--------+-------+----------+----------+------------+
| main: MINRAD: hetro      | no     | -0.00 |   0.00   |  -44.36  | 0.00***    |
| group 0                  |        |       |          |          |            |
+--------------------------+--------+-------+----------+----------+------------+
| ACCESS: hetro group 0    |        | 0.68  |   0.09   |   7.68   | 0.00***    |
+--------------------------+--------+-------+----------+----------+------------+
| main: MINRAD: hetro      |        | -0.00 |   0.00   |  -44.86  | 0.00***    |
| group 0:normal:sd  hetro |        |       |          |          |            |
| group 0                  |        |       |          |          |            |
+--------------------------+--------+-------+----------+----------+------------+

Simarly to return the results feed the objective function into a metaheuristic solution algorithm. An example of this is provided below:

results = harmony_search(obj_fun)
print(results)
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -756.1824091881238
--------------------------------------------------------------------------------
bic: 1666.89
--------------------------------------------------------------------------------
MSE: 3966.57
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.69 |   0.25   |  -2.75   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.15  |   0.20   |   0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -1.05 |   0.11   |  -9.71   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.07  |   0.12   |   0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.07  |   0.01   |   6.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.04  |   0.04   |   0.95   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.06  |   0.02   |   2.53   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.07 |   0.07   |  -0.99   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.01   |   0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.16 |   0.15   |  -1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | 0.03  |   0.09   |   0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.36  |   0.06   |   6.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.12  |   0.04   |   3.22   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -4.61   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.34  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.15  |   0.00   |  40.31   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.15  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.16  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    | log     | -0.01 |   0.00   |  -50.00  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| MEDWIDTH (Std. Dev.     |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SPEED: hetro      | arcsinh | -0.77 |   0.19   |  -4.14   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF: hetro group 0 | arcsinh | 0.31  |   0.07   |   4.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES: hetro group 0   | no      | 0.18  |   0.08   |   2.18   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE: hetro group 0    | no      | 0.05  |   0.05   |   0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXGRADE: hetro    | no      | 0.05  |   0.02   |   2.98   | 0.00***    |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS: hetro group 1   |         | -0.15 |   0.13   |  -1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| main: SPEED: hetro      |         | -0.20 |   0.03   |  -5.68   | 0.00***    |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXGRADE: hetro    |         | -0.07 |   0.02   |  -3.62   | 0.00***    |
| group 1:normal:sd       |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -760.4900463626929
--------------------------------------------------------------------------------
bic: 1701.97
--------------------------------------------------------------------------------
MSE: 416.62
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.50 |   0.69   |  -0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.14  |   0.02   |   7.54   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.09 |   0.04   |  -2.43   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.44  |   0.15   |   2.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.08 |   0.15   |  -7.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.09 |   0.10   |  -0.89   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.07 |   0.04   |  -1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.28  |   0.09   |   3.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.03  |   0.03   |   1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.47 |   0.08   |  -5.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.05   |   2.10   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.34  |   0.05   |   6.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.28 |   0.17   |  -1.66   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.00 |   0.00   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.09  |   0.16   |   0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.30   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.14 |   0.19   |  -0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.04  |   0.04   |   0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.02   |   2.09   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.28 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.03 |   0.00   |  -21.18  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.08 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.45  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.06  |   0.00   |  12.89   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.07  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.10  |   0.01   |  15.01   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.09 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     | no      | 0.02  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . MIGRADE |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: FC: hetro group 0 | sqrt    | 0.02  |   0.04   |   0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE: hetro group 0   | no      | -0.04 |   0.17   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN: hetro group 0    |         | 0.15  |   0.11   |   1.30   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| main: FC: hetro group   |         | 0.06  |   0.02   |   3.47   | 0.00***    |
| 0:normal:sd  hetro      |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -767.288056132821
--------------------------------------------------------------------------------
bic: 1688.60
--------------------------------------------------------------------------------
MSE: 279.08
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.25 |   0.75   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.64  |   0.15   |   4.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.18 |   0.11   |  -1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.09  |   0.04   |   2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.19  |   0.08   |   2.46   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.37 |   0.22   |  -1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.59 |   0.39   |  -1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.08  |   0.11   |   0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.47 |   0.12   |  -4.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.04   |  -0.21   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.49  |   0.07   |   7.25   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.44  |   0.06   |   7.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.01   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.42  |   0.01   |  34.89   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.18 |   0.01   |  -20.89  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.02 |   0.00   |  -9.22   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.11  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.07 |   0.00   |  -14.34  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.01 |   0.00   |  -6.47   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.26 |   0.00   |  -50.00  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| MINRAD (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.01 |   0.00   |  -4.35   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| MINRAD (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    | no      | 0.00  |   0.00   |   1.66   | 0.10       |
| Dev. tn_normal) .       |         |       |          |          |            |
| INTECHAG (Std. Dev.     |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    | arcsinh | -0.01 |   0.04   |  -0.33   | 0.74       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED: hetro group 0    | no      | -1.18 |   0.34   |  -3.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 | sqrt    | 0.01  |   0.04   |   0.38   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  |         | -0.01 |   0.00   |  -4.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    |         | -0.01 |   0.00   |  -6.19   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -749.4606022428628
--------------------------------------------------------------------------------
bic: 1658.84
--------------------------------------------------------------------------------
MSE: 340.41
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.81 |   0.08   |  -10.15  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.06  |   0.12   |   0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.23 |   0.13   |  -1.76   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.02 |   0.07   |  -0.26   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.03 |   0.04   |  -0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.15  |   0.08   |   1.93   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.02 |   0.04   |  -0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.21  |   0.06   |   3.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.24  |   0.05   |   4.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.07 |   0.04   |  -1.65   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.18 |   0.08   |  -2.20   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.21 |   0.00   |  -45.02  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.74  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.12 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.13  |   0.00   |  41.04   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     | arcsinh | 0.23  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    | no      | 0.08  |   0.05   |   1.67   | 0.10       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE: hetro group 0  | no      | 0.04  |   0.01   |   3.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   | no      | -0.34 |   0.16   |  -2.10   | 0.04*      |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH: hetro group 1  | no      | 0.06  |   0.03   |   2.46   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC: hetro group 1       | log     | -0.04 |   0.04   |  -0.97   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     | arcsinh | 1.30  |   0.08   |  17.30   | 0.00***    |
| group 2                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES: hetro group 2   | no      | -0.05 |   0.05   |  -0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 2 | sqrt    | 0.03  |   0.03   |   1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 2 | arcsinh | -0.40 |   0.11   |  -3.51   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 2  |         | -0.39 |   0.05   |  -7.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    |         | 0.09  |   0.01   |   7.25   | 0.00***    |
| group 0:tn_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   |         | -0.05 |   0.00   |  -11.20  | 0.00***    |
| group 1:lm_normal:sd    |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     |         | 0.00  |   0.00   |   0.57   | 0.57       |
| group 2:normal:sd       |         |       |          |          |            |
| hetro group 2           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -769.4554417613134
--------------------------------------------------------------------------------
bic: 1714.61
--------------------------------------------------------------------------------
MSE: 236.88
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.16 |   0.36   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.56 |   0.22   |  -2.50   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.20 |   0.18   |  -1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.05 |   0.30   |  -0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.08   |   0.16   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.05  |   0.05   |   1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.08  |   0.04   |   2.23   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.66 |   0.86   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.21 |   0.14   |  -1.54   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.07  |   0.10   |   0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.45  |   0.11   |   3.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.04 |   0.09   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.07   |  -0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.39  |   0.21   |   1.81   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.28   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.43  |   0.10   |   4.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.56 |   0.29   |  -1.95   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.12  |   0.19   |   0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.46 |   0.01   |  -45.68  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.00  |   0.00   |   0.15   | 0.88       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.00  |   0.01   |   0.13   | 0.90       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -0.61   | 0.55       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.00   |  -0.06   | 0.95       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.00 |   0.01   |  -0.13   | 0.90       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.00  |   0.01   |   0.25   | 0.80       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | -0.00 |   0.01   |  -0.43   | 0.67       |
| Dev. tn_normal) .       |         |       |          |          |            |
| ACCESS (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    | no      | 0.10  |   0.05   |   1.99   | 0.05.      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED: hetro group 0    | arcsinh | -0.62 |   0.60   |  -1.03   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 | no      | -0.01 |   0.07   |  -0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    |         | 0.18  |   0.07   |   2.77   | 0.01*      |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.17  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -728.0824763472131
--------------------------------------------------------------------------------
bic: 1664.62
--------------------------------------------------------------------------------
MSE: 11165.82
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.56 |   0.19   |  -2.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.50 |   0.21   |  -2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.00 |   0.01   |  -0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.61 |   0.16   |  -3.77   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.08  |   0.07   |   1.14   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.04   |  -0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   2.80   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.09  |   0.15   |   0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -4.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.21  |   0.06   |   3.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.23  |   0.09   |   2.69   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.77  |   0.09   |   8.70   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.06  |   0.10   |   0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.08 |   0.17   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.07  |   0.07   |   1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.07 |   0.14   |  -7.37   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.11  |   0.03   |   4.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.11  |   0.13   |   0.87   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.00  |   0.04   |   0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.13 |   0.00   |  -44.40  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.33  |   0.01   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.06 |   0.00   |  -32.73  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.01  |   0.01   |   1.99   | 0.05.      |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.02 |   0.00   |  -16.66  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.01 |   0.00   |  -11.07  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | 0.20  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | 0.34  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.01  |   0.00   |   6.82   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.38 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MXMEDSH (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.04  |   0.00   |  14.55   | 0.00***    |
| Dev. uniform) . MXMEDSH |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   | no      | -0.21 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) . DOUBLE  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   | arcsinh | -0.38 |   0.18   |  -2.08   | 0.04*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT: hetro group 0  | no      | -0.00 |   0.07   |  -0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| main: FC: hetro group 1 | no      | -0.06 |   0.04   |  -1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES: hetro group 1   |         | 0.02  |   0.02   |   1.27   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   |         | 0.12  |   0.02   |   5.17   | 0.00***    |
| group 0:tn_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: FC: hetro group   |         | -0.04 |   0.02   |  -2.22   | 0.03*      |
| 1:uniform:sd  hetro     |         |       |          |          |            |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -742.4950565055742
--------------------------------------------------------------------------------
bic: 1695.95
--------------------------------------------------------------------------------
MSE: 292.25
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.15 |   0.28   |  -0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.12  |   0.15   |   7.42   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.22 |   0.27   |  -0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.34 |   0.32   |  -1.03   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.14 |   0.15   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   1.05   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.02 |   0.03   |  -0.75   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.03   |   0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.00 |   0.05   |  -0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.00 |   0.37   |  -2.70   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.09  |   0.09   |   1.05   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.17 |   0.22   |  -0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.47  |   0.21   |   2.25   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.41 |   0.44   |  -0.93   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | 0.02  |   0.06   |   0.35   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.04 |   0.02   |  -1.95   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.01  |   0.02   |   0.43   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.00  |   0.06   |   0.00   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.16 |   0.10   |  -1.58   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.00  |   0.01   |   0.18   | 0.86       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.01   |   0.22   | 0.83       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.00  |   0.00   |   1.28   | 0.20       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 0.08  |   0.01   |   8.60   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.06 |   0.00   |  -38.05  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.00  |   0.00   |   0.38   | 0.70       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.05 |   0.02   |  -3.31   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.01  |   0.00   |   9.83   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | 0.06  |   0.00   |  17.28   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| SINGLE (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.00  |   0.00   |   1.78   | 0.08.      |
| Dev. tn_normal) .       |         |       |          |          |            |
| SINGLE (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.02  |   0.01   |   1.62   | 0.11       |
| Dev. tn_normal) .       |         |       |          |          |            |
| DOUBLE (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.11 |   0.01   |  -19.48  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| SINGLE (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.00 |   0.00   |  -4.31   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| DOUBLE (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.00  |   0.01   |   0.47   | 0.64       |
| Dev. triangular) .      |         |       |          |          |            |
| GRADEBR (Std. Dev.      |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.08  |   0.00   |  39.70   | 0.00***    |
| Dev. uniform) . SINGLE  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.01  |   0.01   |   1.23   | 0.22       |
| Dev. uniform) . DOUBLE  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.00  |   0.00   |   3.27   | 0.00***    |
| Dev. uniform) . GRADEBR |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.00 |   0.00   |  -0.99   | 0.32       |
| Dev. uniform) . MIGRADE |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 3.45  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -729.1671556654202
--------------------------------------------------------------------------------
bic: 1635.43
--------------------------------------------------------------------------------
MSE: 185.46
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.25 |   0.38   |  -0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.02 |   0.00   |  -5.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.60 |   0.40   |  -1.50   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.08 |   0.09   |  -0.87   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.07 |   0.05   |  -1.46   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.01 |   0.06   |  -0.12   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.34  |   0.16   |   2.16   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.04   |   0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.01  |   0.02   |   0.30   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.40 |   0.20   |  -1.97   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.24 |   0.36   |  -3.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.14  |   0.09   |   1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.07 |   0.04   |  -1.70   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.25  |   0.14   |   1.84   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.08  |   0.02   |   3.30   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.99  |   0.08   |  12.58   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.01  |   0.03   |   0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.03   |   0.99   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | -0.07 |   0.00   |  -35.82  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.06 |   0.00   |  -28.48  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.06 |   0.00   |  -30.90  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.21 |   0.01   |  -24.00  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.32 |   0.00   |  -50.00  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.01  |   0.00   |   8.86   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.51  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.35 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   | arcsinh | 0.32  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: TANGENT: hetro    | arcsinh | -0.09 |   0.09   |  -1.07   | 0.29       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  | no      | -0.19 |   0.09   |  -2.16   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 0 |         | 0.17  |   0.06   |   2.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: TANGENT: hetro    |         | 0.05  |   0.01   |   5.80   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -763.4053821356332
--------------------------------------------------------------------------------
bic: 1698.01
--------------------------------------------------------------------------------
MSE: 391.50
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.09 |   0.36   |  -3.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.31 |   0.12   |  -2.66   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | 0.11  |   0.27   |   0.41   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.89   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.08  |   0.04   |   2.20   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.03   |   1.62   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.60 |   0.26   |  -2.35   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.05   |   0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.69 |   0.13   |  -13.15  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.40  |   0.08   |   5.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | -0.03 |   0.03   |  -0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.02 |   0.26   |  -0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.57 |   0.34   |  -1.66   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.04   |   2.13   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.09 |   0.07   |  -1.28   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.49  |   0.12   |   4.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.10 |   0.18   |  -0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.22  |   0.20   |   1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.07  |   0.12   |   0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.00 |   0.00   |  -0.00   | 1.00       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.00 |   0.01   |  -0.04   | 0.97       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.00 |   0.00   |  -2.40   | 0.02*      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | -0.00 |   0.00   |  -0.15   | 0.88       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.00 |   0.00   |  -0.62   | 0.54       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.66 |   0.01   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.29 |   0.05   |  -5.47   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.00 |   0.00   |  -0.61   | 0.54       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | 0.59  |   0.01   |  47.38   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.00 |   0.01   |  -0.32   | 0.75       |
| Dev. tn_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | 0.35  |   0.07   |   5.24   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| DOUBLE (Std. Dev.       |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.67  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -748.8423591545834
--------------------------------------------------------------------------------
bic: 1677.17
--------------------------------------------------------------------------------
MSE: 653.04
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.91 |   0.78   |  -1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 1.14  |   0.13   |   8.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.20 |   0.10   |  -2.12   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.60  |   0.18   |   3.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.01 |   0.07   |  -0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.02 |   0.02   |  -0.93   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.20  |   0.05   |   4.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.60 |   0.11   |  -5.60   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.12 |   0.03   |  -3.65   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.22 |   0.06   |  -3.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.31  |   0.20   |   1.58   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   1.06   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.00 |   0.00   |  -1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.01   |  -0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.14 |   0.14   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.59  |   0.12   |   4.78   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.01 |   0.01   |  -1.06   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.38 |   0.01   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | -0.02 |   0.00   |  -21.80  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.01  |   0.00   |   8.15   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.12 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.01  |   0.00   |   8.70   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.00 |   0.00   |  -11.48  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.01  |   0.00   |   5.19   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.51  |   0.01   |  48.75   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | 0.04  |   0.00   |  10.72   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.00  |   0.00   |   3.55   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | -0.68 |   0.01   |  -50.00  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.01  |   0.00   |  15.25   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    | no      | -0.03 |   0.00   |  -23.58  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| MXMEDSH (Std. Dev.      |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: ACCESS: hetro     | log     | -0.43 |   0.18   |  -2.42   | 0.02*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 |         | -2.26 |   0.25   |  -9.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: ACCESS: hetro     |         | 0.07  |   0.03   |   2.12   | 0.03*      |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -747.4444034581331
--------------------------------------------------------------------------------
bic: 1670.09
--------------------------------------------------------------------------------
MSE: 370.59
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.56 |   0.13   |  -4.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.27  |   0.12   |  11.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.06  |   0.09   |   0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -1.09 |   0.10   |  -10.54  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.31 |   0.19   |  -1.59   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.00 |   0.09   |  -11.53  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.30  |   0.12   |   2.52   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.06 |   0.10   |  -0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.03   |   1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.17  |   0.07   |   2.56   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.06   |  -0.65   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.23 |   0.14   |  -1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.04 |   0.11   |  -0.35   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.07  |   0.11   |   0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.24  |   0.11   |   2.13   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.02  |   0.06   |   0.31   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.08   |   1.41   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.00  |   0.00   |   0.08   | 0.94       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.00  |   0.00   |   0.19   | 0.85       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.00   |  -0.30   | 0.77       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | -0.00 |   0.01   |  -0.34   | 0.74       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.00 |   0.01   |  -0.25   | 0.81       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.00  |   0.00   |   0.21   | 0.84       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.00 |   0.01   |  -0.23   | 0.82       |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.00  |   0.00   |   0.23   | 0.82       |
| Dev. normal) . PEAKHR   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | 0.00  |   0.00   |   0.56   | 0.57       |
| normal) . PEAKHR (Std.  |         |       |          |          |            |
| Dev.   uniform )        |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.00 |   0.01   |  -0.02   | 0.99       |
| normal) . MEDWIDTH      |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    | arcsinh | 0.47  |   0.10   |   4.58   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE: hetro group 0  | arcsinh | 0.05  |   0.04   |   1.22   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    |         | -0.00 |   0.06   |  -0.00   | 1.00       |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.11  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -743.2177131545702
--------------------------------------------------------------------------------
bic: 1655.14
--------------------------------------------------------------------------------
MSE: 6412.65
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.22 |   0.31   |  -7.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.38  |   0.14   |  10.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.18 |   0.10   |  -1.84   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.34  |   0.13   |   2.69   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.09 |   0.06   |  -1.65   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.00  |   0.02   |   0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.06 |   0.03   |  -1.84   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.01   |   1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.08 |   0.25   |  -0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.12  |   0.11   |   1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.04   |  -0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.30 |   0.16   |  -1.90   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.02 |   0.02   |  -1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.09  |   0.07   |   1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.29 |   0.13   |  -2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.00 |   0.24   |  -0.00   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -1.61 |   0.17   |  -9.51   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.02  |   0.21   |   0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.08  |   0.00   |  40.06   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.01  |   0.00   |   3.63   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.01  |   0.00   |   5.50   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.00 |   0.00   |  -7.79   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.09 |   0.01   |  -17.75  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 1.18  |   0.01   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.47  |   0.01   |  50.00   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.09 |   0.00   |  -43.86  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.08 |   0.01   |  -14.74  | 0.00***    |
| normal) . INCLANES      |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -1.06 |   0.01   |  -50.00  | 0.00***    |
| Dev. normal) . INCLANES |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.78 |   0.01   |  -50.00  | 0.00***    |
| Dev. normal) . WIDTH    |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -763.4540478524252
--------------------------------------------------------------------------------
bic: 1718.19
--------------------------------------------------------------------------------
MSE: 277.74
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.49 |   0.20   |  -2.46   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.51 |   0.18   |  -2.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | 0.01  |   0.00   |   3.41   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.03  |   0.08   |   0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.08 |   0.20   |  -0.42   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.02   |   2.59   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.05  |   0.03   |   1.68   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.34  |   0.10   |   3.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.93 |   0.16   |  -5.75   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.04  |   0.04   |   1.05   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.44  |   0.15   |   2.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.10  |   0.06   |   1.61   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.02   |   1.77   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.01 |   0.01   |  -1.39   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -1.19   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.75 |   0.22   |  -3.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.17 |   0.10   |  -1.59   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.76  |   0.05   |  15.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.40  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | -0.01 |   0.00   |  -15.15  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.08 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.03 |   0.01   |  -4.50   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.00  |   0.00   |   1.15   | 0.25       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.00  |   0.00   |  27.29   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -0.79   | 0.43       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.46  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.56  |   0.01   |  50.00   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.03  |   0.00   |  26.35   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.23  |   0.01   |  33.71   | 0.00***    |
| triangular) . DECLANES  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.32 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    | no      | -0.04 |   0.00   |  -10.74  | 0.00***    |
| Dev. lm_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    | no      | 0.07  |   0.02   |   3.42   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE: hetro group 0   | arcsinh | 0.00  |   0.02   |   0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  |         | -0.45 |   0.08   |  -5.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    |         | -0.07 |   0.01   |  -9.03   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -749.4032632817084
--------------------------------------------------------------------------------
bic: 1673.40
--------------------------------------------------------------------------------
MSE: 679.63
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.83 |   0.91   |  -0.91   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.19  |   0.02   |  11.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.37 |   0.19   |  -1.87   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.00 |   0.06   |  -0.03   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.43  |   0.12   |   3.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.24 |   0.10   |  -2.44   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.02  |   0.02   |   1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.03  |   0.02   |   1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.55 |   0.29   |  -5.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.24 |   0.19   |  -1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | -0.07 |   0.24   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.21  |   0.08   |   2.69   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.19  |   0.07   |   2.69   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.32 |   0.11   |  -2.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -3.30   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.16  |   0.11   |   1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.04  |   0.03   |   1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.34 |   0.24   |  -1.41   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.01 |   0.04   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.06  |   0.00   |  24.53   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.05 |   0.00   |  -27.27  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.10 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.15  |   0.00   |  33.49   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | -0.08 |   0.00   |  -35.80  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.05  |   0.00   |  38.38   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | -0.01 |   0.00   |  -2.75   | 0.01*      |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 0.06  |   0.01   |  12.37   | 0.00***    |
| Dev. tn_normal) . FC    |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.08 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) . FC    |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.00  |   0.00   |   2.23   | 0.03*      |
| Dev. lm_normal) .       |         |       |          |          |            |
| SINGLE (Std. Dev.       |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -763.0646807695987
--------------------------------------------------------------------------------
bic: 1707.23
--------------------------------------------------------------------------------
MSE: 268.47
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -3.72 |   0.81   |  -4.57   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.03  |   0.08   |   0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.00 |   0.02   |  -0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.02  |   0.07   |   0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.04   |   1.35   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.08 |   0.15   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.03   |  -0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.01 |   0.04   |  -0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.27 |   0.30   |  -0.89   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.15  |   0.17   |   6.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.32 |   0.19   |  -1.72   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.28 |   0.15   |  -1.83   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.06 |   0.08   |  -0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.11 |   0.20   |  -0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.01  |   0.02   |   0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.05 |   0.02   |  -2.73   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.13 |   0.31   |  -0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.02  |   0.05   |   0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.00 |   0.01   |  -0.02   | 0.98       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.00  |   0.00   |   0.17   | 0.87       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.56  |   0.02   |  32.03   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.00  |   0.00   |   1.97   | 0.05.      |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.00  |   0.01   |   0.09   | 0.92       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.00  |   0.00   |   2.47   | 0.01*      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -2.67   | 0.01*      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | -0.01 |   0.01   |  -1.29   | 0.20       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.00 |   0.00   |  -1.54   | 0.13       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | 0.00  |   0.00   |   0.55   | 0.58       |
| Dev. lm_normal) .       |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   | no      | 0.18  |   0.29   |   0.63   | 0.53       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC: hetro group 0       | no      | -0.06 |   0.08   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   |         | -0.00 |   0.06   |  -0.04   | 0.97       |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.48  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -769.6430842935712
--------------------------------------------------------------------------------
bic: 1697.70
--------------------------------------------------------------------------------
MSE: 657.80
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.78 |   0.76   |  -1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.52 |   0.16   |  -3.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.50  |   0.17   |   2.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -2.05 |   0.22   |  -9.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.38 |   0.11   |  -3.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.13 |   0.06   |  -2.33   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.41 |   0.18   |  -2.26   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.26  |   0.13   |   1.95   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -0.95   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.17  |   0.03   |   6.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.00 |   0.01   |  -0.85   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.08 |   0.06   |  -1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.01  |   0.02   |   0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.63  |   0.12   |   5.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.31  |   0.09   |   3.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.06   |   1.27   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.00 |   0.00   |  -1.96   | 0.05.      |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.00  |   0.00   |   2.43   | 0.02*      |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.02  |   0.00   |  49.59   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.00  |   0.00   |   1.52   | 0.13       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | 0.42  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.13  |   0.00   |  36.76   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.07 |   0.01   |  -12.46  | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.36 |   0.00   |  -50.00  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| DOUBLE (Std. Dev.       |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.29 |   0.00   |  -50.00  | 0.00***    |
| uniform) . DOUBLE (Std. |         |       |          |          |            |
| Dev.   tn_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.21 |   0.01   |  -25.76  | 0.00***    |
| uniform) . GRADEBR      |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -771.3375743627304
--------------------------------------------------------------------------------
bic: 1711.38
--------------------------------------------------------------------------------
MSE: 1373.72
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.76 |   0.35   |  -2.18   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.10  |   0.04   |   2.82   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.15 |   0.09   |  -1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.08 |   0.05   |  -1.75   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.08  |   0.10   |   0.75   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.06  |   0.01   |   4.33   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.44 |   0.16   |  -2.78   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.12  |   0.05   |   2.22   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.56  |   0.06   |   8.73   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.03 |   0.02   |  -1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.10 |   0.18   |  -0.58   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.19 |   0.10   |  -1.95   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.10  |   0.01   |   9.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.00 |   0.05   |  -0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.07  |   0.07   |   1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.09  |   0.03   |   2.60   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -3.60   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.57 |   0.07   |  -8.33   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.19  |   0.11   |   1.73   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.10  |   0.00   |  31.82   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.03  |   0.00   |  32.09   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.03 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.13  |   0.00   |  41.41   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.02  |   0.00   |  20.80   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.02 |   0.00   |  -15.09  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.52  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.01  |   0.01   |   1.60   | 0.11       |
| Dev. uniform) . MINRAD  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -751.2475404140087
--------------------------------------------------------------------------------
bic: 1700.17
--------------------------------------------------------------------------------
MSE: 225.42
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.16 |   0.80   |  -0.21   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.32 |   0.18   |  -1.84   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.16 |   0.49   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.02   |   3.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.26 |   0.35   |  -0.75   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.12 |   0.15   |  -0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.00  |   0.07   |   0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.43  |   0.17   |   2.55   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.03  |   0.10   |   0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.08  |   0.08   |   1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.03  |   0.02   |   1.78   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.05  |   0.02   |   2.44   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.35  |   0.05   |   6.37   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.30  |   0.10   |   3.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.28 |   0.15   |  -1.79   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.16  |   0.28   |   0.56   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.84 |   0.59   |  -1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -1.14   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.55  |   0.09   |   6.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.26 |   0.23   |  -1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.05  |   0.04   |   1.40   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.48 |   0.09   |  -5.39   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.15 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.15  |   0.00   |  39.94   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.04 |   0.00   |  -22.46  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   3.02   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.30 |   0.01   |  -26.36  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.02  |   0.02   |   1.21   | 0.23       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.05 |   0.00   |  -11.88  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.01  |   0.00   |  10.63   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.31 |   0.02   |  -17.90  | 0.00***    |
| Dev. uniform) . GRADEBR |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.05 |   0.00   |  -14.50  | 0.00***    |
| Dev. uniform) . GRADEBR |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.20  |   0.01   |  34.56   | 0.00***    |
| Dev. uniform) . ACCESS  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.03 |   0.00   |  -6.37   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| GRADEBR (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.05  |   0.00   |  16.18   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| ACCESS (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.05  |   0.00   |  28.17   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| MEDWIDTH (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -742.4005985003195
--------------------------------------------------------------------------------
bic: 1621.64
--------------------------------------------------------------------------------
MSE: 332.49
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.99 |   0.56   |  -1.79   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.08 |   0.10   |  -0.79   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.13 |   0.04   |  -3.58   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.07 |   0.24   |  -0.30   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.10  |   0.03   |   3.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.15  |   0.06   |   2.46   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | -0.02 |   0.09   |  -0.21   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.03  |   0.08   |  12.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.03  |   0.02   |   1.12   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.00  |   0.02   |   0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.31   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.92 |   0.09   |  -21.64  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.28 |   0.11   |  -2.42   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.21  |   0.21   |   1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.26  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.05 |   0.00   |  -19.84  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.00   |  -3.74   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.04 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.07  |   0.00   |  25.64   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.75 |   0.01   |  -50.00  | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.00  |   0.00   |   2.05   | 0.04*      |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     | no      | 0.01  |   0.00   |   3.15   | 0.00***    |
| Dev. tn_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      | no      | -0.01 |   0.00   |  -3.38   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN: hetro group 0    |         | -0.00 |   0.04   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      |         | -0.01 |   0.00   |  -8.74   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -759.4887823556663
--------------------------------------------------------------------------------
bic: 1679.39
--------------------------------------------------------------------------------
MSE: 1103.00
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.40 |   0.27   |  -1.45   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.30 |   0.10   |  -2.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.04  |   0.12   |   0.31   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.39  |   0.14   |   2.68   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.23 |   0.12   |  -1.99   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.09 |   0.04   |  -2.10   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.42  |   0.22   |   1.89   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.23  |   0.22   |   1.03   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.08  |   0.08   |   1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.09  |   0.03   |   2.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.02   |  -0.41   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.54 |   0.21   |  -2.58   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.75 |   0.24   |  -7.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.13 |   0.10   |  -1.30   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.09 |   0.07   |  -1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.97  |   0.15   |   6.39   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.00 |   0.02   |  -0.00   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.24  |   0.08   |   2.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.02 |   0.05   |  -0.42   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.01 |   0.09   |  -0.07   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.09  |   0.00   |  37.16   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.09 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.41  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 0.04  |   0.00   |  18.89   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | 0.02  |   0.00   |   4.17   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    | no      | 0.11  |   0.01   |  10.38   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| SINGLE (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      | no      | -0.15 |   0.08   |  -1.99   | 0.05.      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 |         | 0.06  |   0.04   |   1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      |         | -0.06 |   0.03   |  -2.37   | 0.02*      |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -742.5231051067569
--------------------------------------------------------------------------------
bic: 1658.75
--------------------------------------------------------------------------------
MSE: 342.60
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.12 |   0.19   |  -0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.19 |   0.12   |  -1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.06  |   0.08   |   0.70   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | -0.12 |   0.11   |  -1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.00 |   0.04   |  -0.02   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.09  |   0.03   |   3.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.02 |   0.02   |  -1.03   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.00 |   0.02   |  -0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.24  |   0.06   |   3.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.11  |   0.07   |   1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.01   |  -0.12   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.97  |   0.12   |   8.41   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.21 |   0.11   |  -1.86   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.04  |   0.02   |   1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.16 |   0.16   |  -1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.26 |   0.06   |  -4.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.08  |   0.08   |   1.03   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.20 |   0.12   |  -1.77   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.04 |   0.01   |  -6.12   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.63  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.00  |   0.00   |   2.20   | 0.03*      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.04 |   0.00   |  -25.78  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.10 |   0.00   |  -33.10  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.05 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   | arcsinh | 0.06  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . GRADEBR |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      | arcsinh | -0.44 |   0.30   |  -1.46   | 0.14       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED: hetro group 0    | no      | -0.62 |   0.22   |  -2.77   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN: hetro group 0    | no      | -0.00 |   0.05   |  -0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 |         | 0.05  |   0.03   |   1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      |         | 0.01  |   0.01   |   1.34   | 0.18       |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -765.0238008594139
--------------------------------------------------------------------------------
bic: 1700.75
--------------------------------------------------------------------------------
MSE: 12613.07
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.24 |   0.81   |  -0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.62 |   0.17   |  -3.56   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | 0.00  |   0.00   |   0.65   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.11  |   0.04   |   3.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.03   |   2.56   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.02   |  -0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.62   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.33  |   0.04   |   8.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.58 |   0.13   |  -4.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.02 |   0.02   |  -0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.33 |   0.14   |  -2.44   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.75 |   0.31   |  -2.43   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.04  |   0.05   |   0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.02   |   0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.50 |   0.13   |  -3.79   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.04 |   0.09   |  -0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.27 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.00  |   0.00   |   1.05   | 0.29       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.04 |   0.00   |  -15.13  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.03  |   0.00   |  15.31   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.09  |   0.00   |  21.13   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.01  |   0.00   |   2.23   | 0.03*      |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.75  |   0.01   |  50.00   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    | sqrt    | 0.01  |   0.00   |  22.53   | 0.00***    |
| Dev. tn_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     | no      | -0.21 |   0.21   |  -0.99   | 0.33       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 0  | no      | 0.02  |   0.05   |   0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF: hetro group 0 | arcsinh | 0.06  |   0.03   |   2.31   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT: hetro group 0  |         | -0.08 |   0.08   |  -1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     |         | 0.11  |   0.02   |   5.37   | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -744.8656569494647
--------------------------------------------------------------------------------
bic: 1661.54
--------------------------------------------------------------------------------
MSE: 232.21
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.49 |   0.52   |  -0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.98  |   0.14   |   7.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.21 |   0.23   |  -0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.15 |   0.28   |  -0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.21 |   0.20   |  -1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.09 |   0.09   |  -0.93   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.11 |   0.27   |  -0.42   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.07   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.05   |   1.50   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.01  |   0.11   |   0.06   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.34 |   0.26   |  -1.30   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.68 |   0.27   |  -6.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.11  |   0.13   |   0.87   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.07 |   0.08   |  -0.85   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.03   |   2.02   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.26 |   0.14   |  -1.89   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.03   |  -0.26   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.24  |   0.31   |   0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.13  |   0.11   |   1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.28   | 0.78       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.22  |   0.03   |   8.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.00   |  -0.13   | 0.90       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.00 |   0.01   |  -0.08   | 0.93       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | 0.00  |   0.01   |   0.32   | 0.75       |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.00 |   0.01   |  -0.12   | 0.91       |
| lm_normal) . PEAKHR     |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      | arcsinh | 0.03  |   0.26   |   0.12   | 0.90       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   | arcsinh | 0.02  |   0.03   |   0.75   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 0 | no      | 0.25  |   0.10   |   2.53   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      |         | -0.00 |   0.02   |  -0.00   | 1.00       |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.28  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -763.2805050046702
--------------------------------------------------------------------------------
bic: 1684.98
--------------------------------------------------------------------------------
MSE: 11773.64
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -3.13 |   0.19   |  -16.85  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.10 |   0.04   |  -2.61   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.29 |   0.19   |  -1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | -0.18 |   0.10   |  -1.70   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | -0.15 |   0.13   |  -1.20   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.05   |  -0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.01   |   3.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.02 |   0.02   |  -1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.06 |   0.01   |  -7.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.32 |   0.12   |  -2.66   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.38 |   0.13   |  -2.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.07 |   0.05   |  -1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.29  |   0.03   |  10.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.29  |   0.10   |   2.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.04  |   0.09   |   0.46   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.31 |   0.01   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.33  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.14 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.20 |   0.00   |  -50.00  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.36  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | 0.23  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.43  |   0.01   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.19 |   0.01   |  -15.85  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    | sqrt    | -0.60 |   0.01   |  -50.00  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: ADTLANE: hetro    | no      | -0.01 |   0.00   |  -3.53   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 0 |         | 0.25  |   0.05   |   5.05   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: ADTLANE: hetro    |         | 0.01  |   0.00   |   6.71   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -762.9481863662893
--------------------------------------------------------------------------------
bic: 1691.71
--------------------------------------------------------------------------------
MSE: 1671.54
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.25 |   0.23   |  -1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.13  |   0.03   |   4.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.04 |   0.03   |  -1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.46 |   0.11   |  -4.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.20 |   0.11   |  -1.77   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.04  |   0.04   |   0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.14 |   0.22   |  -0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.06 |   0.13   |  -0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.04  |   0.02   |   2.54   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.05  |   0.03   |   1.82   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.02   |  -0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.14 |   0.18   |  -0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.09  |   0.06   |   1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.02 |   0.00   |  -3.37   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.02   |   3.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   1.59   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.57 |   0.10   |  -5.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.39  |   0.12   |   3.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.21 |   0.07   |  -3.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.05  |   0.02   |   2.81   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.41  |   0.08   |   5.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.00  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.01 |   0.00   |  -12.05  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.02  |   0.00   |  47.12   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.07 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | -0.35 |   0.01   |  -45.22  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.26 |   0.01   |  -33.64  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.01  |   0.00   |  12.05   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.11  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.06  |   0.00   |  18.04   | 0.00***    |
| Dev. normal) . GRADEBR  |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -788.4621771889193
--------------------------------------------------------------------------------
bic: 1751.52
--------------------------------------------------------------------------------
MSE: 313.51
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.11  |   1.04   |   0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.26 |   0.07   |  -3.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.14 |   0.06   |  -2.44   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.06  |   0.39   |   0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | -0.03 |   0.39   |  -0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.09  |   0.03   |   3.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.12  |   0.05   |   2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.08  |   0.02   |   3.33   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.08  |   0.04   |   1.93   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.24  |   0.11   |   2.27   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.10 |   0.06   |  -1.54   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.01  |   0.03   |   0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.34  |   0.22   |   1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.01 |   0.13   |  -0.08   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | 0.31  |   0.21   |   1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.10  |   0.12   |   0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.06   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.74 |   0.34   |  -2.17   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.55 |   0.10   |  -5.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.24 |   0.46   |  -0.52   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.66  |   0.06   |  10.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.01 |   0.00   |  -3.44   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.32 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.01  |   0.00   |   4.16   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.02  |   0.00   |  19.59   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.01 |   0.01   |  -2.74   | 0.01*      |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.05 |   0.00   |  -28.47  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.11  |   0.00   |  34.05   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.02 |   0.00   |  -7.43   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.01  |   0.01   |   1.96   | 0.05.      |
| Dev. normal) . SPEED    |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -771.7716126480816
--------------------------------------------------------------------------------
bic: 1720.64
--------------------------------------------------------------------------------
MSE: 247.95
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.06 |   0.77   |  -0.08   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.61 |   0.38   |  -1.59   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.28 |   0.13   |  -2.07   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.09 |   0.36   |  -0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.19 |   0.21   |  -0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.01 |   0.11   |  -0.07   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.56  |   0.07   |   8.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.05  |   0.08   |   0.62   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.16  |   0.26   |   0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | -0.02 |   0.03   |  -0.64   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.07   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.08  |   0.03   |   3.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.77 |   0.45   |  -1.72   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.32 |   0.10   |  -3.05   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | -0.01 |   0.11   |  -0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.21 |   0.17   |  -1.24   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.01 |   0.06   |  -0.20   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.02  |   0.05   |   0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) uniform  |         | -0.26 |   0.00   |  -50.00  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.01  |   0.00   |   2.92   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.05 |   0.00   |  -26.06  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.02  |   0.01   |   2.07   | 0.04*      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.68  |   0.03   |  21.77   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.09 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.05 |   0.00   |  -12.90  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.07 |   0.00   |  -34.57  | 0.00***    |
| Dev. lm_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.12  |   0.00   |  24.18   | 0.00***    |
| Dev. uniform) . URB     |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   | arcsinh | 0.22  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . DOUBLE  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    | arcsinh | 0.51  |   0.23   |   2.22   | 0.03*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT: hetro group 0  |         | 0.17  |   0.12   |   1.43   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    |         | 0.16  |   0.05   |   3.35   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -779.8553361904522
--------------------------------------------------------------------------------
bic: 1729.91
--------------------------------------------------------------------------------
MSE: 3803.54
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.77 |   0.21   |  -3.62   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.34 |   0.12   |  -2.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.10 |   0.04   |  -2.41   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | 0.11  |   0.14   |   0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.33  |   0.14   |   2.44   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.02   |  -0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | -0.02 |   0.09   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.62   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.22  |   0.02   |   8.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.07  |   0.13   |   0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | 0.03  |   0.02   |   1.39   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.05   |  -0.18   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   2.07   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.10  |   0.02   |   4.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.36 |   0.19   |  -1.84   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.05  |   0.04   |   1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.09  |   0.08   |   1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.31  |   0.10   |   3.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.07 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.19  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.00  |   0.00   |   0.63   | 0.53       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.02 |   0.00   |  -5.29   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.03 |   0.00   |  -21.66  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.33 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.03  |   0.00   |  22.09   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.00 |   0.00   |  -1.25   | 0.21       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   | no      | 0.12  |   0.00   |  27.77   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    | arcsinh | -0.01 |   0.03   |  -0.40   | 0.69       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED: hetro group 0    |         | -1.84 |   0.10   |  -17.92  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    |         | 0.10  |   0.01   |   9.72   | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -753.9426687299732
--------------------------------------------------------------------------------
bic: 1661.01
--------------------------------------------------------------------------------
MSE: 518.35
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.82 |   0.75   |  -2.42   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.24  |   0.16   |   7.56   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.20  |   0.22   |   0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -1.78 |   0.36   |  -5.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.11  |   0.11   |   0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.02   |   0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.37  |   0.22   |   1.70   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.09 |   0.05   |  -1.87   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.17  |   0.11   |   1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.09 |   0.27   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.06  |   0.21   |   0.30   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.12  |   0.09   |   1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.02   |   0.21   | 0.84       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | 0.00  |   0.00   |   0.22   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -0.97   | 0.33       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.12 |   0.01   |  -21.72  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | -0.00 |   0.02   |  -0.20   | 0.84       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.00 |   0.01   |  -0.73   | 0.47       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.00 |   0.01   |  -0.28   | 0.78       |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.00  |   0.01   |   0.29   | 0.77       |
| Dev. uniform) . SINGLE  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.00 |   0.01   |  -0.14   | 0.89       |
| triangular) . SINGLE    |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | 0.01  |   0.01   |   0.63   | 0.53       |
| triangular) . PEAKHR    |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: TANGENT: hetro    | arcsinh | -0.01 |   0.15   |  -0.09   | 0.92       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 | no      | 0.01  |   0.05   |   0.17   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| main: TANGENT: hetro    |         | 0.00  |   0.16   |   0.01   | 0.99       |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.10  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -754.1740487205485
--------------------------------------------------------------------------------
bic: 1654.08
--------------------------------------------------------------------------------
MSE: 238.71
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.64 |   0.48   |  -1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.10  |   0.27   |   0.38   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.17 |   0.18   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.06   |  -0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.03 |   0.06   |  -0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.11 |   0.31   |  -0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.05 |   0.11   |  -0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.26 |   0.41   |  -3.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.01  |   0.04   |   0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.03 |   0.08   |  -0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.79 |   0.36   |  -2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.02 |   0.10   |  -0.17   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.22  |   0.19   |   1.17   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.15  |   0.11   |   1.39   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.02 |   0.10   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.05  |   0.12   |   8.76   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.11 |   0.30   |  -0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.02  |   0.00   |   6.68   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.00 |   0.00   |  -0.04   | 0.97       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.03 |   0.01   |  -5.14   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.08 |   0.00   |  -20.02  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.00   |  -0.28   | 0.78       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | 0.11  |   0.01   |  11.20   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.03  |   0.00   |   9.91   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | -0.12 |   0.01   |  -13.60  | 0.00***    |
| Dev. normal) . LENGTH   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.22  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -730.684656105622
--------------------------------------------------------------------------------
bic: 1632.07
--------------------------------------------------------------------------------
MSE: 198.41
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.06 |   0.51   |  -0.12   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.24  |   0.12   |  10.59   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.04 |   0.04   |  -0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.03   |  -1.14   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.18 |   0.17   |  -1.10   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.01  |   0.12   |   0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   3.25   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.20  |   0.05   |   3.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.34  |   0.10   |   3.48   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.60 |   0.13   |  -4.70   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.03   |   2.35   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.23 |   0.08   |  -2.73   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.21 |   0.17   |  -6.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.30 |   0.08   |  -3.73   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.10  |   0.07   |   1.36   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.01   |  -0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.23 |   0.09   |  -2.53   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.01 |   0.08   |  -0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.60  |   0.01   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.03 |   0.00   |  -44.20  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.06  |   0.00   |  12.85   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.04  |   0.00   |  23.74   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.00 |   0.00   |  -1.18   | 0.24       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -2.38   | 0.02*      |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.69  |   0.01   |  46.55   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.07 |   0.00   |  -33.39  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     | arcsinh | -0.01 |   0.01   |  -2.66   | 0.01*      |
| Dev. normal) . URB      |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | no      | 0.26  |   0.18   |   1.44   | 0.15       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 |         | -0.01 |   0.04   |  -0.31   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | -0.14 |   0.04   |  -3.95   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -760.2158784457896
--------------------------------------------------------------------------------
bic: 1695.53
--------------------------------------------------------------------------------
MSE: 304.83
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.65 |   0.39   |  -1.68   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.00  |   0.17   |   0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.17 |   0.07   |  -2.24   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.95 |   0.42   |  -2.27   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.13 |   0.04   |  -3.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.03 |   0.20   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.42 |   0.14   |  -3.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.45  |   0.21   |   2.14   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.02  |   0.02   |   1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.32 |   0.34   |  -3.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.17  |   0.10   |   1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.15 |   0.06   |  -2.38   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.13 |   0.18   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.20 |   0.10   |  -2.00   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.61  |   0.16   |   3.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.11  |   0.08   |   1.36   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.05  |   0.03   |   1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.05   |   2.08   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.17  |   0.05   |   3.42   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.12  |   0.15   |   7.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.09 |   0.09   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.05  |   0.00   |  32.54   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.02  |   0.00   |   4.56   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.03  |   0.00   |  14.62   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.08  |   0.00   |  42.63   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.14 |   0.00   |  -31.39  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.02 |   0.00   |  -13.46  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.07 |   0.01   |  -9.51   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.03  |   0.00   |  18.47   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.01  |   0.01   |   2.08   | 0.04*      |
| Dev. normal) . LENGTH   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -739.4175342848632
--------------------------------------------------------------------------------
bic: 1655.93
--------------------------------------------------------------------------------
MSE: 274.41
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.26 |   0.39   |  -3.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.04  |   0.12   |   8.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.55  |   0.26   |   2.15   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.08 |   0.20   |  -0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.39 |   0.20   |  -1.93   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.27  |   0.23   |   1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | -0.02 |   0.08   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.05   |   0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.10  |   0.10   |   1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.11 |   0.09   |  -1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.03 |   0.04   |  -0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.07   |   2.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.01   |   0.31   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.25 |   0.33   |  -0.75   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.39 |   0.14   |  -2.81   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.01 |   0.08   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.27 |   0.24   |  -1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.55 |   0.10   |  -5.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.30 |   0.08   |  -3.68   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.13  |   0.08   |   1.73   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.36 |   0.37   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   0.75   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.13 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | -0.66 |   0.01   |  -50.00  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.03 |   0.00   |  -8.84   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.07 |   0.01   |  -10.32  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.00  |   0.00   |   1.25   | 0.21       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.06  |   0.00   |  13.41   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.04  |   0.00   |  10.63   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.01  |   0.00   |  13.27   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.03 |   0.00   |  -23.56  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -766.2354465022192
--------------------------------------------------------------------------------
bic: 1696.28
--------------------------------------------------------------------------------
MSE: 233.77
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.72 |   0.33   |  -2.19   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.04  |   0.03   |   1.45   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.29  |   0.14   |   2.11   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.00 |   0.06   |  -0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.06  |   0.01   |   3.75   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.40 |   0.17   |  -2.29   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -1.36   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -1.00 |   0.26   |  -3.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.02   |   3.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.15 |   0.24   |  -0.62   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.44  |   0.06   |   7.41   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.01  |   0.03   |   0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.06  |   0.04   |   1.40   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.57 |   0.07   |  -8.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.48  |   0.05   |   8.70   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.10  |   0.08   |   1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   3.04   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | -0.13 |   0.00   |  -30.66  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   3.87   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.11  |   0.00   |  26.12   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.11  |   0.00   |  26.07   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.02 |   0.00   |  -22.91  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.00  |   0.00   |   2.34   | 0.02*      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.07  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.09 |   0.01   |  -15.04  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.16  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    | no      | 0.06  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   | no      | 0.03  |   0.13   |   0.20   | 0.84       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC: hetro group 0       |         | -0.01 |   0.04   |  -0.35   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   |         | 0.08  |   0.02   |   3.32   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -765.881403974771
--------------------------------------------------------------------------------
bic: 1677.00
--------------------------------------------------------------------------------
MSE: 483.52
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.26 |   0.28   |  -0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.19  |   0.02   |  12.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.22 |   0.22   |  -1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | 0.00  |   0.00   |   0.62   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.02   |   3.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.51 |   0.16   |  -3.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.07 |   0.06   |  -1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.02  |   0.13   |   0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.24  |   0.24   |   0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.45   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.01  |   0.02   |   0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.49 |   0.21   |  -2.30   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.02 |   0.01   |  -1.78   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.08  |   0.03   |   2.51   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.39 |   0.13   |  -3.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.24  |   0.08   |   3.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.74  |   0.02   |  45.04   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.01 |   0.00   |  -37.23  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | -0.01 |   0.00   |  -12.61  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.91  |   0.01   |  50.00   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.05  |   0.00   |  12.30   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     | no      | -0.16 |   0.00   |  -50.00  | 0.00***    |
| Dev. triangular) . URB  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: ACCESS: hetro     | no      | 0.18  |   0.17   |   1.05   | 0.29       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 | arcsinh | -0.00 |   0.04   |  -0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  |         | -0.34 |   0.10   |  -3.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: ACCESS: hetro     |         | -0.02 |   0.04   |  -0.50   | 0.61       |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.4538111229515
--------------------------------------------------------------------------------
bic: 1666.11
--------------------------------------------------------------------------------
MSE: 220.06
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.25 |   0.63   |  -0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.01  |   0.03   |   0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.06   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.12  |   0.11   |   1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.03   |   0.61   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.15 |   0.25   |  -0.58   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.29 |   0.31   |  -4.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.10  |   0.09   |   1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.29  |   0.10   |   2.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.94  |   0.15   |   6.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.15 |   0.15   |  -0.95   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.13 |   0.23   |  -0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.03  |   0.03   |   1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.07 |   0.12   |  -0.61   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.26 |   0.14   |  -1.89   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.10 |   0.06   |  -1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.03 |   0.30   |  -0.11   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.00 |   0.00   |  -0.35   | 0.73       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | -0.13 |   0.02   |  -6.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.00 |   0.00   |  -0.09   | 0.93       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.00 |   0.01   |  -0.16   | 0.87       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.01   |  -0.06   | 0.95       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.00  |   0.00   |   1.62   | 0.11       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.04  |   0.00   |   9.42   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | -0.00 |   0.00   |  -0.49   | 0.63       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.00  |   0.00   |   0.60   | 0.55       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | -0.09 |   0.01   |  -10.87  | 0.00***    |
| Dev. lm_normal) . FC    |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.02 |   0.00   |  -7.74   | 0.00***    |
| Dev. tn_normal) . FC    |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.00 |   0.00   |  -0.52   | 0.61       |
| Dev. tn_normal) .       |         |       |          |          |            |
| SINGLE (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.19  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -716.8889118448404
--------------------------------------------------------------------------------
bic: 1610.87
--------------------------------------------------------------------------------
MSE: 478.64
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.76 |   0.42   |  -1.82   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.07  |   0.08   |  12.70   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.16 |   0.20   |  -0.82   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.04  |   0.05   |   0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.07 |   0.13   |  -0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.05  |   0.02   |   2.07   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.12  |   0.07   |   1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.00  |   0.08   |   0.03   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.01 |   0.06   |  -0.17   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.39 |   0.48   |  -2.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.00  |   0.05   |   0.08   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.05  |   0.04   |   1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.04  |   0.03   |   1.50   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.17 |   0.12   |  -1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.01   |   1.17   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.83 |   0.15   |  -5.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.10  |   0.08   |   1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.20 |   0.13   |  -1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.15 |   0.19   |  -0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.02  |   0.00   |   9.25   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | 0.28  |   0.03   |   9.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -1.10   | 0.27       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 1.42  |   0.01   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.14 |   0.00   |  -46.34  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.49 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.01 |   0.00   |  -26.14  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.26 |   0.01   |  -36.17  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.31 |   0.01   |  -50.00  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.10 |   0.00   |  -20.08  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.02  |   0.02   |   0.85   | 0.40       |
| Dev. lm_normal) .       |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.08  |   0.01   |  13.09   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.17  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| DOUBLE (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -775.6681467952071
--------------------------------------------------------------------------------
bic: 1723.15
--------------------------------------------------------------------------------
MSE: 229.23
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.11 |   0.59   |  -0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.06  |   0.35   |   0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.53  |   0.26   |   2.08   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.64 |   0.58   |  -1.10   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.21 |   0.24   |  -0.87   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.02 |   0.08   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.08 |   0.10   |  -0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.32  |   0.22   |   1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.11  |   0.03   |   4.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.62 |   0.40   |  -1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.19 |   0.23   |  -0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.11  |   0.22   |   0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.07 |   0.11   |  -0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.08  |   0.05   |   1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.05  |   0.03   |   1.67   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.18 |   0.23   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.47  |   0.13   |   3.53   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.25 |   0.30   |  -0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.04  |   0.10   |   0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.00  |   0.01   |   0.41   | 0.68       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.00  |   0.00   |   0.62   | 0.54       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -0.29   | 0.77       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.00 |   0.01   |  -0.32   | 0.75       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | -0.02 |   0.01   |  -1.69   | 0.09.      |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | 0.00  |   0.01   |   0.07   | 0.95       |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | 0.02  |   0.01   |   1.40   | 0.16       |
| normal) . INCLANES      |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      | log     | -0.68 |   0.54   |  -1.26   | 0.21       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 | no      | 0.04  |   0.06   |   0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      |         | 0.00  |   0.04   |   0.03   | 0.97       |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 1.58  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -797.5161879622952
--------------------------------------------------------------------------------
bic: 1747.55
--------------------------------------------------------------------------------
MSE: 395.83
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.97 |   0.40   |  -2.43   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.04 |   0.20   |  -0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | 0.01  |   0.08   |   0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.03   |   2.43   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.26  |   0.09   |   2.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.23  |   0.09   |   2.59   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.38 |   0.16   |  -2.33   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.10  |   0.04   |   2.34   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.01 |   0.01   |  -1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.02  |   0.02   |   0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.13 |   0.13   |  -0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.46 |   0.23   |  -6.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.71  |   0.07   |   9.57   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | -0.20 |   0.10   |  -2.05   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.06  |   0.00   |  42.02   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.01  |   0.00   |  12.11   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -28.47  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -0.39   | 0.69       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.75 |   0.01   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.23 |   0.00   |  -50.00  | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.03  |   0.00   |   8.90   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.87  |   0.01   |  50.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.25  |   0.00   |  50.00   | 0.00***    |
| normal) . MIMEDSH (Std. |         |       |          |          |            |
| Dev.   normal )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.14  |   0.00   |  33.94   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.12  |   0.01   |  18.73   | 0.00***    |
| Dev. lm_normal) . SPEED |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.29  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.12  |   0.01   |  23.26   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| SPEED (Std. Dev.        |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.32  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| CURVES (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -762.2470949921247
--------------------------------------------------------------------------------
bic: 1695.20
--------------------------------------------------------------------------------
MSE: 500.81
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.57 |   0.32   |  -1.75   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 1.02  |   0.12   |   8.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.14 |   0.10   |  -1.36   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.02   |   3.39   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.17 |   0.10   |  -1.78   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.04  |   0.05   |   0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.02  |   0.10   |   0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.01  |   0.12   |   0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.39 |   0.18   |  -7.61   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.07 |   0.03   |  -2.19   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.06 |   0.19   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.03   |   0.56   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.08  |   0.19   |   0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.00 |   0.04   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.25 |   0.09   |  -2.77   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.12   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.16 |   0.19   |  -0.85   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.20  |   0.08   |   2.38   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.12  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.04 |   0.00   |  -9.63   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.03  |   0.00   |  21.48   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.02 |   0.00   |  -10.70  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.00 |   0.00   |  -0.91   | 0.36       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.07  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -1.39   | 0.17       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.28  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | 0.09  |   0.00   |  40.97   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   | no      | -0.35 |   0.01   |  -41.25  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   | no      | -0.08 |   0.13   |  -0.56   | 0.57       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE: hetro group 0   |         | -0.01 |   0.07   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   |         | -0.10 |   0.02   |  -4.88   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -752.9394430222316
--------------------------------------------------------------------------------
bic: 1678.08
--------------------------------------------------------------------------------
MSE: 306.12
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.42 |   0.30   |  -1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.05  |   0.17   |   6.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.32 |   0.27   |  -1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.02  |   0.07   |   0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.20 |   0.14   |  -1.39   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.12 |   0.49   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.14 |   0.26   |  -0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.02  |   0.43   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.09  |   0.03   |   3.05   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.03  |   0.03   |   1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.37 |   0.19   |  -1.96   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.45 |   0.30   |  -1.50   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.25  |   0.09   |   2.77   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.06   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.00 |   0.51   |  -1.95   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.12 |   0.04   |  -2.82   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.43  |   0.26   |   1.62   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.02 |   0.16   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.07   |  -0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.04   |   0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.15  |   0.08   |   1.82   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.14  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.06  |   0.00   |  44.90   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.01  |   0.00   |   6.55   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.02 |   0.00   |  -10.11  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.07 |   0.00   |  -16.13  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.00 |   0.00   |  -1.48   | 0.14       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.05 |   0.01   |  -10.38  | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.04 |   0.00   |  -26.63  | 0.00***    |
| Dev. uniform) . MIGRADE |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.01 |   0.00   |  -3.74   | 0.00***    |
| uniform) . MIGRADE      |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | 0.09  |   0.01   |   9.61   | 0.00***    |
| uniform) . MEDWIDTH     |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -749.6009953546968
--------------------------------------------------------------------------------
bic: 1643.44
--------------------------------------------------------------------------------
MSE: 228.51
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -3.16 |   0.32   |  -9.77   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.64 |   0.12   |  -5.51   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.00 |   0.04   |  -0.03   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.11  |   0.02   |   4.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.08 |   0.12   |  -0.67   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.00  |   0.01   |   0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.00 |   0.08   |  -0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.27 |   0.11   |  -2.53   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.09  |   0.06   |   1.45   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.22  |   0.05   |   4.41   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.36  |   0.08   |   4.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.04 |   0.08   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.17  |   0.11   |  10.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.66 |   0.06   |  -11.29  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.07 |   0.09   |  -0.70   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.08 |   0.01   |  -12.83  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.67 |   0.01   |  -50.00  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.12  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.06 |   0.01   |  -6.59   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.20  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.12  |   0.01   |  18.88   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    | no      | -0.47 |   0.01   |  -50.00  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| ADTLANE (Std. Dev.      |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      | arcsinh | -0.07 |   0.03   |  -2.38   | 0.02*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR: hetro group 0   | no      | 0.13  |   0.10   |   1.33   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 |         | 0.05  |   0.04   |   1.20   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      |         | 0.01  |   0.02   |   0.53   | 0.60       |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -741.4920237316121
--------------------------------------------------------------------------------
bic: 1658.58
--------------------------------------------------------------------------------
MSE: 303.76
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.37 |   0.62   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.58 |   0.09   |  -6.39   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.04   |  -1.05   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.01 |   0.16   |  -0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.07  |   0.04   |   1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.02  |   0.05   |   0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.10  |   0.02   |   4.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.04  |   0.10   |   0.41   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.05  |   0.03   |   1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.50  |   0.13   |   3.75   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.31 |   0.08   |  -3.77   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.45  |   0.08   |   5.73   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.22  |   0.06   |   3.61   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.35 |   0.19   |  -1.83   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.40 |   0.09   |  -4.33   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.82 |   0.27   |  -3.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.36 |   0.07   |  -4.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.37  |   0.06   |   6.16   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.04 |   0.00   |  -33.63  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.02 |   0.00   |  -4.04   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.04 |   0.00   |  -22.15  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.03  |   0.00   |  16.20   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.02  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.01  |   0.00   |   5.20   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -3.94   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -1.09 |   0.01   |  -50.00  | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.00  |   0.00   |   1.77   | 0.08.      |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.03 |   0.00   |  -11.56  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.56  |   0.01   |  50.00   | 0.00***    |
| Dev. uniform) . SPEED   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.12 |   0.00   |  -27.28  | 0.00***    |
| Dev. normal) . SPEED    |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.06 |   0.01   |  -10.38  | 0.00***    |
| Dev. normal) . ADTLANE  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -779.748486756962
--------------------------------------------------------------------------------
bic: 1717.02
--------------------------------------------------------------------------------
MSE: 249.52
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.40 |   0.15   |  -2.63   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.00  |   0.08   |   0.02   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.31 |   0.16   |  -1.92   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.06  |   0.07   |   0.91   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.20  |   0.10   |   2.02   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.03   |   1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.48 |   0.22   |  -2.17   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.43 |   0.13   |  -3.39   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.50  |   0.13   |   3.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.19  |   0.12   |   1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.03   |  -0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.40  |   0.17   |   2.34   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.03 |   0.26   |  -0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.45 |   0.20   |  -2.20   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.42  |   0.11   |   3.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.07   |   0.17   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.01   |   0.27   | 0.79       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.01  |   0.01   |   1.17   | 0.24       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.00  |   0.00   |   0.04   | 0.97       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.00 |   0.00   |  -0.14   | 0.89       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.00 |   0.01   |  -0.17   | 0.86       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   | no      | -0.39 |   0.18   |  -2.20   | 0.03*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED: hetro group 0    | sqrt    | -0.55 |   0.15   |  -3.79   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | arcsinh | 0.27  |   0.15   |   1.80   | 0.07.      |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 1 | no      | 0.06  |   0.05   |   1.21   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   |         | -0.00 |   0.04   |  -0.01   | 0.99       |
| group 0:tn_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | -0.00 |   0.04   |  -0.02   | 0.99       |
| group 1:uniform:sd      |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 1.50  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -745.5039136133146
--------------------------------------------------------------------------------
bic: 1652.42
--------------------------------------------------------------------------------
MSE: 434.10
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.86 |   1.50   |  -1.24   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.13  |   0.21   |   0.62   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.21 |   0.10   |  -1.98   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.30  |   0.20   |   1.45   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.01 |   0.01   |  -0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.04   |   0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.02  |   0.03   |   0.93   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.02  |   0.02   |   0.87   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.03   |   0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.02 |   0.03   |  -0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.67 |   0.13   |  -5.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.15  |   0.06   |   2.65   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.57 |   0.19   |  -2.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.09  |   0.03   |   3.42   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.40 |   0.10   |  -3.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.03   |  -0.83   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.04 |   0.03   |  -1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.35 |   0.19   |  -1.84   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.34  |   0.19   |   7.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.02 |   0.05   |  -0.31   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.20  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.02  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.81  |   0.01   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.00  |   0.00   |   0.29   | 0.77       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.00 |   0.00   |  -9.45   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.21  |   0.00   |  49.91   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.00 |   0.01   |  -0.12   | 0.90       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.01  |   0.00   |   2.40   | 0.02*      |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.06 |   0.01   |  -6.31   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -732.4222617170708
--------------------------------------------------------------------------------
bic: 1629.65
--------------------------------------------------------------------------------
MSE: 266.95
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.04 |   0.46   |  -2.25   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.04   |  -0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.65   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.42 |   0.14   |  -2.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.02 |   0.04   |  -0.42   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.20  |   0.06   |   3.17   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.33  |   0.10   |   3.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.01   |  -0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.20  |   0.10   |  11.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.22 |   0.21   |  -1.03   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.67  |   0.14   |   4.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.34 |   0.11   |  -3.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.11  |   0.15   |   0.70   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.02 |   0.08   |  -0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.04 |   0.01   |  -4.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.41 |   0.25   |  -1.62   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.31 |   0.10   |  -3.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.21  |   0.01   |  24.55   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.05  |   0.00   |  14.51   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.05 |   0.00   |  -30.16  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.56  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.01 |   0.00   |  -11.74  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.00  |   0.00   |   0.46   | 0.65       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.86  |   0.01   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.03  |   0.00   |  22.79   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    | log     | -0.21 |   0.00   |  -50.00  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      | no      | -0.93 |   0.24   |  -3.93   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE: hetro group 0  |         | 0.04  |   0.01   |   3.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      |         | -0.05 |   0.03   |  -1.61   | 0.11       |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -721.3305456608074
--------------------------------------------------------------------------------
bic: 1617.26
--------------------------------------------------------------------------------
MSE: 5279.33
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.26 |   0.99   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.40 |   0.19   |  -2.08   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.06  |   0.05   |   1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.40 |   0.34   |  -4.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.16 |   0.10   |  -1.53   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.02 |   0.02   |  -0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.34 |   0.32   |  -1.06   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.43  |   0.11   |  12.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.24 |   0.17   |  -1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.00 |   0.00   |  -0.55   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.19  |   0.07   |   2.59   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.19 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | 0.14  |   0.01   |  16.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.00  |   0.00   |   1.85   | 0.07.      |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.01 |   0.00   |  -17.33  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.03 |   0.00   |  -33.23  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | 0.43  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.08  |   0.01   |   6.17   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.00 |   0.00   |  -46.57  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | -0.05 |   0.00   |  -25.44  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | -0.03 |   0.01   |  -4.35   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) . LENGTH   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.17  |   0.01   |  22.59   | 0.00***    |
| Dev. normal) . INCLANES |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | -0.01 |   0.00   |  -23.31  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.04  |   0.01   |   3.06   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     | no      | 0.07  |   0.01   |  13.25   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| ADTLANE (Std. Dev.      |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    | no      | 0.04  |   0.03   |   1.07   | 0.29       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT: hetro group 0  | no      | -0.00 |   0.03   |  -0.03   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 |         | 0.06  |   0.04   |   1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    |         | 0.10  |   0.03   |   3.12   | 0.00***    |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -751.0522914402519
--------------------------------------------------------------------------------
bic: 1660.52
--------------------------------------------------------------------------------
MSE: 4993.61
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.01 |   0.57   |  -1.77   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.32 |   0.14   |  -2.29   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.02  |   0.04   |   0.56   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.02  |   0.25   |   0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.02  |   0.04   |   0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.24   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.06  |   0.02   |   3.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.06  |   0.02   |   3.48   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.59 |   0.14   |  -4.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.03  |   0.03   |   1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.45  |   0.15   |   2.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.06  |   0.20   |   0.31   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.03   |   0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.30 |   0.19   |  -6.76   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | -0.04 |   0.12   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.33 |   0.10   |  -3.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.50  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.02 |   0.00   |  -43.93  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.04  |   0.00   |  23.81   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.02 |   0.01   |  -2.54   | 0.01*      |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.01 |   0.00   |  -3.33   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.04 |   0.00   |  -17.48  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.54 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.01  |   0.00   |   7.45   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    | arcsinh | 0.19  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| DOUBLE (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    | no      | 0.60  |   0.06   |   9.52   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT: hetro group 0  | no      | 0.06  |   0.04   |   1.68   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE: hetro group 0    |         | -0.06 |   0.05   |  -1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    |         | -0.20 |   0.03   |  -7.64   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -758.2680954230284
--------------------------------------------------------------------------------
bic: 1674.45
--------------------------------------------------------------------------------
MSE: 4877.91
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.07 |   0.40   |  -0.17   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.29 |   0.08   |  -3.59   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.55 |   0.29   |  -1.88   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.41  |   0.07   |   6.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.01   |   2.24   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.02   |   2.39   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.31 |   0.07   |  -4.44   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.18  |   0.05   |   3.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.01   |   0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.04   |  -1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.12 |   0.17   |  -0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.03  |   0.02   |   1.46   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.06  |   0.06   |   0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.10  |   0.02   |   5.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.47  |   0.23   |   2.00   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.17 |   0.34   |  -3.48   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.15  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.02 |   0.00   |  -41.30  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.09  |   0.00   |  34.77   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.05 |   0.00   |  -48.02  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.63 |   0.01   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.01  |   0.00   |  14.71   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.47 |   0.01   |  -42.07  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.52  |   0.01   |  50.00   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   | no      | 0.57  |   0.01   |  50.00   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| PEAKHR (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIGRADE: hetro    | no      | 0.04  |   0.05   |   0.81   | 0.42       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 |         | 0.03  |   0.04   |   0.73   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIGRADE: hetro    |         | -0.17 |   0.03   |  -5.63   | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -743.0352838367189
--------------------------------------------------------------------------------
bic: 1651.38
--------------------------------------------------------------------------------
MSE: 315.11
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.34 |   2.63   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.99  |   0.10   |  10.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.07 |   0.68   |  -0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.03 |   0.19   |  -0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.06 |   0.21   |  -0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.31 |   0.26   |  -1.21   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.24 |   0.24   |  -0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.55 |   0.76   |  -0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.52  |   0.23   |   2.23   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.27 |   0.26   |  -1.06   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.00 |   0.02   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.00 |   0.04   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.00 |   0.02   |  -0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.64 |   0.25   |  -2.59   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.22  |   0.08   |   2.73   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.01   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.07 |   0.04   |  -1.89   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.08  |   0.03   |   3.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.04 |   0.00   |  -11.09  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.16 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.72  |   0.01   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.01 |   0.00   |  -10.63  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.00  |   0.00   |   1.28   | 0.20       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.05  |   0.00   |  17.08   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.19  |   0.00   |  44.50   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.01  |   0.00   |   4.60   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.02  |   0.00   |  10.47   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.16  |   0.02   |   9.96   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.01 |   0.00   |  -4.62   | 0.00***    |
| Dev. uniform) . FC      |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -755.3627854579577
--------------------------------------------------------------------------------
bic: 1644.67
--------------------------------------------------------------------------------
MSE: 433.05
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.33 |   0.20   |  -1.63   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.00 |   0.55   |  -1.82   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.01 |   0.07   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.03  |   0.04   |   0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.04 |   0.07   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.31   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.64 |   0.63   |  -1.03   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.10  |   0.05   |   1.86   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.01   |   0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.33  |   0.08   |  16.25   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.48 |   0.18   |  -2.71   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.15  |   0.02   |   7.30   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.74 |   0.12   |  -5.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.03 |   0.02   |  -1.40   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.17  |   0.20   |   0.89   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.30  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.04  |   0.00   |  21.32   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.01  |   0.00   |  11.69   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | 1.62  |   0.01   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.00  |   0.00   |   0.85   | 0.40       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      | no      | 0.04  |   0.00   |  29.75   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   | no      | -0.46 |   0.17   |  -2.79   | 0.01*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 |         | -0.01 |   0.04   |  -0.29   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   |         | -0.22 |   0.02   |  -10.61  | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -793.9584551807447
--------------------------------------------------------------------------------
bic: 1731.65
--------------------------------------------------------------------------------
MSE: 4871.56
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.35 |   0.85   |  -0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.01  |   0.19   |   0.07   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.06 |   0.03   |  -2.31   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.97 |   0.44   |  -2.20   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.05   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.10  |   0.03   |   3.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.23  |   0.09   |   2.59   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.03 |   0.02   |  -1.50   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.04 |   0.15   |  -0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.00  |   0.10   |   0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.02   |   0.22   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | 0.06  |   0.18   |   0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.29  |   0.11   |   2.60   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.12  |   0.03   |   3.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.67  |   0.08   |   8.37   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.90 |   0.40   |  -2.28   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.60 |   0.19   |  -3.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   0.89   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.17  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.04  |   0.00   |  22.67   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.03  |   0.00   |  29.92   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.02 |   0.00   |  -8.28   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.06  |   0.00   |  28.38   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.49  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.01  |   0.00   |  21.28   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.06 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) . DECLANES |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -732.4423068897536
--------------------------------------------------------------------------------
bic: 1635.59
--------------------------------------------------------------------------------
MSE: 243.92
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.53 |   0.26   |  -5.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.02 |   0.22   |  -0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.27 |   0.11   |  -2.53   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.52  |   0.15   |   3.56   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.17  |   0.10   |   1.61   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.00 |   0.05   |  -0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.12  |   0.02   |   4.81   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.00  |   0.02   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.01 |   0.02   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.11  |   0.05   |   2.30   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.07  |   0.09   |   0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.73 |   0.22   |  -3.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.06 |   0.01   |  -4.54   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.61 |   0.12   |  -5.22   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.00  |   0.04   |   0.08   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.07  |   0.11   |  10.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.00 |   0.01   |  -0.42   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.50 |   0.11   |  -4.56   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.49  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.00  |   0.00   |   3.29   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | 0.92  |   0.01   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | 0.02  |   0.00   |  16.39   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.77 |   0.01   |  -50.00  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.00 |   0.00   |  -4.20   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.03 |   0.00   |  -43.32  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.05  |   0.00   |  25.85   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.20  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . LENGTH   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   | arcsinh | 0.02  |   0.00   |  30.48   | 0.00***    |
| Dev. normal) . GRADEBR  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXGRDIFF: hetro   | no      | 0.11  |   0.09   |   1.25   | 0.21       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 |         | 0.03  |   0.04   |   0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXGRDIFF: hetro   |         | -0.38 |   0.06   |  -5.87   | 0.00***    |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -768.8461471546427
--------------------------------------------------------------------------------
bic: 1692.71
--------------------------------------------------------------------------------
MSE: 265.65
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.08  |   0.87   |   0.09   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.25 |   0.18   |  -1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.20  |   0.21   |   0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.81 |   0.31   |  -2.57   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.03  |   0.05   |   0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.08 |   0.10   |  -0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.49 |   0.12   |  -4.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.05  |   0.06   |   0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.41  |   0.06   |   6.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.16  |   0.10   |   1.54   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.29 |   0.37   |  -0.79   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.00 |   0.08   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.06  |   0.02   |   2.72   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.38 |   0.18   |  -2.15   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.08  |   0.04   |   2.17   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.02 |   0.01   |  -1.53   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.71  |   0.01   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.04  |   0.00   |  13.55   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.01 |   0.00   |  -21.98  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.26  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.02 |   0.00   |  -9.63   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    | arcsinh | 0.01  |   0.00   |   3.77   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | arcsinh | 0.44  |   0.24   |   1.84   | 0.07.      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR: hetro group 0  |         | 0.50  |   0.08   |   6.46   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | -0.47 |   0.12   |  -3.88   | 0.00***    |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -747.9146222759131
--------------------------------------------------------------------------------
bic: 1654.24
--------------------------------------------------------------------------------
MSE: 281.24
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.33 |   0.54   |  -0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.18 |   0.22   |  -0.80   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.06 |   0.10   |  -0.58   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.66   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.45 |   0.11   |  -3.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.35  |   0.08   |   4.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.13 |   0.06   |  -2.18   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.84  |   0.12   |   7.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.02   |   3.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.02  |   0.02   |   1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.02  |   0.03   |   0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.00  |   0.02   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.00 |   0.04   |  -0.03   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.18 |   0.15   |  -7.73   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.23  |   0.07   |   3.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.50 |   0.23   |  -2.15   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.08 |   0.18   |  -0.42   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.02  |   0.00   |   4.71   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.15  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.00  |   0.00   |   5.77   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.01 |   0.00   |  -2.34   | 0.02*      |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.01  |   0.00   |  11.20   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.02  |   0.00   |  26.52   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.12  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.04 |   0.00   |  -18.97  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.37  |   0.01   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.17  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.28 |   0.01   |  -24.75  | 0.00***    |
| Dev. normal) . INCLANES |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -742.5936710317026
--------------------------------------------------------------------------------
bic: 1650.00
--------------------------------------------------------------------------------
MSE: 278.13
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.43 |   1.02   |  -0.42   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.60  |   0.14   |   4.44   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.24 |   0.22   |  -1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.12 |   0.07   |  -1.59   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.03  |   0.03   |   1.21   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.06 |   0.07   |  -0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.71   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.19 |   0.16   |  -1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.28  |   0.10   |   2.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 1.08  |   0.08   |  14.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.46 |   0.27   |  -1.71   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.30 |   0.10   |  -2.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.33  |   0.23   |   1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.05 |   0.08   |  -0.65   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.23 |   0.10   |  -2.20   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.88 |   0.15   |  -5.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.03  |   0.08   |   0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.16 |   0.30   |  -3.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.01  |   0.00   |   6.05   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | -0.02 |   0.00   |  -24.43  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | -0.83 |   0.01   |  -50.00  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.02 |   0.00   |  -13.58  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.03 |   0.00   |  -14.12  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.81  |   0.01   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.05  |   0.00   |  12.21   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.06  |   0.00   |  29.07   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.04 |   0.01   |  -3.82   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.45 |   0.00   |  -50.00  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.05 |   0.00   |  -50.00  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| MIGRADE (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -760.7477548330181
--------------------------------------------------------------------------------
bic: 1712.77
--------------------------------------------------------------------------------
MSE: 426.19
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.49 |   0.25   |  -1.92   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.17  |   0.01   |  12.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.89 |   0.14   |  -6.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.05  |   0.04   |   1.21   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.03  |   0.06   |   0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.04  |   0.04   |   0.89   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.04  |   0.04   |   1.21   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.27  |   0.10   |   2.64   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.14 |   0.18   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.10  |   0.20   |   0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.13 |   0.10   |  -1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.35 |   0.16   |  -2.25   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.12 |   0.22   |  -0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   2.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.36   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.31  |   0.05   |   6.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.11 |   0.06   |  -1.88   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.04   |  -0.62   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.28  |   0.08   |   3.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.48 |   0.06   |  -7.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.00  |   0.00   |   1.46   | 0.15       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.03 |   0.00   |  -24.10  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.04  |   0.00   |   9.70   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.16 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.01  |   0.00   |   4.76   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.03 |   0.00   |  -22.25  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.05  |   0.00   |  48.57   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.04 |   0.00   |  -18.84  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.01  |   0.00   |   2.57   | 0.01*      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | -0.20 |   0.00   |  -39.32  | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.13 |   0.00   |  -29.90  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | 0.15  |   0.01   |  13.51   | 0.00***    |
| Dev. normal) . FC (Std. |         |       |          |          |            |
| Dev.   triangular )     |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.09  |   0.00   |  28.94   | 0.00***    |
| Dev. triangular) . FC   |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| MXGRDIFF (Std. Dev.     |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -776.4148453295417
--------------------------------------------------------------------------------
bic: 1734.82
--------------------------------------------------------------------------------
MSE: 5058.87
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.56 |   0.49   |  -1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.04 |   0.03   |  -1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.62  |   0.12   |   5.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.53 |   0.16   |  -9.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | 0.27  |   0.14   |   1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.23 |   0.18   |  -1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.04   |  -0.17   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.15  |   0.08   |   1.97   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.00 |   0.08   |  -0.06   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.32  |   0.07   |   4.77   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.01 |   0.03   |  -0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.31 |   0.14   |  -2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.01 |   0.01   |  -1.20   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | -0.03 |   0.05   |  -0.49   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.60 |   0.23   |  -2.56   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.40 |   0.10   |  -4.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.03  |   0.04   |   0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.04  |   0.04   |   1.03   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.35   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.22 |   0.21   |  -1.06   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.03   |   0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.09  |   0.01   |   9.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.33  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | -0.87 |   0.00   |  -50.00  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | 0.06  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.06 |   0.00   |  -36.63  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -2.25   | 0.03*      |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.43  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.01  |   0.00   |  14.64   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.06 |   0.00   |  -44.16  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.01  |   0.00   |   9.82   | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.02 |   0.00   |  -29.08  | 0.00***    |
| Dev. uniform) . PEAKHR  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -734.9708593432158
--------------------------------------------------------------------------------
bic: 1647.54
--------------------------------------------------------------------------------
MSE: 236.48
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.28 |   0.92   |  -0.31   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.96  |   0.08   |  11.46   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.14 |   0.17   |  -0.80   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.09 |   0.03   |  -2.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.03 |   0.03   |  -1.07   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.04 |   0.32   |  -3.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.10  |   0.05   |   2.19   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.05  |   0.03   |   1.67   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.39 |   0.20   |  -1.99   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.65  |   0.16   |   4.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.38 |   0.12   |  -3.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.05   |  -0.31   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.21  |   0.17   |   1.29   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.28 |   0.10   |  -2.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.02 |   0.02   |  -1.47   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.02  |   0.07   |   0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.42 |   0.01   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.05  |   0.00   |  12.66   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.71  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | -0.00 |   0.00   |  -5.30   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.04  |   0.00   |  10.09   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.00  |   0.00   |   1.61   | 0.11       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.00 |   0.00   |  -26.86  | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.01  |   0.00   |   3.24   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     | log     | 0.05  |   0.00   |  12.73   | 0.00***    |
| Dev. lm_normal) . SPEED |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      | log     | -0.32 |   0.31   |  -1.02   | 0.31       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE: hetro group 0   | arcsinh | -0.06 |   0.20   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   | no      | 0.01  |   0.02   |   0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIGRADE: hetro    | no      | -0.01 |   0.04   |  -0.24   | 0.81       |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW: hetro group 1  |         | 0.00  |   0.02   |   0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      |         | 0.04  |   0.01   |   2.81   | 0.01*      |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIGRADE: hetro    |         | 0.05  |   0.05   |   0.92   | 0.36       |
| group 1:triangular:sd   |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.5726075835287
--------------------------------------------------------------------------------
bic: 1691.42
--------------------------------------------------------------------------------
MSE: 213.07
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.34 |   0.63   |  -0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.04  |   0.17   |   6.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.00 |   0.01   |  -0.34   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.52  |   0.21   |   2.51   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.03 |   0.33   |  -0.09   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.00 |   0.26   |  -0.00   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.18  |   0.22   |   0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.05   |  -0.34   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.03   |  -0.46   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.03   |   0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.01  |   0.29   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.03 |   0.06   |  -0.53   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.08   |   1.06   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.34 |   0.25   |  -1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.34 |   0.38   |  -0.89   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.27 |   0.20   |  -1.36   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.04 |   0.08   |  -0.56   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.03 |   0.12   |  -0.21   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.13 |   0.12   |  -1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.02   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.05   |  -0.95   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.06 |   0.03   |  -2.11   | 0.04*      |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.00  |   0.00   |   0.63   | 0.53       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | -0.42 |   0.02   |  -26.61  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.00 |   0.01   |  -0.18   | 0.86       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.00  |   0.00   |   0.73   | 0.46       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | 0.01  |   0.01   |   1.04   | 0.30       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.00 |   0.00   |  -2.35   | 0.02*      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -0.34   | 0.73       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | -0.00 |   0.01   |  -0.07   | 0.95       |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    | arcsinh | 0.09  |   0.10   |   0.89   | 0.37       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 | arcsinh | -1.19 |   0.51   |  -2.33   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    |         | 0.02  |   0.15   |   0.12   | 0.91       |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.52  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -745.2110898482164
--------------------------------------------------------------------------------
bic: 1670.52
--------------------------------------------------------------------------------
MSE: 235.36
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.17 |   0.35   |  -0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.03  |   0.05   |   0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.07 |   0.05   |  -1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.17 |   0.22   |  -0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.07 |   0.13   |  -0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.24 |   0.09   |  -2.50   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.14  |   0.09   |   1.59   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.27  |   0.09   |   2.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.19  |   0.12   |   1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.71 |   0.22   |  -3.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.17 |   0.14   |  -1.28   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.03   |   0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.21 |   0.18   |  -1.19   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.38 |   0.17   |  -2.20   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.00  |   0.13   |   7.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.00 |   0.06   |  -0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.03 |   0.01   |  -3.39   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | -0.20 |   0.01   |  -14.83  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.00 |   0.00   |  -0.94   | 0.35       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.00  |   0.00   |   1.18   | 0.24       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.02 |   0.01   |  -2.01   | 0.05.      |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.00  |   0.00   |   1.32   | 0.19       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | 0.14  |   0.01   |  17.47   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.00  |   0.00   |   0.36   | 0.72       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.08 |   0.00   |  -21.94  | 0.00***    |
| Dev. normal) . LENGTH   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   | no      | -0.25 |   0.11   |  -2.43   | 0.02*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR: hetro group 0   | no      | 0.01  |   0.03   |   0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT: hetro group 0  | no      | 0.02  |   0.04   |   0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW: hetro group 0  | no      | -0.01 |   0.02   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   |         | 0.00  |   0.01   |   0.18   | 0.86       |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.37  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -745.4117174921656
--------------------------------------------------------------------------------
bic: 1669.92
--------------------------------------------------------------------------------
MSE: 904.73
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.66 |   0.61   |  -1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.08  |   0.15   |   7.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.56  |   0.21   |   2.69   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.08 |   0.04   |  -2.05   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.26  |   0.24   |   1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.10  |   0.10   |   0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.06   |  -0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.05 |   0.11   |  -0.52   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.11 |   0.12   |  -0.93   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.03   |   0.79   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.07  |   0.19   |   0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.40 |   0.17   |  -2.29   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.10  |   0.08   |   1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.13  |   0.16   |   0.80   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.09 |   0.05   |  -1.99   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.20 |   0.19   |  -1.06   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.03 |   0.06   |  -0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.26 |   0.13   |  -1.97   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -1.02 |   0.30   |  -3.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | -0.04 |   0.21   |  -0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.00 |   0.00   |  -1.25   | 0.21       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.24  |   0.02   |  14.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.00  |   0.00   |   0.03   | 0.98       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.00 |   0.00   |  -0.44   | 0.66       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.32 |   0.02   |  -20.66  | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.00 |   0.01   |  -0.01   | 0.99       |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.00  |   0.01   |   0.70   | 0.49       |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.38  |   0.02   |  20.51   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| WIDTH (Std. Dev.        |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.01  |   0.00   |   4.42   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| WIDTH (Std. Dev.        |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.00 |   0.01   |  -0.58   | 0.56       |
| Dev. triangular) .      |         |       |          |          |            |
| PEAKHR (Std. Dev.       |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.47  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -758.8973966805552
--------------------------------------------------------------------------------
bic: 1688.00
--------------------------------------------------------------------------------
MSE: 642.85
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.09 |   0.49   |  -2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.06  |   0.16   |   0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.02   |   3.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.26 |   0.10   |  -2.68   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.03 |   0.05   |  -0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.37  |   0.15   |   2.47   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.07  |   0.01   |   7.51   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.00  |   0.05   |   0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.20  |   0.07   |   2.73   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.26  |   0.08   |   3.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.00  |   0.02   |   0.08   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.51 |   0.17   |  -2.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.02  |   0.05   |   0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.50  |   0.05   |   9.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.07  |   0.09   |   0.75   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.13 |   0.05   |  -2.34   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.03  |   0.04   |   0.80   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.02 |   0.07   |  -0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.08  |   0.02   |   3.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.06 |   0.16   |  -0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.99 |   0.19   |  -5.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.50 |   0.07   |  -7.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.07  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.01  |   0.00   |   5.20   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.02 |   0.00   |  -4.91   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | -0.59 |   0.01   |  -50.00  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.61 |   0.01   |  -50.00  | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.03 |   0.02   |  -1.12   | 0.27       |
| tn_normal) . INCLANES   |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.18  |   0.01   |  19.73   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.33  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| WIDTH (Std. Dev.        |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -745.8348813070463
--------------------------------------------------------------------------------
bic: 1661.37
--------------------------------------------------------------------------------
MSE: 261.40
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.86 |   0.17   |  -5.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.15  |   0.06   |  19.37   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.31 |   0.32   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.11 |   0.07   |  -1.73   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.23 |   0.09   |  -2.55   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.15 |   0.04   |  -4.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.10 |   0.14   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.04   |   0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.94 |   0.12   |  -15.96  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.12  |   0.05   |   2.37   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.06 |   0.06   |  -0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.04  |   0.02   |   1.87   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | -0.03 |   0.07   |  -0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.13  |   0.07   |   1.82   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.11 |   0.08   |  -1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.04  |   0.08   |   0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.01 |   0.25   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.01 |   0.09   |  -0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.25  |   0.05   |   4.68   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.02  |   0.00   |  27.95   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.20  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.03 |   0.00   |  -8.33   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.01  |   0.00   |   3.38   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.26  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.48  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.02 |   0.00   |  -4.74   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.08 |   0.01   |  -7.96   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.28 |   0.01   |  -50.00  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.66 |   0.01   |  -50.00  | 0.00***    |
| triangular) . INCLANES  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | 0.10  |   0.01   |  12.75   | 0.00***    |
| triangular) . TANGENT   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -739.7070638580207
--------------------------------------------------------------------------------
bic: 1643.22
--------------------------------------------------------------------------------
MSE: 299.57
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.37 |   0.73   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.07  |   0.07   |  14.42   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.75 |   0.25   |  -2.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.70  |   0.14   |   5.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.87 |   0.28   |  -3.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.01  |   0.03   |   0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.01  |   0.01   |   0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.00  |   0.07   |   0.01   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.04   |   1.93   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.47 |   0.14   |  -3.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.35 |   0.08   |  -4.59   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.01 |   0.10   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   0.78   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.18 |   0.12   |  -1.45   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.02 |   0.01   |  -2.77   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.05  |   0.02   |   1.87   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | 0.03  |   0.05   |   0.65   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.12 |   0.03   |  -4.46   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.03 |   0.17   |  -0.17   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.30  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -1.44 |   0.01   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.01  |   0.00   |   2.44   | 0.02*      |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.01 |   0.00   |  -27.68  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.10 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.00  |   0.00   |   3.52   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.01  |   0.00   |   3.33   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.04 |   0.00   |  -16.36  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.51  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 0.21  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | -0.76 |   0.01   |  -50.00  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -745.2409702032595
--------------------------------------------------------------------------------
bic: 1674.97
--------------------------------------------------------------------------------
MSE: 314.83
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.32 |   0.42   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.92  |   0.14   |   6.49   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.22 |   0.16   |  -1.33   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.53 |   0.30   |  -1.78   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.00 |   0.02   |  -0.07   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.14  |   0.11   |   1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.07 |   0.25   |  -0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.00  |   0.05   |   0.03   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.12  |   0.12   |   1.01   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.18 |   0.26   |  -0.68   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.02 |   0.30   |  -0.08   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.43  |   0.36   |   1.19   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.26 |   0.14   |  -1.79   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.15  |   0.09   |   1.70   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.25  |   0.10   |   2.53   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.66 |   0.33   |  -2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.08  |   0.04   |   1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.34 |   0.17   |  -1.98   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.00  |   0.01   |   0.23   | 0.82       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.00 |   0.00   |  -1.06   | 0.29       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.00 |   0.00   |  -0.10   | 0.92       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.00 |   0.00   |  -1.14   | 0.26       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.00  |   0.00   |   0.73   | 0.46       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.00  |   0.01   |   0.24   | 0.81       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.13 |   0.01   |  -25.69  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.08 |   0.04   |  -1.92   | 0.06.      |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.01  |   0.01   |   1.53   | 0.13       |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.00  |   0.00   |   1.27   | 0.21       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.01  |   0.01   |   2.12   | 0.04*      |
| Dev. triangular) .      |         |       |          |          |            |
| SPEED (Std. Dev.        |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.05  |   0.03   |   1.95   | 0.05.      |
| Dev. lm_normal) . SPEED |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.00  |   0.00   |   1.83   | 0.07.      |
| Dev. lm_normal) .       |         |       |          |          |            |
| MXGRADE (Std. Dev.      |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.27  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -749.516786374952
--------------------------------------------------------------------------------
bic: 1675.13
--------------------------------------------------------------------------------
MSE: 311.70
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.54 |   0.89   |  -0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.87  |   0.12   |   7.17   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.29 |   0.12   |  -2.53   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.02   |   3.67   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.20 |   0.10   |  -1.89   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.03  |   0.04   |   0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.35 |   0.21   |  -1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.15  |   0.20   |   0.79   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.04   |   0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.37  |   0.10   |   3.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.15 |   0.14   |  -1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.03 |   0.02   |  -1.82   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.37  |   0.22   |   1.71   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.30  |   0.16   |   1.91   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.10  |   0.07   |   1.35   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.02   |  -0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.52 |   0.10   |  -5.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.27  |   0.07   |   3.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.94 |   0.31   |  -3.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.28  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.00  |   0.00   |  18.78   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.00 |   0.00   |  -0.91   | 0.36       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.01  |   0.00   |   4.06   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.03  |   0.00   |  17.21   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.00   |  -1.70   | 0.09.      |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.18 |   0.00   |  -37.72  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.25  |   0.00   |  50.00   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.01 |   0.00   |  -5.30   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.02 |   0.00   |  -5.97   | 0.00***    |
| Dev. normal) . WIDTH    |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -781.1674453777104
--------------------------------------------------------------------------------
bic: 1717.36
--------------------------------------------------------------------------------
MSE: 244.73
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.21  |   0.92   |   0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.33 |   0.10   |  -3.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.04  |   0.03   |   1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.82 |   0.37   |  -2.26   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.03  |   0.04   |   0.82   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.03 |   0.05   |  -0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.57  |   0.06   |   8.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.01 |   0.02   |  -0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.01 |   0.01   |  -0.75   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.04  |   0.02   |   1.56   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.07 |   0.06   |  -1.22   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.02 |   0.10   |  -0.22   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | -0.04 |   0.25   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   3.39   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.02  |   0.04   |   0.37   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.05  |   0.06   |   0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.51  |   0.06   |   8.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.11  |   0.04   |   3.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.56 |   0.10   |  -5.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | -0.33 |   0.01   |  -43.64  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.06 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.05 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.03 |   0.00   |  -31.47  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.15 |   0.01   |  -27.53  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.03 |   0.00   |  -6.58   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.08 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.00 |   0.00   |  -6.37   | 0.00***    |
| Dev. normal) . TANGENT  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -752.3535790525267
--------------------------------------------------------------------------------
bic: 1669.52
--------------------------------------------------------------------------------
MSE: 252.04
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.36 |   0.32   |  -1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.19 |   0.19   |  -0.99   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.09 |   0.23   |  -0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.31 |   0.09   |  -3.30   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.29  |   0.07   |   4.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.00  |   0.03   |   0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.16  |   0.06   |   2.58   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.22 |   0.13   |  -1.65   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.45 |   0.08   |  -5.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.41  |   0.05   |   7.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.06  |   0.02   |   2.69   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.85 |   0.21   |  -4.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.09  |   0.07   |   1.33   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.10  |   0.01   |   6.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.46  |   0.06   |   7.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.17  |   0.06   |   2.71   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.04  |   0.05   |   0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.02 |   0.01   |  -2.47   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.98 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.07 |   0.00   |  -49.62  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.14 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.02 |   0.00   |  -7.16   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.13 |   0.00   |  -43.21  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.04  |   0.00   |  13.05   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   | arcsinh | -0.00 |   0.00   |  -43.90  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SPEED: hetro      | no      | -0.41 |   0.16   |  -2.48   | 0.01*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE: hetro group 0   | arcsinh | -0.07 |   0.03   |  -2.58   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE: hetro group 0  |         | 0.14  |   0.02   |   6.67   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: SPEED: hetro      |         | 0.06  |   0.01   |  11.72   | 0.00***    |
| group 0:tn_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -755.1453442734434
--------------------------------------------------------------------------------
bic: 1686.49
--------------------------------------------------------------------------------
MSE: 413.99
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.01 |   0.57   |  -1.77   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.14  |   0.05   |   2.73   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.14 |   0.19   |  -0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.04   |   1.61   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.14 |   0.27   |  -0.52   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.24  |   0.16   |   1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.10  |   0.13   |   0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.04   |  -0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.28 |   0.24   |  -1.17   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.60 |   0.14   |  -4.39   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.25 |   0.29   |  -0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.00 |   0.01   |  -0.03   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.28 |   0.18   |  -1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.10 |   0.05   |  -1.86   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.04   |   1.62   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.10   |   0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.24 |   0.13   |  -1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.33  |   0.10   |   3.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.00  |   0.00   |   0.07   | 0.95       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.00  |   0.00   |   0.52   | 0.61       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.00 |   0.01   |  -0.02   | 0.99       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | -0.00 |   0.00   |  -0.28   | 0.78       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -0.05   | 0.96       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.00 |   0.00   |  -0.54   | 0.59       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.00 |   0.01   |  -0.36   | 0.72       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.00 |   0.00   |  -0.96   | 0.34       |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.01  |   0.02   |   0.89   | 0.38       |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.01  |   0.02   |   0.58   | 0.56       |
| Dev. triangular) .      |         |       |          |          |            |
| ADTLANE (Std. Dev.      |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 1.93  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -731.6882570220793
--------------------------------------------------------------------------------
bic: 1654.65
--------------------------------------------------------------------------------
MSE: 270.55
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.17 |   0.38   |  -0.46   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.33  |   0.13   |  10.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.67 |   0.31   |  -2.18   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.23 |   0.13   |  -1.75   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.09 |   0.23   |  -0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.09 |   0.12   |  -0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.04 |   0.04   |  -0.87   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.04 |   0.08   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.45 |   0.19   |  -2.41   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.02 |   0.01   |  -2.02   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.14  |   0.06   |   2.12   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.25  |   0.08   |   3.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.34 |   0.14   |  -2.40   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.80 |   0.26   |  -3.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.52  |   0.17   |   3.05   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.24  |   0.20   |   1.20   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.10 |   0.09   |  -1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.29  |   0.11   |   2.75   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   2.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.08  |   0.05   |   1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.25 |   0.10   |  -2.51   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.08  |   0.00   |  34.55   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | -0.02 |   0.00   |  -15.34  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.13 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.04  |   0.00   |  17.33   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.01 |   0.00   |  -2.15   | 0.03*      |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.29  |   0.01   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -5.89   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.04 |   0.00   |  -28.32  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.12 |   0.00   |  -37.07  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.03 |   0.00   |  -36.27  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.03 |   0.00   |  -9.93   | 0.00***    |
| Dev. normal) . MXGRADE  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.03  |   0.00   |  21.46   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| MXGRADE (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| MEDWIDTH (Std. Dev.     |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -775.918086995969
--------------------------------------------------------------------------------
bic: 1710.75
--------------------------------------------------------------------------------
MSE: 403.92
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.95 |   0.47   |  -2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.37 |   0.27   |  -1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.07 |   0.03   |  -2.47   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.15 |   0.11   |  -1.30   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.04   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.10  |   0.01   |   9.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.05  |   0.02   |   2.19   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.38 |   0.13   |  -2.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | -0.07 |   0.07   |  -1.03   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.28 |   0.13   |  -2.14   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.12 |   0.30   |  -0.38   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.02 |   0.05   |  -0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.42  |   0.18   |   2.29   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.19  |   0.08   |   2.33   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.29 |   0.10   |  -2.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.05  |   0.05   |   1.17   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.67  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.20 |   0.01   |  -25.28  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.00 |   0.00   |  -7.44   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.01 |   0.00   |  -4.10   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.03  |   0.00   |  13.23   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.01  |   0.00   |  11.72   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.07  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   | sqrt    | -0.07 |   0.00   |  -33.98  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SPEED: hetro      | no      | -0.17 |   0.18   |  -0.99   | 0.32       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN: hetro group 0    | no      | 0.03  |   0.12   |   0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE: hetro group 0  |         | 0.04  |   0.01   |   2.51   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: SPEED: hetro      |         | -0.06 |   0.01   |  -8.73   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -735.3576137220269
--------------------------------------------------------------------------------
bic: 1655.10
--------------------------------------------------------------------------------
MSE: 270.97
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.10 |   0.49   |  -2.25   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.45 |   0.10   |  -4.75   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.26 |   0.22   |  -1.21   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.22 |   0.19   |  -6.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.22  |   0.06   |   3.76   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.06 |   0.05   |  -1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.09 |   0.16   |  -0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.09  |   0.02   |   4.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.09  |   0.09   |   1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   1.56   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.11  |   0.07   |   1.72   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.04   |   0.22   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.07  |   0.05   |   1.39   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.28  |   0.09   |   2.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.12  |   0.12   |   9.71   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.51 |   0.12   |  -4.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   1.21   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.37 |   0.01   |  -35.62  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.01  |   0.00   |  18.37   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.02 |   0.00   |  -8.39   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.01 |   0.00   |  -19.29  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.07 |   0.00   |  -45.62  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.11  |   0.01   |  15.43   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.07 |   0.00   |  -17.06  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.25  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.48 |   0.01   |  -50.00  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | -0.02 |   0.01   |  -3.72   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.01  |   0.00   |  16.91   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.28  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . LENGTH  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     | log     | 0.00  |   0.00   |   0.49   | 0.63       |
| Dev. tn_normal) .       |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      | no      | -0.53 |   0.20   |  -2.64   | 0.01*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS: hetro group 0   |         | -0.52 |   0.12   |  -4.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      |         | 0.16  |   0.07   |   2.14   | 0.03*      |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -743.4355980747914
--------------------------------------------------------------------------------
bic: 1662.97
--------------------------------------------------------------------------------
MSE: 250.33
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.78 |   0.88   |  -0.89   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.56 |   0.09   |  -5.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.24 |   0.25   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.08  |   0.19   |   0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.06  |   0.09   |   0.73   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.02 |   0.02   |  -1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.02   |   0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.55  |   0.24   |   2.31   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.31 |   0.21   |  -1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.00 |   0.18   |  -0.00   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.04 |   0.06   |  -0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.05   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.05  |   0.04   |   1.09   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.09 |   0.20   |  -0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.58 |   0.18   |  -8.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.23 |   0.20   |  -1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.35  |   0.15   |   9.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   2.38   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.02  |   0.00   |   9.96   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | 0.98  |   0.01   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.01  |   0.00   |   3.13   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.01 |   0.00   |  -4.09   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.16  |   0.01   |  17.17   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.04  |   0.00   |  42.09   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.02 |   0.00   |  -27.18  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.00 |   0.01   |  -0.02   | 0.98       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.02 |   0.00   |  -10.72  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | 0.01  |   0.00   |   1.82   | 0.07.      |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.13  |   0.00   |  38.28   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.02  |   0.00   |  11.16   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -770.3402236731604
--------------------------------------------------------------------------------
bic: 1702.60
--------------------------------------------------------------------------------
MSE: 756.17
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.80 |   1.06   |  -1.70   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.08 |   0.10   |  -0.78   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.14 |   0.18   |  -0.75   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.01  |   0.02   |   0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.23  |   0.15   |   1.50   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.22  |   0.03   |   6.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.26 |   0.37   |  -0.70   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.11 |   0.28   |  -0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | -0.43 |   0.18   |  -2.37   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.06  |   0.04   |   1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.03   |   0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.04 |   0.01   |  -2.46   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.47  |   0.22   |   2.12   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.05  |   0.07   |   0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.44 |   0.11   |  -3.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.00  |   0.01   |   0.59   | 0.55       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.00  |   0.00   |   0.48   | 0.63       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.00 |   0.00   |  -0.18   | 0.86       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.00 |   0.00   |  -0.25   | 0.80       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.00  |   0.00   |   0.09   | 0.93       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.00  |   0.00   |   0.33   | 0.74       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -0.18   | 0.86       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | 0.20  |   0.03   |   5.81   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | -0.06 |   0.02   |  -3.70   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.00  |   0.00   |   1.13   | 0.26       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | -0.06 |   0.00   |  -13.73  | 0.00***    |
| triangular) . MXMEDSH   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.02 |   0.01   |  -2.03   | 0.04*      |
| Dev. tn_normal) .       |         |       |          |          |            |
| MXMEDSH (Std. Dev.      |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.03  |   0.01   |   3.99   | 0.00***    |
| Dev. tn_normal) . FC    |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 1.71  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.9759497100605
--------------------------------------------------------------------------------
bic: 1663.65
--------------------------------------------------------------------------------
MSE: 963.62
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.12 |   0.12   |  -1.07   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.93  |   0.08   |  12.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.34 |   0.08   |  -4.17   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.09 |   0.03   |  -3.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.18 |   0.06   |  -3.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.17  |   0.06   |   2.64   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.04   |  -0.55   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.05 |   0.06   |  -0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.15 |   0.18   |  -6.41   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.37 |   0.05   |  -6.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.37  |   0.08   |   4.79   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.06 |   0.05   |  -1.22   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.42 |   0.11   |  -3.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.14  |   0.02   |   7.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.04 |   0.06   |  -0.64   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.10 |   0.04   |  -2.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.03 |   0.06   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.01  |   0.03   |   0.26   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.16  |   0.05   |   3.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.10 |   0.07   |  -1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.82  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.02 |   0.00   |  -21.01  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.04 |   0.00   |  -38.83  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.03 |   0.01   |  -6.20   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.00  |   0.00   |   2.39   | 0.02*      |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.21  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. | arcsinh | -0.10 |   0.00   |  -50.00  | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | no      | 0.38  |   0.15   |   2.57   | 0.01*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE: hetro group 0    |         | 0.09  |   0.06   |   1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | -0.40 |   0.06   |  -6.31   | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -761.2824580425929
--------------------------------------------------------------------------------
bic: 1687.98
--------------------------------------------------------------------------------
MSE: 269.67
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.59 |   0.58   |  -2.72   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.30 |   0.34   |  -0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.05 |   0.07   |  -0.75   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.04   |   2.03   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.04  |   0.06   |   0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.47   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.09   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.04   |  -0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.03   |   0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.36  |   0.25   |   1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.00 |   0.07   |  -0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.08  |   0.05   |   1.60   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.11 |   0.32   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.32 |   0.18   |  -1.81   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.01  |   0.08   |   0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.08 |   0.10   |  -0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 1.07  |   0.16   |   6.83   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.08 |   0.02   |  -5.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.01 |   0.03   |  -0.27   | 0.79       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.36  |   0.01   |  25.71   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.00 |   0.01   |  -0.10   | 0.92       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.01   |  -0.16   | 0.87       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.02 |   0.04   |  -0.37   | 0.71       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.00  |   0.00   |   1.24   | 0.22       |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.00  |   0.00   |   0.43   | 0.67       |
| triangular) . LENGTH    |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXGRADE: hetro    | arcsinh | 0.05  |   0.05   |   0.99   | 0.32       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  | log     | -0.37 |   0.10   |  -3.67   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXGRADE: hetro    |         | 0.00  |   0.08   |   0.03   | 0.98       |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.05  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -742.8975893485281
--------------------------------------------------------------------------------
bic: 1657.00
--------------------------------------------------------------------------------
MSE: 556.22
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.00 |   0.51   |  -1.96   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.87  |   0.08   |  11.58   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.05 |   0.21   |  -0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.91 |   0.23   |  -4.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.13 |   0.09   |  -1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.15 |   0.11   |  -1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.01   |   1.59   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.00  |   0.04   |   0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.21 |   0.18   |  -1.19   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.01  |   0.04   |   0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.05   |   1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.28  |   0.06   |   4.44   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.06 |   0.23   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.02   |   4.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.15  |   0.07   |   2.11   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.04 |   0.01   |  -4.59   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.24 |   0.10   |  -2.53   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.32 |   0.11   |  -2.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.08 |   0.03   |  -2.23   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.29   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.17  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.03 |   0.00   |  -33.67  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.02 |   0.00   |  -13.15  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.00  |   0.00   |  27.94   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.53  |   0.01   |  50.00   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | -0.01 |   0.00   |  -3.19   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.02 |   0.00   |  -18.69  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.02  |   0.00   |  20.02   | 0.00***    |
| triangular) . URB (Std. |         |       |          |          |            |
| Dev.   tn_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.05 |   0.00   |  -49.60  | 0.00***    |
| Dev. tn_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.03 |   0.00   |  -9.01   | 0.00***    |
| Dev. tn_normal) . FC    |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -747.1056674695158
--------------------------------------------------------------------------------
bic: 1676.81
--------------------------------------------------------------------------------
MSE: 266.46
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.94 |   0.65   |  -1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.15  |   0.24   |   4.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.20 |   0.11   |  -1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.05 |   0.05   |  -1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.46  |   0.21   |   2.20   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.17 |   0.17   |  -0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.06 |   0.36   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.00 |   0.06   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.14 |   0.14   |  -0.95   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.10 |   0.28   |  -0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.02  |   0.06   |   0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.03  |   0.04   |   0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.09 |   0.09   |  -0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.40 |   0.36   |  -1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.03 |   0.30   |  -0.12   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.03 |   0.13   |  -0.22   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.03   |   0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.55 |   0.15   |  -3.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.34 |   0.14   |  -2.43   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.12  |   0.11   |   1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.23  |   0.09   |   2.51   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.00 |   0.00   |  -0.05   | 0.96       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.00  |   0.00   |   0.22   | 0.82       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.00 |   0.01   |  -0.16   | 0.87       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.00 |   0.00   |  -0.60   | 0.55       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -0.17   | 0.87       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.00  |   0.00   |   0.33   | 0.75       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.00 |   0.00   |  -0.03   | 0.98       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.00  |   0.02   |   0.14   | 0.89       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.01 |   0.01   |  -0.83   | 0.41       |
| Dev. uniform) . GRADEBR |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.08  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -744.1406262097167
--------------------------------------------------------------------------------
bic: 1642.80
--------------------------------------------------------------------------------
MSE: 299.80
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.01 |   1.42   |  -0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.13 |   0.18   |  -0.73   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.09 |   0.05   |  -1.78   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.30  |   0.16   |   1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.12  |   0.10   |   1.19   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.05   |  -0.31   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.26   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.23  |   0.07   |   3.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.17  |   0.08   |   2.18   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.19  |   0.14   |   8.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.12 |   0.23   |  -0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.05  |   0.16   |   0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.65 |   0.32   |  -2.02   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.16 |   0.11   |  -1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.07 |   0.08   |  -0.89   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.30 |   0.10   |  -2.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.71  |   0.02   |  43.29   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.21  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.04 |   0.00   |  -10.42  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.02 |   0.00   |  -9.88   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | -0.70 |   0.01   |  -47.76  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.01  |   0.01   |   1.11   | 0.27       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     | no      | 0.06  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MEDWIDTH: hetro   | arcsinh | 0.01  |   0.03   |   0.41   | 0.68       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 |         | -0.91 |   0.45   |  -2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| main: MEDWIDTH: hetro   |         | -0.11 |   0.03   |  -3.28   | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -747.997432402919
--------------------------------------------------------------------------------
bic: 1655.41
--------------------------------------------------------------------------------
MSE: 19706.92
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -3.71 |   0.48   |  -7.68   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.01 |   0.01   |  -2.00   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.10 |   0.03   |  -2.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.41 |   0.21   |  -1.95   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.25  |   0.12   |   2.14   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.01 |   0.01   |  -0.42   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.05   |   0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.03 |   0.09   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.03 |   0.03   |  -0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.05 |   0.01   |  -5.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.23  |   0.07   |   3.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.17  |   0.09   |   1.79   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.17   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.81 |   0.20   |  -4.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.00  |   0.16   |   0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.35 |   0.10   |  -3.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | -0.19 |   0.15   |  -1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.35 |   0.17   |  -2.05   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.17  |   0.06   |   2.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 1.94  |   0.01   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.10 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.01  |   0.00   |   3.06   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.04 |   0.00   |  -31.38  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.20  |   0.00   |  42.25   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       | log     | -0.01 |   0.00   |  -1.72   | 0.09.      |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     | arcsinh | 1.35  |   0.14   |   9.39   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH: hetro group 0  |         | 0.30  |   0.08   |   3.57   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     |         | -0.79 |   0.05   |  -17.26  | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -741.2428394572364
--------------------------------------------------------------------------------
bic: 1631.61
--------------------------------------------------------------------------------
MSE: 260.21
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.55 |   0.81   |  -0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.02  |   0.10   |   9.79   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.14  |   0.07   |   1.84   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.03 |   0.08   |  -0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.30 |   0.15   |  -2.06   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.01  |   0.04   |   0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.31 |   0.09   |  -3.66   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.05   |   3.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.02  |   0.16   |   0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.21 |   0.20   |  -1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.24 |   0.11   |  -2.10   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.01 |   0.01   |  -0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.29 |   0.10   |  -2.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.27  |   0.10   |   2.70   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.07  |   0.05   |   1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.29 |   0.01   |  -42.67  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.15 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.72  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.01 |   0.00   |  -10.26  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.03 |   0.00   |  -20.59  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.26  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    | arcsinh | -0.09 |   0.01   |  -18.09  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      | sqrt    | -0.68 |   0.26   |  -2.61   | 0.01*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE: hetro group 0   | arcsinh | -0.13 |   0.17   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   |         | 0.01  |   0.02   |   0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      |         | 0.04  |   0.03   |   1.22   | 0.22       |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -764.2233059826426
--------------------------------------------------------------------------------
bic: 1681.57
--------------------------------------------------------------------------------
MSE: 1648.05
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.53 |   0.38   |  -1.41   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.14 |   0.17   |  -0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.02 |   0.05   |  -0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.20 |   0.16   |  -1.29   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.13   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.42 |   0.18   |  -2.27   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.04  |   0.06   |   0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.45 |   0.14   |  -10.14  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.07  |   0.09   |   0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.35  |   0.08   |   4.22   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.07 |   0.07   |  -0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.21  |   0.04   |   4.61   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.16 |   0.17   |  -0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.04  |   0.24   |   0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.06  |   0.12   |   0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.03   |   0.91   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.04  |   0.00   |  13.11   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.00  |   0.00   |   0.54   | 0.59       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.00 |   0.01   |  -0.24   | 0.81       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -0.37   | 0.71       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.00   |  -0.16   | 0.88       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.00 |   0.00   |  -0.05   | 0.96       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: FC: hetro group 0 | no      | -0.08 |   0.06   |  -1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE: hetro group 0   | arcsinh | -0.07 |   0.25   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| main: FC: hetro group   |         | -0.02 |   0.04   |  -0.57   | 0.57       |
| 0:uniform:sd  hetro     |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 1.77  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -765.9890097885474
--------------------------------------------------------------------------------
bic: 1673.71
--------------------------------------------------------------------------------
MSE: 514.90
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.25 |   0.69   |  -3.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.25 |   0.19   |  -1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.04   |  -0.67   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.11  |   0.04   |   2.46   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.27  |   0.13   |   2.09   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.41  |   0.06   |   6.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.10  |   0.02   |   4.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | -0.02 |   0.08   |  -0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.35  |   0.06   |   5.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.63 |   0.08   |  -7.66   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.39  |   0.06   |   6.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.02 |   0.09   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.08 |   0.10   |  -0.78   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.49 |   0.17   |  -2.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.08 |   0.20   |  -0.38   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.79 |   0.21   |  -3.76   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.27  |   0.08   |   3.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.16  |   0.00   |  39.18   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | 0.30  |   0.01   |  27.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.04  |   0.00   |  15.46   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.58  |   0.01   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 0.05  |   0.01   |   4.63   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.03  |   0.00   |  15.47   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | -0.58 |   0.01   |  -50.00  | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.28  |   0.01   |  45.96   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | -0.30 |   0.01   |  -21.43  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| SINGLE (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -764.1918475849858
--------------------------------------------------------------------------------
bic: 1709.87
--------------------------------------------------------------------------------
MSE: 808.32
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.05  |   0.26   |   0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.19 |   0.23   |  -0.85   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.08 |   0.32   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.41 |   0.23   |  -1.76   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.01 |   0.03   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.57  |   0.11   |   5.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.08 |   0.04   |  -2.05   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.46  |   0.21   |   2.20   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.03 |   0.05   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.11  |   0.08   |   1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.56 |   0.17   |  -3.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.47 |   0.16   |  -3.04   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.39 |   0.09   |  -4.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.13  |   0.05   |   2.35   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.40  |   0.06   |   6.39   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.17  |   0.02   |   7.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.39 |   0.17   |  -2.23   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.16 |   0.22   |  -0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.10  |   0.03   |   3.68   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.17  |   0.09   |   1.88   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.03   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.46  |   0.21   |   2.26   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.10 |   0.07   |  -1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.04  |   0.00   |  37.05   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.16  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.03  |   0.01   |   5.11   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.01 |   0.00   |  -3.91   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | -0.35 |   0.01   |  -37.81  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.02 |   0.01   |  -3.31   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | 0.95  |   0.01   |  50.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | 0.03  |   0.00   |  16.99   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.70 |   0.01   |  -50.00  | 0.00***    |
| tn_normal) . DOUBLE     |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -748.5423751374339
--------------------------------------------------------------------------------
bic: 1660.89
--------------------------------------------------------------------------------
MSE: 244.28
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.26 |   0.34   |  -0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.27 |   0.09   |  -3.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.10 |   0.11   |  -0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.18 |   0.17   |  -1.05   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.01   |   2.13   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.08  |   0.03   |   2.68   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.37 |   0.11   |  -3.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.16  |   0.06   |   2.77   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.34  |   0.10   |   3.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.10 |   0.19   |  -5.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.04   |  -0.22   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.12  |   0.08   |   1.39   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.17  |   0.08   |   2.06   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.07 |   0.06   |  -1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.12 |   0.20   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.88  |   0.11   |   8.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.21 |   0.12   |  -1.77   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.03  |   0.06   |   0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | -0.00 |   0.00   |  -1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.04  |   0.00   |  25.66   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.02  |   0.00   |  10.41   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.01 |   0.00   |  -3.54   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.23  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.68 |   0.01   |  -50.00  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.09  |   0.00   |  47.62   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.03  |   0.00   |   5.90   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.83  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.01  |   0.01   |   2.46   | 0.01*      |
| Dev. normal) . LENGTH   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.01 |   0.00   |  -2.13   | 0.03*      |
| Dev. normal) . MIMEDSH  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -780.9629720931354
--------------------------------------------------------------------------------
bic: 1707.66
--------------------------------------------------------------------------------
MSE: 209.49
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.24 |   0.22   |  -1.07   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.04 |   0.06   |  -0.65   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.04   |   1.88   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.51  |   0.26   |   2.00   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.33 |   0.23   |  -1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.33 |   0.10   |  -3.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.04  |   0.09   |   0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.41  |   0.10   |   4.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | -0.02 |   0.04   |  -0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.35   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.68 |   0.32   |  -2.15   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.09 |   0.14   |  -0.65   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.00 |   0.03   |  -0.07   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.69 |   0.24   |  -2.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.05   |  -0.25   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.52  |   0.10   |   5.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.00  |   0.00   |   0.13   | 0.90       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.01 |   0.02   |  -0.41   | 0.68       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.00  |   0.00   |   0.33   | 0.74       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.25 |   0.01   |  -41.25  | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | -0.00 |   0.00   |  -0.85   | 0.40       |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.00 |   0.00   |  -0.20   | 0.84       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.00  |   0.01   |   0.23   | 0.81       |
| tn_normal) . WIDTH      |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.45  |   0.01   |  39.88   | 0.00***    |
| Dev. normal) . WIDTH    |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.00  |   0.01   |   0.52   | 0.60       |
| Dev. normal) . FC (Std. |         |       |          |          |            |
| Dev.   tn_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 1.76  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -734.5885299166162
--------------------------------------------------------------------------------
bic: 1633.99
--------------------------------------------------------------------------------
MSE: 629.88
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.89 |   0.31   |  -2.83   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.51 |   0.08   |  -6.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.23  |   0.08   |   2.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.40 |   0.11   |  -3.65   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.06 |   0.11   |  -0.52   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.02  |   0.06   |   0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.18  |   0.08   |   2.24   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.07  |   0.15   |   0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.37 |   0.08   |  -4.46   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.06 |   0.05   |  -1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.30  |   0.10   |  12.58   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.09  |   0.04   |   2.50   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.14 |   0.23   |  -0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.02  |   0.04   |   0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.05  |   0.02   |   2.03   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.00  |   0.02   |   0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.05  |   0.02   |   2.26   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.27 |   0.09   |  -2.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -3.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.02 |   0.01   |  -4.69   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) uniform  |         | 0.08  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.26 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.00  |   0.00   |   0.51   | 0.61       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.03  |   0.00   |  16.55   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | 0.01  |   0.00   |   3.85   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.01  |   0.00   |   7.15   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.68 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.01  |   0.00   |  48.82   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . DOUBLE  |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -740.9194622800447
--------------------------------------------------------------------------------
bic: 1630.97
--------------------------------------------------------------------------------
MSE: 284.98
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.73 |   0.32   |  -2.28   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.39 |   0.10   |  -3.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.04  |   0.05   |   0.91   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.25  |   0.20   |   1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.06  |   0.01   |   4.58   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.00  |   0.02   |   0.03   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.05  |   0.05   |   0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -2.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.27  |   0.07   |   3.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -0.80   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.40 |   0.11   |  -3.67   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.06 |   0.14   |  -7.66   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.07 |   0.04   |  -2.06   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.01  |   0.02   |   0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.24 |   0.20   |  -1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.18  |   0.10   |   1.77   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 1.57  |   0.01   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.05 |   0.00   |  -38.87  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) uniform  |         | 0.02  |   0.00   |  10.49   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | 0.02  |   0.00   |   5.67   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.12 |   0.00   |  -33.61  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      | arcsinh | 0.49  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     | log     | 0.95  |   0.08   |  12.46   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH: hetro group 0    | no      | -0.46 |   0.07   |  -7.04   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH: hetro group 0  |         | 0.01  |   0.03   |   0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     |         | -0.42 |   0.04   |  -9.77   | 0.00***    |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -732.6230760573576
--------------------------------------------------------------------------------
bic: 1619.77
--------------------------------------------------------------------------------
MSE: 5304.20
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.52 |   0.60   |  -0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.19 |   0.13   |  -1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.20 |   0.15   |  -1.33   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.06 |   0.28   |  -3.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.03  |   0.03   |   1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.23  |   0.10   |  11.83   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.11 |   0.08   |  -1.41   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.02 |   0.02   |  -1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.00  |   0.02   |   0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.05 |   0.12   |  -0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.23 |   0.06   |  -4.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | 0.02  |   0.06   |   0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.10 |   0.00   |  -32.75  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.29  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.00  |   0.00   |   7.51   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.01  |   0.00   |  10.98   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 1.69  |   0.01   |  50.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.04  |   0.00   |  43.58   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.34  |   0.01   |  49.16   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.41 |   0.00   |  -50.00  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.27 |   0.01   |  -18.68  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    | no      | 0.01  |   0.01   |   1.50   | 0.14       |
| Dev. triangular) .      |         |       |          |          |            |
| ADTLANE (Std. Dev.      |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      | no      | -0.07 |   0.04   |  -1.73   | 0.08.      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 0  | arcsinh | -0.01 |   0.05   |  -0.22   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | no      | 0.30  |   0.22   |   1.33   | 0.18       |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 1 |         | 0.02  |   0.04   |   0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      |         | 0.22  |   0.10   |   2.15   | 0.03*      |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | -0.27 |   0.03   |  -8.61   | 0.00***    |
| group 1:normal:sd       |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -757.1036835446174
--------------------------------------------------------------------------------
bic: 1682.02
--------------------------------------------------------------------------------
MSE: 3371.90
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.69 |   0.24   |  -6.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.21  |   0.05   |   4.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.02  |   0.23   |   0.08   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.68 |   0.20   |  -3.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.12  |   0.07   |   1.76   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.14 |   0.34   |  -0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   1.05   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.04   |   1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.07  |   0.04   |   1.98   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.03   |  -0.49   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.32  |   0.08   |   4.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.28 |   0.15   |  -1.96   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.00  |   0.03   |   0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.03   |   1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.01  |   0.05   |   0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.70 |   0.09   |  -8.16   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.04  |   0.08   |   0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.04  |   0.14   |   0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.80 |   0.17   |  -4.65   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.01  |   0.01   |   1.29   | 0.20       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.00 |   0.00   |  -0.83   | 0.41       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.00 |   0.00   |  -0.07   | 0.94       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.00 |   0.00   |  -0.12   | 0.90       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.00  |   0.00   |   0.51   | 0.61       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.00 |   0.01   |  -0.05   | 0.96       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | 0.81  |   0.01   |  50.00   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.01 |   0.00   |  -3.47   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.71 |   0.01   |  -50.00  | 0.00***    |
| Dev. lm_normal) . TRAIN |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 3.15  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -762.4337923081266
--------------------------------------------------------------------------------
bic: 1710.25
--------------------------------------------------------------------------------
MSE: 239.03
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.62 |   0.34   |  -1.84   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.00 |   0.02   |  -0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | -0.02 |   0.08   |  -0.30   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.03   |   0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.43 |   0.09   |  -4.76   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.12  |   0.05   |   2.28   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.45  |   0.05   |   8.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.22  |   0.11   |   2.08   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.49 |   0.16   |  -2.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.17 |   0.17   |  -1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.50  |   0.16   |   3.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.00 |   0.04   |  -0.00   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.06 |   0.19   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.43  |   0.06   |   6.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.24  |   0.07   |   3.63   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.06  |   0.01   |   4.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.33 |   0.16   |  -1.99   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.75   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.03 |   0.05   |  -0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.85 |   0.01   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.22 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.16 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | -0.04 |   0.00   |  -43.60  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.26 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.06 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | 0.18  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.01 |   0.00   |  -15.82  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.02  |   0.00   |  11.92   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.04  |   0.00   |  23.17   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    | arcsinh | -0.23 |   0.00   |  -50.00  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXGRADE: hetro    | arcsinh | 0.07  |   0.02   |   3.54   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   | log     | 0.02  |   0.02   |   1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  |         | -0.60 |   0.09   |  -6.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXGRADE: hetro    |         | 0.03  |   0.01   |   4.23   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.5131376671575
--------------------------------------------------------------------------------
bic: 1646.55
--------------------------------------------------------------------------------
MSE: 850.44
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.01 |   0.95   |  -2.12   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 1.10  |   0.12   |   9.33   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.61 |   0.20   |  -3.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.11 |   0.09   |  -1.29   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.05  |   0.05   |   1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.52 |   0.20   |  -2.63   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.18  |   0.13   |   1.36   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.15  |   0.09   |   1.62   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.07 |   0.14   |  -0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.65 |   0.07   |  -9.37   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.54  |   0.12   |   4.59   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.09 |   0.20   |  -0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.06 |   0.11   |  -0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.01 |   0.01   |  -1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.05  |   0.04   |   1.07   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.10 |   0.07   |  -1.36   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.20  |   0.06   |   3.37   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.05   |   2.18   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.96  |   0.01   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.54 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.01 |   0.00   |  -9.73   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.39  |   0.01   |  46.33   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.06 |   0.00   |  -30.35  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.29 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. | sqrt    | 0.16  |   0.00   |  50.00   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DOUBLE: hetro     | no      | -0.25 |   0.12   |  -2.10   | 0.04*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 |         | 0.06  |   0.03   |   1.97   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| main: DOUBLE: hetro     |         | -0.38 |   0.08   |  -4.92   | 0.00***    |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -759.6920444513217
--------------------------------------------------------------------------------
bic: 1711.66
--------------------------------------------------------------------------------
MSE: 226.53
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.24 |   0.18   |  -1.30   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.16 |   0.16   |  -1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.04  |   0.03   |   1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.02   |   3.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.30 |   0.09   |  -3.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.09 |   0.04   |  -2.09   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.05 |   0.05   |  -1.05   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   2.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.06  |   0.08   |   0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.07  |   0.02   |   3.60   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   0.67   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.09  |   0.10   |   0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.14 |   0.06   |  -2.50   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.27 |   0.16   |  -1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.67 |   0.68   |  -0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.32  |   0.32   |   1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.43  |   0.08   |   5.54   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.16  |   0.10   |   1.67   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.62 |   0.18   |  -3.41   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.42 |   0.13   |  -3.22   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.22 |   0.21   |  -1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.43  |   0.08   |   5.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.05  |   0.06   |   0.91   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.11 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.07  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.02 |   0.00   |  -13.81  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.01  |   0.00   |  25.32   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.00  |   0.00   |   2.97   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | 0.10  |   0.00   |  23.74   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.12  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.01 |   0.00   |  -11.93  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.15  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.06 |   0.00   |  -12.60  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.02  |   0.00   |   4.44   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -768.456113647548
--------------------------------------------------------------------------------
bic: 1708.22
--------------------------------------------------------------------------------
MSE: 277.18
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.61 |   1.61   |  -1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.16 |   0.49   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.00 |   0.33   |  -0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.13 |   0.19   |  -0.65   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.06   |   1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.22 |   0.17   |  -1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.49  |   0.92   |   0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | -0.14 |   0.24   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.05  |   0.03   |   1.84   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.58 |   0.09   |  -6.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.13  |   0.12   |   1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.34  |   0.10   |   3.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.10 |   0.20   |  -0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.29 |   0.29   |  -1.01   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.09 |   0.14   |  -0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.22  |   0.12   |   1.87   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.00  |   0.07   |   0.03   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.03   |   0.53   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.00  |   0.01   |   0.24   | 0.81       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.00  |   0.01   |   0.30   | 0.76       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.00 |   0.00   |  -0.27   | 0.79       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.00 |   0.01   |  -0.03   | 0.97       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.00 |   0.01   |  -0.20   | 0.84       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.00  |   0.00   |   0.38   | 0.71       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.00 |   0.00   |  -0.10   | 0.92       |
| Dev. tn_normal) .       |         |       |          |          |            |
| MIGRADE (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    | no      | 0.09  |   0.02   |   4.61   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE: hetro group 0   | sqrt    | 0.16  |   0.12   |   1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    |         | -0.00 |   0.06   |  -0.02   | 0.99       |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 1.71  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -759.7890647530762
--------------------------------------------------------------------------------
bic: 1689.28
--------------------------------------------------------------------------------
MSE: 1172.12
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.75 |   0.45   |  -1.66   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.10  |   0.19   |   0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.01 |   0.03   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.23 |   0.11   |  -2.06   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.11 |   0.25   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.01 |   0.06   |  -0.17   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.18  |   0.11   |   1.65   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.30 |   0.22   |  -1.35   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.21 |   0.07   |  -3.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.03  |   0.19   |   0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.03 |   0.05   |  -0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.02 |   0.08   |  -0.22   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.42 |   0.15   |  -2.83   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.51 |   0.15   |  -10.35  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.18  |   0.06   |   3.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.25  |   0.07   |   3.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.23  |   0.13   |   9.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.02  |   0.01   |   1.50   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.05  |   0.00   |  44.08   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.07  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.04 |   0.00   |  -28.59  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.18  |   0.01   |  21.76   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.03  |   0.00   |  19.66   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.26 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.05 |   0.00   |  -25.40  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.04 |   0.00   |  -13.89  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.13  |   0.00   |  30.27   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.31 |   0.01   |  -23.00  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.02  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.07  |   0.00   |  36.70   | 0.00***    |
| Dev. normal) . LENGTH   |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -732.6953028147911
--------------------------------------------------------------------------------
bic: 1648.38
--------------------------------------------------------------------------------
MSE: 251.11
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.20 |   0.70   |  -0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.97  |   0.13   |   7.37   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.20 |   0.24   |  -0.85   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.62  |   0.16   |   4.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.15 |   0.21   |  -0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.13 |   0.11   |  -1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.09 |   0.37   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.06 |   0.20   |  -0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.10  |   0.03   |   3.62   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.15  |   0.09   |   1.66   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.00 |   0.02   |  -0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.23 |   0.61   |  -2.02   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.17  |   0.07   |   2.55   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.22 |   0.29   |  -0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.22 |   0.14   |  -1.63   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.19 |   0.14   |  -1.35   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.05 |   0.06   |  -0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.00 |   0.08   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.44 |   0.09   |  -4.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.05  |   0.04   |   1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.05  |   0.00   |  17.25   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.05 |   0.00   |  -13.27  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -2.25   | 0.03*      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.06 |   0.01   |  -10.47  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.47  |   0.01   |  43.92   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.06 |   0.00   |  -24.30  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.55  |   0.01   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| TANGENT (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.18 |   0.00   |  -50.00  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| TANGENT (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   | no      | -0.12 |   0.01   |  -23.49  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| ACCESS (Std. Dev.       |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      | arcsinh | 0.03  |   0.08   |   0.37   | 0.71       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   |         | 0.01  |   0.03   |   0.38   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      |         | -0.02 |   0.03   |  -0.58   | 0.56       |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -744.8904640913587
--------------------------------------------------------------------------------
bic: 1645.80
--------------------------------------------------------------------------------
MSE: 442.71
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.29 |   0.22   |  -1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.31 |   0.36   |  -0.85   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.23 |   0.14   |  -1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.64  |   0.14   |   4.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.14 |   0.07   |  -2.02   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.04  |   0.02   |   1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.42 |   0.12   |  -3.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.09 |   0.04   |  -2.16   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.02  |   0.09   |  11.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.14 |   0.18   |  -0.75   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.30 |   0.32   |  -0.95   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.38 |   0.08   |  -5.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.02 |   0.06   |  -0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.27 |   0.18   |  -6.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.18  |   0.07   |   2.62   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.02 |   0.03   |  -0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.05 |   0.01   |  -5.54   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.17  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | -0.10 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.67  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | 0.00  |   0.01   |   0.58   | 0.56       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.03  |   0.00   |  24.92   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.38 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   | no      | 0.00  |   0.00   |   0.24   | 0.81       |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIGRADE: hetro    | arcsinh | 0.02  |   0.04   |   0.54   | 0.59       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES: hetro group 0   | no      | -0.05 |   0.07   |  -0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW: hetro group 0  |         | 0.01  |   0.02   |   0.49   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIGRADE: hetro    |         | 0.01  |   0.02   |   0.34   | 0.73       |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -755.5786903006336
--------------------------------------------------------------------------------
bic: 1679.86
--------------------------------------------------------------------------------
MSE: 828.47
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.47 |   0.35   |  -4.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.37  |   0.17   |   2.14   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -1.64 |   0.23   |  -7.05   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.10 |   0.11   |  -0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.05  |   0.04   |   1.07   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.18  |   0.07   |   2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   1.17   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.06  |   0.03   |   2.10   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.02 |   0.01   |  -1.78   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.37  |   0.06   |   6.62   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.04 |   0.14   |  -0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.17 |   0.11   |  -1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.36   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.03  |   0.03   |   1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.33 |   0.14   |  -2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -4.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.07  |   0.01   |   6.79   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.30  |   0.07   |   4.25   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.05  |   0.06   |   0.85   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.12  |   0.00   |  40.03   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.04  |   0.00   |  23.71   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.03  |   0.00   |  27.23   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.02 |   0.00   |  -5.18   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.12  |   0.00   |  32.25   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.00  |   0.00   |   9.69   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.03 |   0.00   |  -17.62  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.00 |   0.01   |  -0.30   | 0.76       |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.04 |   0.00   |  -13.55  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| GRADEBR (Std. Dev.      |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.02 |   0.00   |  -8.03   | 0.00***    |
| triangular) . GRADEBR   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.02 |   0.00   |  -4.43   | 0.00***    |
| triangular) . MXGRDIFF  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -749.1218492177247
--------------------------------------------------------------------------------
bic: 1669.55
--------------------------------------------------------------------------------
MSE: 305.04
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.44 |   0.13   |  -3.37   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.12  |   0.41   |   2.73   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.01 |   0.05   |  -0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.09 |   0.32   |  -0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.07   |  -0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.09  |   0.32   |   0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.00  |   0.09   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.15  |   0.22   |   0.67   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.04   |   0.62   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.10 |   0.39   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.06  |   0.06   |   1.05   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.22 |   0.14   |  -8.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.25 |   0.26   |  -0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.25  |   0.07   |   3.68   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.03   |  -0.31   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.01  |   0.04   |   0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.02  |   0.03   |   0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.12  |   0.22   |   0.56   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.07 |   0.09   |  -0.80   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.12 |   0.14   |  -0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.00  |   0.00   |   0.04   | 0.97       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | 0.00  |   0.00   |   0.13   | 0.90       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | -0.00 |   0.01   |  -0.14   | 0.89       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | 0.00  |   0.00   |   0.15   | 0.88       |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.00  |   0.00   |   0.07   | 0.95       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.00 |   0.01   |  -0.51   | 0.61       |
| Dev. tn_normal) . TRAIN |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   | no      | 0.09  |   0.17   |   0.55   | 0.59       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH: hetro group 0    | sqrt    | -0.20 |   0.09   |  -2.22   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   |         | 0.00  |   0.03   |   0.00   | 1.00       |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.05  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -771.3802942931883
--------------------------------------------------------------------------------
bic: 1733.54
--------------------------------------------------------------------------------
MSE: 223.27
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.33 |   0.42   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.49  |   0.13   |   3.70   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.39 |   0.25   |  -5.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.01   |   1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.03   |   2.18   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.00  |   0.03   |   0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.05  |   0.01   |   3.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.13 |   0.18   |  -0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.37 |   0.13   |  -2.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.23 |   0.12   |  -1.91   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.00 |   0.04   |  -0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.14  |   0.32   |   0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.11 |   0.26   |  -0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.59  |   0.07   |   8.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.06   |   0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.02   |   1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.07  |   0.04   |   2.10   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.26 |   0.09   |  -2.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.07 |   0.08   |  -0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.01  |   0.03   |   0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.07 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.52  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.01  |   0.00   |  12.89   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.02 |   0.00   |  -5.72   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.01 |   0.00   |  -2.68   | 0.01*      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.03 |   0.00   |  -20.33  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.24  |   0.01   |  29.86   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.02  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.01 |   0.00   |  -11.64  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -3.42   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.03  |   0.00   |  26.11   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.00  |   0.00   |   0.53   | 0.60       |
| Dev. normal) . WIDTH    |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -745.9687782452394
--------------------------------------------------------------------------------
bic: 1648.46
--------------------------------------------------------------------------------
MSE: 248.03
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.02 |   0.42   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.19 |   0.21   |  -0.91   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.69 |   0.51   |  -1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.06   |  -0.17   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.04   |   1.73   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.17  |   0.09   |   1.86   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.03   |   0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.39 |   0.21   |  -1.83   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.27  |   0.09   |   3.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.26  |   0.10   |   2.43   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.10 |   0.08   |  -1.19   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.17  |   0.17   |   6.78   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.04  |   0.05   |   0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.21 |   0.11   |  -1.93   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.16 |   0.11   |  -1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.12  |   0.08   |   1.59   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.53  |   0.01   |  41.77   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.48   | 0.63       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.34  |   0.01   |  43.36   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.00  |   0.00   |   0.73   | 0.47       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.00 |   0.00   |  -0.55   | 0.58       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.01  |   0.01   |   1.16   | 0.25       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   | no      | -0.21 |   0.24   |  -0.86   | 0.39       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES: hetro group 0   | arcsinh | -0.06 |   0.08   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 | arcsinh | -0.84 |   0.34   |  -2.50   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   |         | -0.11 |   0.05   |  -2.30   | 0.02*      |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.56  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -747.331297563534
--------------------------------------------------------------------------------
bic: 1675.15
--------------------------------------------------------------------------------
MSE: 6235.02
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.83 |   0.44   |  -4.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.06 |   0.17   |  -0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.14  |   0.03   |   4.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.23  |   0.14   |   1.68   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.16 |   0.10   |  -1.61   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.19 |   0.18   |  -1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.84   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.06  |   0.08   |   0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.13  |   0.07   |   1.81   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.30  |   0.07   |   4.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.35  |   0.06   |   6.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | -0.00 |   0.02   |  -0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.54 |   0.21   |  -2.62   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.42  |   0.06   |   6.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.05   |   0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.03 |   0.03   |  -0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.41 |   0.07   |  -6.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.75   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | -0.02 |   0.09   |  -0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.53 |   0.18   |  -2.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.38 |   0.10   |  -3.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.03  |   0.00   |  24.88   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.03 |   0.00   |  -20.80  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.08 |   0.00   |  -26.04  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.02 |   0.00   |  -18.42  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -1.07 |   0.01   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.17  |   0.02   |   8.73   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.76  |   0.01   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| DOUBLE (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.22  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| DOUBLE (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.06 |   0.00   |  -13.11  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| ACCESS (Std. Dev.       |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -761.624284308154
--------------------------------------------------------------------------------
bic: 1703.24
--------------------------------------------------------------------------------
MSE: 295.63
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.32 |   0.15   |  -2.15   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.34 |   0.08   |  -4.33   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.45 |   0.07   |  -6.67   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.03   |  -0.93   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.04  |   0.02   |   1.82   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.16  |   0.07   |   2.37   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.53 |   0.15   |  -3.57   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.01  |   0.03   |   0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.15  |   0.08   |   1.75   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.12  |   0.11   |   1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -1.28   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.50  |   0.16   |   3.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.16 |   0.13   |  -1.28   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.22  |   0.24   |   0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.03 |   0.06   |  -0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.07  |   0.01   |   6.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.21  |   0.09   |   2.34   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.08 |   0.15   |  -7.04   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.35 |   0.05   |  -6.68   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.41  |   0.05   |   7.76   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.02  |   0.04   |   0.55   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.06  |   0.00   |  48.59   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | -0.21 |   0.00   |  -50.00  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.05 |   0.01   |  -10.25  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.01  |   0.00   |   7.40   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.01 |   0.00   |  -21.58  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.14 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.03  |   0.00   |  33.02   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.05 |   0.01   |  -9.73   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.13 |   0.00   |  -26.69  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -739.586637196742
--------------------------------------------------------------------------------
bic: 1643.48
--------------------------------------------------------------------------------
MSE: 223.35
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.67 |   2.30   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.18 |   0.43   |  -0.42   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.34 |   0.11   |  -2.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.01   |   2.58   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.18  |   0.08   |   2.30   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.18  |   0.10   |   1.76   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.29  |   0.12   |  10.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.04  |   0.09   |   0.49   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.03   |  -0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.23 |   0.14   |  -1.58   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.04  |   0.04   |   1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.04  |   0.08   |   0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.60 |   0.21   |  -7.59   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.16  |   0.44   |   0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.41 |   0.01   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.00  |   0.00   |   2.41   | 0.02*      |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.00  |   0.00   |   3.10   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.03  |   0.01   |   2.93   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.05 |   0.00   |  -33.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.18  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.50  |   0.05   |  10.42   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.05 |   0.00   |  -42.55  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.01 |   0.02   |  -0.74   | 0.46       |
| triangular) . MIMEDSH   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.19 |   0.02   |  -7.90   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     | no      | -0.64 |   0.08   |  -8.01   | 0.00***    |
| Dev. lm_normal) . SPEED |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   | sqrt    | -0.62 |   0.20   |  -3.06   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH: hetro group 0    | sqrt    | 0.04  |   0.27   |   0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE: hetro group 0   |         | -0.23 |   0.22   |  -1.06   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   |         | 0.08  |   0.01   |  11.89   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -743.8787757153287
--------------------------------------------------------------------------------
bic: 1645.17
--------------------------------------------------------------------------------
MSE: 225.10
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.32 |   0.51   |  -0.64   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.92 |   0.45   |  -2.04   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.25 |   0.14   |  -1.76   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   0.89   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.94 |   0.37   |  -2.55   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -2.45   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.34 |   0.08   |  -4.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.03   |  -0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.10  |   0.07   |   1.47   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   2.70   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.05 |   0.07   |  -0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.19  |   0.11   |   1.71   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.30  |   0.15   |   8.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.38 |   0.10   |  -3.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.00 |   0.04   |  -0.03   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.07 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) uniform  |         | 0.01  |   0.00   |   3.63   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.06 |   0.00   |  -38.67  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.01 |   0.00   |  -5.77   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.09 |   0.01   |  -10.64  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | -0.33 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -2.59   | 0.01*      |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.12 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.12  |   0.00   |  25.99   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.03  |   0.01   |   5.49   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.80  |   0.00   |  50.00   | 0.00***    |
| lm_normal) . LENGTH     |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.10 |   0.01   |  -17.00  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.05 |   0.01   |  -8.73   | 0.00***    |
| Dev. tn_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -737.8297992290326
--------------------------------------------------------------------------------
bic: 1619.39
--------------------------------------------------------------------------------
MSE: 259.11
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.45 |   0.45   |  -0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.00  |   0.10   |   9.61   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.37  |   0.16   |   2.37   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.02 |   0.01   |  -1.29   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.01   |   2.42   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.14  |   0.07   |   2.09   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.02  |   0.08   |   0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.03 |   0.04   |  -0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.01   |   0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -1.34 |   0.24   |  -5.71   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.20 |   0.11   |  -1.82   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.15 |   0.21   |  -5.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.03 |   0.04   |  -0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.50  |   0.14   |   3.48   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | -0.25 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.26  |   0.01   |  43.61   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.06  |   0.00   |  14.10   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.20 |   0.00   |  -50.00  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | -0.13 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    | log     | 0.27  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . MIMEDSH  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     | no      | -0.02 |   0.20   |  -0.08   | 0.94       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN: hetro group 0    | arcsinh | -0.10 |   0.06   |  -1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   | no      | 0.03  |   0.02   |   1.36   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS: hetro group 0   | no      | -0.58 |   0.16   |  -3.57   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 0 |         | 0.23  |   0.07   |   3.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     |         | 0.04  |   0.02   |   2.76   | 0.01*      |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -776.3827293859823
--------------------------------------------------------------------------------
bic: 1715.18
--------------------------------------------------------------------------------
MSE: 717.73
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.28 |   0.57   |  -0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.03  |   0.29   |   0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.00  |   0.32   |   0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.10 |   0.08   |  -1.27   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.06  |   0.04   |   1.73   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.14 |   0.13   |  -1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.09  |   0.01   |   8.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.00  |   0.02   |   0.08   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.09  |   0.07   |   1.35   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | -0.02 |   0.03   |  -0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.00 |   0.06   |  -0.02   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.95 |   0.22   |  -4.30   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.07 |   0.04   |  -1.75   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.20  |   0.10   |   2.00   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.30  |   0.10   |   3.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.14  |   0.02   |   5.62   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.33  |   0.00   |  50.00   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.09 |   0.00   |  -19.12  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.17 |   0.00   |  -37.73  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | 0.38  |   0.01   |  50.00   | 0.00***    |
| Dev. lm_normal) . FC    |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.11 |   0.00   |  -24.23  | 0.00***    |
| Dev. triangular) . FC   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     | arcsinh | 0.03  |   0.00   |  14.96   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| TANGENT (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     | arcsinh | -0.13 |   0.20   |  -0.63   | 0.53       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN: hetro group 0    | arcsinh | 0.11  |   0.12   |   0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  | no      | -0.38 |   0.10   |  -3.71   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: MEDWIDTH: hetro   | no      | -0.03 |   0.04   |  -0.72   | 0.47       |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 1 |         | 0.30  |   0.07   |   4.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     |         | 0.05  |   0.13   |   0.38   | 0.71       |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MEDWIDTH: hetro   |         | -0.40 |   0.05   |  -8.35   | 0.00***    |
| group 1:uniform:sd      |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -731.8374950149298
--------------------------------------------------------------------------------
bic: 1634.38
--------------------------------------------------------------------------------
MSE: 441.59
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.25 |   0.53   |  -0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.93 |   0.10   |  -9.03   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.09  |   0.09   |   0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.24 |   0.10   |  -2.46   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.04  |   0.04   |   0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.09 |   0.15   |  -0.62   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.34  |   0.17   |   2.06   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.03  |   0.04   |   0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.19 |   0.16   |  -1.24   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.75 |   0.30   |  -2.52   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.17 |   0.07   |  -2.55   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.17  |   0.09   |   1.99   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.04 |   0.05   |  -0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.61  |   0.13   |   4.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.03 |   0.26   |  -3.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.03  |   0.08   |   0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.15 |   0.08   |  -2.04   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.00  |   0.02   |   0.31   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.01  |   0.10   |  10.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.04  |   0.05   |   0.87   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 1.62  |   0.01   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.02 |   0.00   |  -18.77  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.00 |   0.00   |  -2.57   | 0.01*      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | 0.08  |   0.00   |  25.54   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.00  |   0.00   |   5.39   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.03 |   0.00   |  -11.12  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | 0.03  |   0.00   |   5.72   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. | no      | 0.04  |   0.00   |  14.36   | 0.00***    |
| uniform) . LENGTH (Std. |         |       |          |          |            |
| Dev.   lm_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      | arcsinh | -0.03 |   0.03   |  -0.82   | 0.41       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF: hetro group 0 |         | 0.19  |   0.07   |   2.73   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      |         | -0.46 |   0.03   |  -14.10  | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -743.7106172948286
--------------------------------------------------------------------------------
bic: 1636.55
--------------------------------------------------------------------------------
MSE: 288.61
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.60 |   1.07   |  -0.56   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.97  |   0.18   |   5.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.51 |   0.37   |  -1.40   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.18 |   0.10   |  -1.83   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | -0.01 |   0.14   |  -0.04   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.01 |   0.11   |  -0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.07  |   0.06   |   1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.12  |   0.06   |   1.86   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.17 |   0.34   |  -0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.09  |   0.03   |   3.03   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.00 |   0.01   |  -0.03   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.02  |   0.06   |   0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.05 |   0.37   |  -2.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.12 |   0.10   |  -1.22   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.02   |   0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.24 |   0.26   |  -0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.63  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.02  |   0.00   |   7.13   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.01  |   0.00   |  23.70   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.22 |   0.01   |  -19.42  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.03  |   0.00   |  23.60   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -1.12   | 0.26       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   | no      | 1.04  |   0.01   |  50.00   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   | arcsinh | -0.27 |   0.24   |  -1.13   | 0.26       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF: hetro group 0 |         | 0.14  |   0.09   |   1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   |         | -0.56 |   0.07   |  -8.49   | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -756.5674056203857
--------------------------------------------------------------------------------
bic: 1672.05
--------------------------------------------------------------------------------
MSE: 281.20
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.05 |   1.18   |  -0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.24 |   0.25   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.14 |   0.24   |  -0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.02   |   3.75   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.23 |   0.11   |  -2.13   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.04   |  -0.42   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.14  |   0.10   |   1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.43 |   0.17   |  -2.59   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.20 |   0.08   |  -2.33   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.27  |   0.07   |   3.60   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.12  |   0.12   |   9.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.22 |   0.43   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.01  |   0.02   |   0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.20 |   0.37   |  -3.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | -0.01 |   0.08   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.04  |   0.04   |   1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.06  |   0.00   |  18.04   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.07  |   0.00   |  47.67   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.01  |   0.00   |   4.76   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.12  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.06  |   0.00   |  18.74   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.01 |   0.00   |  -6.76   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.00  |   0.00   |   3.52   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.04  |   0.00   |  18.32   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| GRADEBR (Std. Dev.      |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.01 |   0.00   |  -5.96   | 0.00***    |
| Dev. normal) . GRADEBR  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.01  |   0.00   |   5.89   | 0.00***    |
| Dev. normal) . MEDWIDTH |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -790.4814999303645
--------------------------------------------------------------------------------
bic: 1734.48
--------------------------------------------------------------------------------
MSE: 472.85
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.13  |   0.46   |   0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.77 |   0.21   |  -3.73   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.10 |   0.03   |  -3.22   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.75  |   0.11   |   6.60   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.00  |   0.05   |   0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.14  |   0.22   |   0.64   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.05  |   0.02   |   2.02   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.10  |   0.04   |   2.45   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.14  |   0.01   |  14.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.05  |   0.02   |   3.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.01 |   0.04   |  -0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | -0.10 |   0.05   |  -2.16   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.01   |  -1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.12 |   0.20   |  -0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.48 |   0.23   |  -2.12   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.28 |   0.13   |  -2.19   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | 0.20  |   0.21   |   0.93   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.70 |   0.34   |  -2.07   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.29  |   0.10   |   3.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.71  |   0.01   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.08 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.51 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.25  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     | log     | -0.06 |   0.00   |  -40.38  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      | arcsinh | 0.19  |   0.48   |   0.39   | 0.70       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  |         | -0.31 |   0.10   |  -3.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      |         | -0.06 |   0.03   |  -2.10   | 0.04*      |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -762.0673474421576
--------------------------------------------------------------------------------
bic: 1687.94
--------------------------------------------------------------------------------
MSE: 4973.31
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.09 |   0.31   |  -3.46   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.18  |   0.02   |  11.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.61 |   0.14   |  -4.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.06  |   0.02   |   3.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.51 |   0.10   |  -5.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.05   |  -0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.04  |   0.03   |   1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.10 |   0.09   |  -1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.47 |   0.10   |  -4.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.17  |   0.08   |   2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.01  |   0.03   |   0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.31  |   0.07   |   4.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.16  |   0.08   |   2.13   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.05  |   0.05   |   0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.01  |   0.02   |   0.87   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.19 |   0.14   |  -1.39   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.33  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.13  |   0.00   |  44.97   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.07 |   0.00   |  -31.46  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.01 |   0.00   |  -3.93   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.10 |   0.00   |  -50.00  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.05  |   0.00   |  38.25   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.04  |   0.00   |  26.69   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.01  |   0.00   |   7.05   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| PEAKHR (Std. Dev.       |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.82  |   0.01   |  50.00   | 0.00***    |
| Dev. normal) . PEAKHR   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     | arcsinh | -0.00 |   0.01   |  -0.68   | 0.49       |
| Dev. normal) . MINRAD   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      | log     | -0.74 |   0.20   |  -3.78   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE: hetro group 0   |         | -0.05 |   0.25   |  -0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      |         | -0.24 |   0.03   |  -7.63   | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -764.951885345083
--------------------------------------------------------------------------------
bic: 1717.29
--------------------------------------------------------------------------------
MSE: 232.27
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.41 |   0.39   |  -1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.08 |   0.05   |  -1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.81  |   0.17   |   4.73   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.03 |   0.01   |  -1.87   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.48 |   0.11   |  -4.42   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.01  |   0.05   |   0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.17  |   0.19   |   0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.04  |   0.06   |   0.67   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.40  |   0.08   |   4.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.06  |   0.02   |   3.62   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.08  |   0.10   |   0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.21  |   0.08   |   2.71   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.68   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.07 |   0.30   |  -3.54   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.04  |   0.03   |   1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.28 |   0.20   |  -1.41   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.06   |  -0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.01 |   0.04   |  -0.38   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.30 |   0.10   |  -3.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.45  |   0.06   |   7.70   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.41 |   0.18   |  -2.20   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.55 |   0.21   |  -2.67   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.03 |   0.02   |  -1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.19 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.03  |   0.02   |   1.53   | 0.13       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.03  |   0.00   |  33.44   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.05 |   0.00   |  -32.19  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | -0.72 |   0.01   |  -50.00  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.05  |   0.00   |  24.44   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.01  |   0.00   |   5.19   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.65  |   0.01   |  43.35   | 0.00***    |
| Dev. normal) . DECLANES |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.03  |   0.00   |   7.44   | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.02  |   0.00   |  14.97   | 0.00***    |
| Dev. uniform) . ACCESS  |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -737.7188923246795
--------------------------------------------------------------------------------
bic: 1653.53
--------------------------------------------------------------------------------
MSE: 291.88
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.20 |   0.34   |  -0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.43  |   0.15   |   9.81   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.46 |   0.29   |  -1.61   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.03 |   0.03   |  -0.95   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.29 |   0.26   |  -1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.03   |  -1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.00  |   0.01   |   0.07   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.18 |   0.17   |  -1.05   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.00 |   0.03   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.14 |   0.34   |  -3.37   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.05   |   1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.01   |   0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.28 |   0.12   |  -2.32   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.01  |   0.06   |   0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.03 |   0.14   |  -0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.09 |   0.06   |  -1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.57  |   0.12   |   4.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   2.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.05 |   0.08   |  -0.55   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.67  |   0.01   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.01  |   0.00   |   8.38   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.05 |   0.00   |  -16.57  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.12 |   0.00   |  -38.45  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | -0.23 |   0.01   |  -36.70  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.02  |   0.00   |   7.22   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.07 |   0.00   |  -45.80  | 0.00***    |
| Dev. uniform) . MXMEDSH |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.08  |   0.00   |  49.50   | 0.00***    |
| Dev. uniform) . MXMEDSH |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    | no      | 0.03  |   0.00   |  48.85   | 0.00***    |
| Dev. uniform) . MXGRADE |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   | arcsinh | -0.39 |   0.14   |  -2.80   | 0.01*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   |         | 0.02  |   0.02   |   1.19   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   |         | 0.00  |   0.03   |   0.16   | 0.87       |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -763.9423795895294
--------------------------------------------------------------------------------
bic: 1693.19
--------------------------------------------------------------------------------
MSE: 399.14
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.71 |   0.19   |  -3.68   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.16 |   0.44   |  -0.35   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.78 |   0.52   |  -1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.40 |   0.12   |  -3.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.03  |   0.04   |   0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.32  |   0.21   |   1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.09  |   0.05   |   1.71   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.43  |   0.07   |   6.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | -0.08 |   0.11   |  -0.67   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.23 |   0.30   |  -0.78   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.61  |   0.13   |   4.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | 0.25  |   0.13   |   1.90   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.04  |   0.02   |   1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.46  |   0.19   |   2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.29 |   0.46   |  -2.82   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   2.23   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.64 |   0.15   |  -4.16   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.53  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.01 |   0.00   |  -7.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.09 |   0.00   |  -24.36  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -4.02   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.00  |   0.00   |   0.28   | 0.78       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.03 |   0.00   |  -18.63  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.06  |   0.00   |  46.80   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.05 |   0.00   |  -20.88  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     | no      | -0.27 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) . MXGRADE  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIGRADE: hetro    | no      | -0.01 |   0.09   |  -0.13   | 0.89       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 |         | 0.13  |   0.06   |   2.22   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIGRADE: hetro    |         | -0.34 |   0.06   |  -5.89   | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -750.1688975745267
--------------------------------------------------------------------------------
bic: 1698.61
--------------------------------------------------------------------------------
MSE: 386.00
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.46 |   0.62   |  -0.75   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.87  |   0.18   |   4.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.06  |   0.27   |   0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.12 |   0.05   |  -2.22   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.09 |   0.27   |  -0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.40 |   0.21   |  -6.79   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.09   |   1.27   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.27  |   0.09   |   2.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.07  |   0.22   |   0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.13 |   0.12   |  -1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.13 |   0.15   |  -0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.07 |   0.06   |  -1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.62   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.20  |   0.10   |   2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.24 |   0.11   |  -2.18   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.26   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.01 |   0.05   |  -0.27   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.06   |  -0.17   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.03 |   0.03   |  -1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.00  |   0.00   |   0.03   | 0.98       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.00  |   0.00   |   0.44   | 0.66       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.01  |   0.01   |   0.71   | 0.48       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.00 |   0.00   |  -0.45   | 0.65       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.00  |   0.00   |   0.22   | 0.82       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.01  |   0.01   |   0.59   | 0.55       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.00 |   0.00   |  -1.21   | 0.23       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -0.60   | 0.55       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.00 |   0.00   |  -0.04   | 0.97       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.00  |   0.01   |   0.09   | 0.93       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.00  |   0.00   |   0.60   | 0.55       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.00 |   0.01   |  -0.49   | 0.63       |
| Dev. uniform) . MIMEDSH |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.00 |   0.00   |  -0.23   | 0.82       |
| Dev. normal) . MIMEDSH  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.00  |   0.00   |   0.11   | 0.92       |
| Dev. normal) . MIGRADE  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.04  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -751.1524582229612
--------------------------------------------------------------------------------
bic: 1679.90
--------------------------------------------------------------------------------
MSE: 512.87
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.40 |   0.85   |  -0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.20 |   0.15   |  -1.35   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.01 |   0.06   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.02 |   0.43   |  -2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.04 |   0.06   |  -0.62   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.27  |   0.21   |   1.30   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.07 |   0.27   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.06   |   0.12   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.15  |   0.09   |   1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.02 |   0.11   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.04 |   0.13   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.03   |   0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.27 |   0.22   |  -1.19   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.94 |   0.50   |  -1.90   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.22  |   0.19   |   6.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.23 |   0.15   |  -1.58   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.15  |   0.10   |   1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.00  |   0.00   |   0.03   | 0.98       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.01 |   0.02   |  -0.63   | 0.53       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.02 |   0.01   |  -2.99   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.01 |   0.01   |  -0.86   | 0.39       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.00  |   0.01   |   0.14   | 0.89       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.00  |   0.00   |   4.13   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.04 |   0.01   |  -6.45   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -0.21   | 0.84       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.17 |   0.01   |  -15.95  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.15 |   0.02   |  -7.35   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.07 |   0.01   |  -11.47  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.27  |   0.02   |  14.29   | 0.00***    |
| uniform) . LENGTH (Std. |         |       |          |          |            |
| Dev.   uniform )        |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.26  |   0.01   |  21.67   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.07 |   0.01   |  -6.28   | 0.00***    |
| Dev. lm_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.26  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -774.8896287603263
--------------------------------------------------------------------------------
bic: 1697.91
--------------------------------------------------------------------------------
MSE: 11376.66
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.74 |   0.27   |  -2.72   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.02  |   0.02   |   0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.35 |   0.20   |  -6.79   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.60   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.18  |   0.08   |   2.13   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.00  |   0.03   |   0.07   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | -0.09 |   0.09   |  -0.95   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.43 |   0.14   |  -3.03   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.12 |   0.18   |  -0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -2.45   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.01  |   0.06   |   0.18   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.31  |   0.02   |  13.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.11 |   0.05   |  -2.33   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.17 |   0.23   |  -0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | -1.03 |   0.02   |  -50.00  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.07  |   0.00   |  24.52   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.14 |   0.00   |  -41.71  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.11 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.04  |   0.00   |  12.76   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | -0.06 |   0.00   |  -23.44  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.03  |   0.00   |  11.27   | 0.00***    |
| lm_normal) . LENGTH     |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 0.17  |   0.01   |  30.02   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     | arcsinh | -0.03 |   0.01   |  -3.44   | 0.00***    |
| Dev. tn_normal) . FC    |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | no      | 0.31  |   0.18   |   1.67   | 0.10       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 |         | 0.02  |   0.04   |   0.59   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | 0.00  |   0.03   |   0.09   | 0.93       |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -748.1724128377156
--------------------------------------------------------------------------------
bic: 1662.65
--------------------------------------------------------------------------------
MSE: 239.85
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.16 |   0.82   |  -0.20   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.23 |   0.17   |  -1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.02 |   0.02   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.22 |   0.29   |  -0.78   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.16 |   0.26   |  -0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.01   |   1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.02   |  -0.25   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.09  |   0.21   |   0.42   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.21  |   0.15   |   1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.37  |   0.21   |   6.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.23 |   0.52   |  -0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.07  |   0.11   |   0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.02  |   0.02   |   0.95   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.02 |   0.10   |  -0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.25 |   0.17   |  -1.53   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.25 |   0.15   |  -1.66   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.09  |   0.30   |   0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.27 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | -0.09 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.04 |   0.01   |  -4.84   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.02 |   0.01   |  -4.42   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.03 |   0.01   |  -4.17   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.01 |   0.00   |  -3.97   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -2.10 |   0.03   |  -50.00  | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | 0.04  |   0.01   |   4.29   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     | no      | 0.28  |   0.01   |  32.98   | 0.00***    |
| Dev. triangular) . URB  |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: FC: hetro group 0 | log     | -0.04 |   0.05   |  -0.85   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 |         | -1.05 |   0.36   |  -2.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: FC: hetro group   |         | 0.06  |   0.02   |   3.11   | 0.00***    |
| 0:normal:sd  hetro      |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -741.542247700483
--------------------------------------------------------------------------------
bic: 1642.00
--------------------------------------------------------------------------------
MSE: 240.18
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.24 |   0.37   |  -0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.04  |   0.11   |   9.53   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.36 |   0.14   |  -2.54   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.62 |   0.29   |  -2.14   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.14 |   0.18   |  -0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.07 |   0.18   |  -0.38   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.08  |   0.10   |   0.82   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.00 |   0.01   |  -0.22   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.91 |   0.29   |  -3.17   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.15  |   0.06   |   2.45   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.36 |   0.10   |  -3.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.10  |   0.02   |   4.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.01 |   0.02   |  -0.41   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.56 |   0.19   |  -2.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | 0.02  |   0.05   |   0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.11  |   0.04   |   3.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.01 |   0.01   |  -0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.04   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.86  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.05  |   0.00   |  18.46   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.01  |   0.00   |  21.50   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.02 |   0.00   |  -9.82   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.13  |   0.01   |  15.57   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.11  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.00 |   0.00   |  -6.52   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.08 |   0.00   |  -20.75  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.02 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) . MIMEDSH  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.07  |   0.00   |  18.25   | 0.00***    |
| Dev. normal) . MIMEDSH  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.05 |   0.00   |  -16.23  | 0.00***    |
| Dev. normal) . GRADEBR  |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -771.1959871654923
--------------------------------------------------------------------------------
bic: 1686.13
--------------------------------------------------------------------------------
MSE: 12118.59
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.66 |   1.15   |  -0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.25  |   0.05   |   5.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.10  |   0.09   |   1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.30 |   0.10   |  -3.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.25 |   0.23   |  -1.07   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.02 |   0.03   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.70 |   0.18   |  -3.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.02  |   0.04   |   0.67   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.40  |   0.06   |   6.48   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.06 |   0.06   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.22  |   0.11   |   2.06   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.01 |   0.12   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.83 |   0.38   |  -4.77   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.38  |   0.19   |   2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.00 |   0.02   |  -0.00   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.30  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.04 |   0.00   |  -14.27  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.15  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.12 |   0.00   |  -32.23  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    | no      | 0.07  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . DOUBLE   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: FC: hetro group 0 | no      | -0.14 |   0.04   |  -3.58   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 0  | no      | -0.00 |   0.05   |  -0.07   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE: hetro group 0  | no      | 0.06  |   0.02   |   2.63   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE: hetro group 0    |         | 0.15  |   0.06   |   2.34   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: FC: hetro group   |         | -0.07 |   0.02   |  -4.42   | 0.00***    |
| 0:lm_normal:sd  hetro   |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -777.4771843872128
--------------------------------------------------------------------------------
bic: 1718.26
--------------------------------------------------------------------------------
MSE: 4772.31
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.60 |   0.19   |  -3.22   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.01 |   0.12   |  -0.08   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.08  |   0.03   |   2.82   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.13 |   0.24   |  -0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.39  |   0.11   |   3.51   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.02   |   2.08   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.74 |   0.17   |  -4.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.09  |   0.04   |   2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.99 |   0.50   |  -1.98   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.43  |   0.05   |   7.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | -0.02 |   0.03   |  -0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.26 |   0.08   |  -3.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.31 |   0.26   |  -1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.33 |   0.09   |  -3.70   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.45  |   0.06   |   8.16   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.05   |  -1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   1.01   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.03  |   0.03   |   0.91   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.01 |   0.00   |  -22.84  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.42  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.06  |   0.00   |  40.62   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.01  |   0.00   |   6.94   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | -0.24 |   0.00   |  -50.00  | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.00  |   0.00   |   0.07   | 0.94       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.01 |   0.01   |  -1.34   | 0.18       |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) . FC    |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.03 |   0.00   |  -16.82  | 0.00***    |
| Dev. triangular) . FC   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.00 |   0.00   |  -1.00   | 0.32       |
| Dev. triangular) .      |         |       |          |          |            |
| PEAKHR (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -776.9861704645416
--------------------------------------------------------------------------------
bic: 1689.42
--------------------------------------------------------------------------------
MSE: 290.29
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.59 |   1.27   |  -0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.51  |   0.22   |   2.34   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | 0.09  |   0.47   |   0.18   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.10  |   0.04   |   2.73   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.31  |   0.10   |   2.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.06  |   0.05   |   1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.47  |   0.09   |   5.04   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.10 |   0.31   |  -0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -1.10 |   0.37   |  -2.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.19 |   0.16   |  -1.22   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.70 |   0.23   |  -3.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.92 |   0.41   |  -2.26   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.12   |  -0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.19 |   0.01   |  -17.10  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.00  |   0.00   |   0.39   | 0.69       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.02  |   0.02   |   1.03   | 0.30       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.00 |   0.00   |  -0.48   | 0.63       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -0.74   | 0.46       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | -0.00 |   0.00   |  -0.15   | 0.88       |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      | arcsinh | 0.24  |   0.34   |   0.69   | 0.49       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR: hetro group 0   | arcsinh | 0.30  |   0.28   |   1.05   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   | arcsinh | 0.03  |   0.03   |   0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      |         | 0.03  |   0.03   |   1.05   | 0.29       |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 1.60  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -736.8656879242136
--------------------------------------------------------------------------------
bic: 1664.51
--------------------------------------------------------------------------------
MSE: 208.20
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.52 |   0.62   |  -0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.87  |   0.08   |  10.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.29 |   0.17   |  -1.68   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.04  |   0.02   |   2.11   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.33 |   0.09   |  -3.57   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.03 |   0.12   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.26  |   0.15   |   1.78   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.04   |  -0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.09  |   0.02   |   4.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.38 |   0.15   |  -2.55   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.13 |   0.09   |  -1.40   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.02 |   0.18   |  -0.13   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.32 |   0.13   |  -2.39   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.42 |   0.19   |  -2.20   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.22  |   0.11   |   2.13   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.96 |   0.25   |  -3.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.13  |   0.08   |   1.73   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.17  |   0.06   |   2.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.02  |   0.00   |   6.07   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.01  |   0.00   |  32.39   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.48  |   0.01   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.25  |   0.01   |  28.63   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.14  |   0.00   |  49.99   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.08 |   0.00   |  -37.91  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.05 |   0.00   |  -31.33  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.08 |   0.00   |  -21.62  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.01 |   0.00   |  -1.66   | 0.10       |
| uniform) . INCLANES     |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.29 |   0.00   |  -50.00  | 0.00***    |
| uniform) . MIMEDSH      |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.14  |   0.00   |  47.18   | 0.00***    |
| Dev. normal) . INCLANES |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.16 |   0.00   |  -37.70  | 0.00***    |
| Dev. normal) . MIMEDSH  |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.10  |   0.01   |   9.28   | 0.00***    |
| Dev. normal) . SPEED    |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.01  |   0.01   |   1.10   | 0.27       |
| Dev. normal) . INCLANES |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.25 |   0.01   |  -36.76  | 0.00***    |
| Dev. normal) . MIMEDSH  |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.07  |   0.01   |  11.12   | 0.00***    |
| Dev. normal) . SPEED    |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.20  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . CURVES   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -747.2453562669009
--------------------------------------------------------------------------------
bic: 1648.51
--------------------------------------------------------------------------------
MSE: 281.73
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.00 |   0.19   |  -5.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.10  |   0.03   |   3.78   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.03 |   0.01   |  -2.17   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.05 |   0.14   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.01  |   0.02   |   0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.01   |   3.41   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.11  |   0.18   |   0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.21 |   0.08   |  -2.74   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.17  |   0.09   |  13.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.57 |   0.11   |  -5.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.35 |   0.13   |  -2.72   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.04   |  -1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.02  |   0.05   |   0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.02  |   0.03   |   0.64   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.02   |  -0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.55 |   0.11   |  -4.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.03 |   0.05   |  -0.49   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.00  |   0.03   |   0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.02 |   0.00   |  -10.92  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.18  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 1.55  |   0.01   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.06  |   0.00   |  30.49   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.15  |   0.00   |  37.97   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.00 |   0.00   |  -1.10   | 0.27       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.00  |   0.00   |   0.04   | 0.97       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   0.03   | 0.98       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.04  |   0.00   |  25.67   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -763.4467265992328
--------------------------------------------------------------------------------
bic: 1681.92
--------------------------------------------------------------------------------
MSE: 535.51
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.33 |   0.77   |  -0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.18 |   0.12   |  -1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.06  |   0.02   |   3.37   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.95 |   0.34   |  -2.80   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.14 |   0.12   |  -1.14   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.01 |   0.05   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.43  |   0.22   |   1.99   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.15  |   0.08   |   1.77   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.01 |   0.04   |  -0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.02  |   0.06   |   0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.01  |   0.09   |   0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.02  |   0.05   |   0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.54  |   0.06   |   9.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.61 |   0.28   |  -2.17   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.03   |   0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -3.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.40 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.04 |   0.00   |  -19.98  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.10 |   0.00   |  -21.29  | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.04 |   0.00   |  -36.03  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.08 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) . WIDTH |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.02  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) . WIDTH |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    | no      | 0.01  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| MINRAD (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: ACCESS: hetro     | sqrt    | -0.41 |   0.16   |  -2.59   | 0.01*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 | no      | -0.23 |   0.14   |  -1.63   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 0 |         | 0.45  |   0.06   |   7.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: ACCESS: hetro     |         | 0.05  |   0.01   |   4.35   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -760.0934026857217
--------------------------------------------------------------------------------
bic: 1680.60
--------------------------------------------------------------------------------
MSE: 4841.11
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.85 |   0.18   |  -4.65   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.81 |   0.21   |  -3.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.12  |   0.04   |   2.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.01  |   0.06   |   0.12   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.00  |   0.16   |   0.02   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.03  |   0.05   |   0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.63   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.04 |   0.16   |  -0.22   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | -0.04 |   0.07   |  -0.50   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.01 |   0.19   |  -0.07   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.08  |   0.04   |   2.26   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.07  |   0.02   |   4.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.05  |   0.06   |   0.91   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.00 |   0.03   |  -0.00   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.33 |   0.10   |  -13.02  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.20 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.10 |   0.00   |  -35.11  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.01 |   0.00   |  -7.43   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.01  |   0.00   |  10.65   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.11 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.02 |   0.00   |  -23.63  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   | arcsinh | 0.23  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . DOUBLE   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    | no      | 0.52  |   0.06   |   9.20   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE: hetro group 0  | log     | 0.03  |   0.02   |   1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE: hetro group 0   | log     | 0.12  |   0.13   |   0.97   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     | sqrt    | -0.37 |   0.24   |  -1.56   | 0.12       |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 1  |         | -0.01 |   0.00   |  -3.66   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    |         | 0.06  |   0.02   |   3.22   | 0.00***    |
| group 0:tn_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     |         | 0.01  |   0.00   |   6.84   | 0.00***    |
| group 1:uniform:sd      |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -744.3949603584947
--------------------------------------------------------------------------------
bic: 1670.28
--------------------------------------------------------------------------------
MSE: 231.02
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.56 |   0.93   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.98  |   0.13   |   7.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.30 |   0.36   |  -0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.16 |   0.37   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.63  |   0.14   |   4.60   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.07 |   0.04   |  -1.81   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.18  |   0.18   |   1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.03  |   0.09   |   0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.03 |   0.09   |  -0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.55 |   0.39   |  -4.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.30 |   0.08   |  -3.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.06   |   1.85   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.07   |   2.61   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.12  |   0.10   |   1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.24 |   0.11   |  -2.23   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.35 |   0.12   |  -2.82   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.08 |   0.04   |  -2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.10   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.02   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.00 |   0.02   |  -0.31   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.39   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.08  |   0.09   |   0.89   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.03 |   0.05   |  -0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.19  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | 1.02  |   0.01   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.00  |   0.00   |   4.31   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.04 |   0.00   |  -32.56  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.02  |   0.00   |  15.77   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   3.76   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.05 |   0.00   |  -19.89  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.01  |   0.00   |   7.82   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.03  |   0.00   |  16.18   | 0.00***    |
| Dev. uniform) . GRADEBR |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -720.8942747889657
--------------------------------------------------------------------------------
bic: 1594.81
--------------------------------------------------------------------------------
MSE: 242.34
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.88 |   0.28   |  -3.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.17 |   0.14   |  -1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.10 |   0.05   |  -2.00   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.11 |   0.23   |  -0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.06   |   3.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.01   |   0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.36 |   0.28   |  -1.28   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.02   |   3.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   1.35   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.01 |   0.15   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.02   |   1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.94  |   0.09   |   9.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.13 |   0.17   |  -0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -3.44   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.62 |   0.01   |  -43.42  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.02  |   0.00   |  10.20   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.00  |   0.00   |   2.92   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.00   |  -0.76   | 0.45       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.00  |   0.00   |   4.32   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.22 |   0.00   |  -45.95  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.02 |   0.02   |  -1.21   | 0.23       |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.04 |   0.01   |  -4.05   | 0.00***    |
| uniform) . LENGTH (Std. |         |       |          |          |            |
| Dev.   normal )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . LENGTH  |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    | no      | 0.01  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . URB     |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    | arcsinh | 0.01  |   0.07   |   0.16   | 0.88       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 |         | -1.52 |   0.13   |  -11.57  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    |         | 0.08  |   0.03   |   2.53   | 0.01*      |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -731.6304049663689
--------------------------------------------------------------------------------
bic: 1659.93
--------------------------------------------------------------------------------
MSE: 262.79
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.04  |   0.46   |   0.08   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.19  |   0.11   |  10.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.06  |   0.02   |   3.30   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.10 |   0.20   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.01 |   0.11   |  -0.12   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.01   |   1.81   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.04  |   0.02   |   1.87   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.03 |   0.07   |  -0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.05 |   0.03   |  -1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.10  |   0.06   |   1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.16  |   0.05   |   3.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.33  |   0.09   |   3.77   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.62 |   0.09   |  -6.56   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.04  |   0.02   |   1.69   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.02  |   0.08   |   0.26   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.33 |   0.09   |  -3.73   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.11 |   0.03   |  -3.57   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.22 |   0.11   |  -1.99   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.02  |   0.04   |   0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.13 |   0.19   |  -5.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.10 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.04  |   0.00   |  21.39   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.02 |   0.00   |  -5.47   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -6.28   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.37  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.34  |   0.01   |  26.96   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.03 |   0.00   |  -10.51  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.02  |   0.00   |  31.08   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.65  |   0.01   |  45.91   | 0.00***    |
| uniform) . MIMEDSH      |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.18 |   0.01   |  -27.08  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.37 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.01 |   0.01   |  -2.06   | 0.04*      |
| Dev. lm_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.03 |   0.00   |  -14.90  | 0.00***    |
| Dev. lm_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.01  |   0.00   |   7.90   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MIGRADE (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -752.1169379780723
--------------------------------------------------------------------------------
bic: 1663.26
--------------------------------------------------------------------------------
MSE: 219.38
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.60 |   0.73   |  -0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.03  |   0.18   |   5.79   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.07 |   0.30   |  -0.25   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.07 |   0.38   |  -0.18   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.02 |   0.08   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.29 |   0.28   |  -1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.06  |   0.34   |   0.18   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.07  |   0.13   |   0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.03   |   0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.20 |   0.15   |  -1.30   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.16  |   0.17   |   0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.08 |   0.22   |  -0.38   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.16 |   0.18   |  -0.93   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.03  |   0.06   |   0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.06 |   0.12   |  -0.46   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.16   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | -0.27 |   0.33   |  -0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | -0.03 |   0.01   |  -2.01   | 0.05.      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.30  |   0.02   |  13.47   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.00  |   0.00   |   2.01   | 0.05.      |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.01 |   0.01   |  -0.52   | 0.60       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -0.13   | 0.90       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | 0.00  |   0.00   |   0.96   | 0.34       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIGRADE: hetro    | no      | 0.01  |   0.07   |   0.16   | 0.87       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 | no      | 0.02  |   0.07   |   0.31   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 | log     | -1.25 |   0.45   |  -2.75   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIGRADE: hetro    |         | 0.03  |   0.20   |   0.14   | 0.89       |
| group 0:tn_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.20  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -745.8136736082395
--------------------------------------------------------------------------------
bic: 1659.83
--------------------------------------------------------------------------------
MSE: 14708.57
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.51 |   0.41   |  -1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.78 |   0.33   |  -2.40   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.40 |   0.08   |  -4.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.81   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.09  |   0.02   |   3.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.01  |   0.08   |   0.08   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.20  |   0.06   |   3.59   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.14  |   0.08   |   1.68   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.25  |   0.03   |   7.22   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.21  |   0.08   |   2.49   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.02   |   3.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.00 |   0.04   |  -0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.12  |   0.08   |   1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.04  |   0.07   |   0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.03   |   0.87   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.90 |   0.44   |  -2.06   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.05   |   1.63   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.20  |   0.09   |   2.19   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.38 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.12 |   0.00   |  -40.85  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   5.51   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) uniform  |         | -0.01 |   0.00   |  -8.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.18  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.01 |   0.00   |  -7.07   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.05  |   0.00   |  46.01   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.06  |   0.00   |  13.17   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   | no      | -0.02 |   0.00   |  -6.38   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   | no      | -0.75 |   0.09   |  -8.48   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS: hetro group 0   |         | -0.54 |   0.14   |  -4.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   |         | 0.22  |   0.01   |  16.31   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -752.7501288730269
--------------------------------------------------------------------------------
bic: 1675.20
--------------------------------------------------------------------------------
MSE: 229.66
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -4.08 |   0.17   |  -23.75  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.04   |  -1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.42 |   0.16   |  -2.66   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.08 |   0.04   |  -1.78   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.01   |   2.15   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.07  |   0.07   |   1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.01 |   0.02   |  -0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | -0.01 |   0.06   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | 0.04  |   0.05   |   0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.50 |   0.10   |  -5.05   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.21 |   0.09   |  -2.20   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.01  |   0.01   |   0.73   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.39 |   0.06   |  -6.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.97  |   0.08   |  12.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.54  |   0.13   |   4.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.21 |   0.12   |  -1.69   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.00  |   0.02   |   0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.03 |   0.00   |  -15.85  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.00  |   0.00   |   4.09   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.23 |   0.01   |  -37.49  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | -0.01 |   0.00   |  -1.26   | 0.21       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.54  |   0.02   |  35.72   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.04 |   0.00   |  -17.28  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | 0.26  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.40  |   0.01   |  50.00   | 0.00***    |
| triangular) . LENGTH    |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.01 |   0.00   |  -3.70   | 0.00***    |
| triangular) . MXMEDSH   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.35  |   0.01   |  40.65   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.00 |   0.00   |  -2.14   | 0.03*      |
| Dev. triangular) .      |         |       |          |          |            |
| MXMEDSH (Std. Dev.      |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.00 |   0.00   |  -2.08   | 0.04*      |
| Dev. triangular) . URB  |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -749.4337636382371
--------------------------------------------------------------------------------
bic: 1679.86
--------------------------------------------------------------------------------
MSE: 251.53
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.61 |   0.92   |  -2.82   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.12  |   0.12   |   9.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.42 |   0.15   |  -2.78   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.43  |   0.16   |   2.76   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.04 |   0.10   |  -0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.05  |   0.04   |   1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.36 |   0.17   |  -2.09   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.02  |   0.07   |   0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.01  |   0.08   |   0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.00  |   0.05   |   0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.12  |   0.09   |   1.29   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.29  |   0.07   |   4.33   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.01 |   0.00   |  -1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.00 |   0.04   |  -0.08   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | -0.01 |   0.13   |  -0.08   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.02  |   0.08   |   0.31   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.03   |   0.85   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.69 |   0.11   |  -6.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.17  |   0.06   |   2.77   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.31  |   0.08   |   3.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.10 |   0.09   |  -1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.16 |   0.18   |  -0.89   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.16  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.08 |   0.01   |  -13.97  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.03 |   0.00   |  -32.95  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.03 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.12 |   0.01   |  -11.79  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.12  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.09 |   0.00   |  -21.68  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.04 |   0.00   |  -8.86   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.24  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| CURVES (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -766.5586387570725
--------------------------------------------------------------------------------
bic: 1681.75
--------------------------------------------------------------------------------
MSE: 1048.60
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.18 |   0.25   |  -8.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.05 |   0.08   |  -0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.03   |   2.72   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.52 |   0.17   |  -2.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.05 |   0.10   |  -0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.11  |   0.17   |   0.65   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.34   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.03  |   0.09   |   0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.00  |   0.02   |   0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.63 |   0.05   |  -13.68  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.32  |   0.06   |   4.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.43  |   0.08   |   5.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -1.33   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.19  |   0.02   |   9.39   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.55 |   0.10   |  -5.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.18  |   0.07   |   2.50   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.00  |   0.02   |   0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.25 |   0.15   |  -1.72   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.07  |   0.06   |   1.20   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.28 |   0.08   |  -3.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.01  |   0.00   |  17.82   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.26  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.06  |   0.00   |  29.18   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.08 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.17  |   0.00   |  45.66   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.30 |   0.01   |  -43.57  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.58 |   0.00   |  -50.00  | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -727.1821068608973
--------------------------------------------------------------------------------
bic: 1624.57
--------------------------------------------------------------------------------
MSE: 383.90
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.51 |   2.25   |  -0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.35 |   0.12   |  -2.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.10  |   0.08   |   1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.05  |   0.02   |   2.62   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.78   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.05   |   0.62   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.35 |   0.39   |  -3.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.17  |   0.05   |   3.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.02  |   0.02   |   1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.00 |   0.05   |  -0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.05  |   0.08   |  13.42   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.16 |   0.08   |  -2.03   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | 0.03  |   0.15   |   0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.12  |   0.18   |   0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.05   |   0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.04 |   0.08   |  -0.56   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.01 |   0.10   |  -0.06   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.12 |   0.12   |  -1.03   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.28 |   0.09   |  -3.17   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.05 |   0.00   |  -13.81  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.02  |   0.00   |  13.95   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.11  |   0.00   |  41.07   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.05 |   0.00   |  -28.85  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.01 |   0.00   |  -1.52   | 0.13       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.06 |   0.00   |  -32.62  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.58  |   0.01   |  50.00   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.99 |   0.01   |  -50.00  | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.03  |   0.00   |  44.97   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.44 |   0.01   |  -42.07  | 0.00***    |
| uniform) . URB (Std.    |         |       |          |          |            |
| Dev.   triangular )     |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.05  |   0.00   |  36.02   | 0.00***    |
| Dev. normal) . URB      |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.21  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . TRAIN    |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -735.5321686733188
--------------------------------------------------------------------------------
bic: 1652.55
--------------------------------------------------------------------------------
MSE: 401.73
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.44 |   0.32   |  -1.39   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.32  |   0.12   |  10.68   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.07 |   0.12   |  -0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | -0.07 |   0.20   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.16 |   0.24   |  -0.67   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.41  |   0.20   |   2.03   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.05  |   0.04   |   1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.15  |   0.08   |   2.03   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.03 |   0.02   |  -1.47   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.01  |   0.05   |   0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.14  |   0.08   |   1.73   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.37 |   0.22   |  -6.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.05 |   0.09   |  -0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.07  |   0.05   |   1.33   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.03   |  -1.76   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.01 |   0.04   |  -0.21   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.40 |   0.08   |  -4.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.16  |   0.05   |   2.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.03  |   0.00   |  33.14   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.13  |   0.00   |  28.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.04 |   0.00   |  -46.61  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.06 |   0.01   |  -10.71  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.02  |   0.00   |   9.22   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.14 |   0.00   |  -50.00  | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.05 |   0.00   |  -45.93  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.22  |   0.00   |  49.15   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.07 |   0.00   |  -37.69  | 0.00***    |
| lm_normal) . FC (Std.   |         |       |          |          |            |
| Dev.   tn_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.03  |   0.00   |  28.66   | 0.00***    |
| Dev. uniform) . FC      |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.14  |   0.00   |  39.44   | 0.00***    |
| Dev. uniform) . TRAIN   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) . FC   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.08 |   0.00   |  -26.46  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| TRAIN (Std. Dev.        |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.14  |   0.00   |  36.98   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| ADTLANE (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -780.0178944090667
--------------------------------------------------------------------------------
bic: 1714.56
--------------------------------------------------------------------------------
MSE: 252.07
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.75 |   0.12   |  -6.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.06 |   0.03   |  -1.96   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.67  |   0.09   |   7.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | 0.02  |   0.23   |   0.07   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | 0.03  |   0.12   |   0.21   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.14  |   0.09   |   1.62   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.05   |  -0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.05  |   0.04   |   1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.55  |   0.06   |   8.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | -0.05 |   0.09   |  -0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.50 |   0.08   |  -6.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.02 |   0.03   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.06  |   0.02   |   3.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.81 |   0.13   |  -13.46  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.08 |   0.06   |  -1.39   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.52  |   0.05   |   9.57   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -1.02 |   0.19   |  -5.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.27  |   0.01   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | -0.00 |   0.00   |  -2.91   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.02  |   0.00   |   8.66   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.01  |   0.00   |   3.47   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.06 |   0.01   |  -10.99  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.33  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.15  |   0.00   |  45.26   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     | no      | -0.48 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) . CURVES  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  | arcsinh | -0.33 |   0.06   |  -5.20   | 0.00***    |
| 0                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   |         | 0.02  |   0.02   |   0.87   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  |         | 0.05  |   0.01   |   5.27   | 0.00***    |
| 0:lm_normal:sd  hetro   |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -761.6516452230317
--------------------------------------------------------------------------------
bic: 1673.43
--------------------------------------------------------------------------------
MSE: 3587.49
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.01 |   0.53   |  -0.02   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | 0.08  |   0.08   |   0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.02   |   4.30   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.16 |   0.12   |  -1.30   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.01  |   0.17   |   0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.01   |   1.72   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.02  |   0.07   |   0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.15  |   0.10   |   1.54   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.02  |   0.04   |   0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.33 |   0.08   |  -3.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.55 |   0.94   |  -0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.83 |   0.91   |  -0.91   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.21  |   0.03   |   6.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.87 |   0.18   |  -4.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.09  |   0.03   |   3.54   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.09  |   0.00   |  45.35   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.04  |   0.00   |  46.82   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.09 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.05  |   0.00   |  14.82   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.02  |   0.00   |  24.54   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.32  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . LENGTH   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | -0.01 |   0.00   |  -5.85   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     | arcsinh | -0.01 |   0.00   |  -6.86   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    | arcsinh | 0.18  |   0.08   |   2.23   | 0.03*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW: hetro group 0  |         | -0.13 |   0.07   |  -1.95   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    |         | 0.02  |   0.13   |   0.14   | 0.89       |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -745.6670136815108
--------------------------------------------------------------------------------
bic: 1638.57
--------------------------------------------------------------------------------
MSE: 232.01
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.32 |   0.67   |  -0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.04 |   0.05   |  -0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.06  |   0.04   |   1.83   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.14 |   0.14   |  -1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.11 |   0.04   |  -2.71   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.09 |   0.24   |  -0.35   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.04   |   1.76   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.07 |   0.12   |  -0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.96  |   0.13   |   7.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.13  |   0.10   |   1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.02 |   0.05   |  -0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.08   |   1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.24  |   0.08   |   2.81   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.05   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.02 |   0.02   |  -0.71   | 0.48       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.00  |   0.00   |   0.01   | 0.99       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.00 |   0.00   |  -0.13   | 0.89       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.00 |   0.01   |  -0.28   | 0.78       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.12  |   0.01   |   9.47   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.00  |   0.01   |   0.39   | 0.70       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   | no      | -0.04 |   0.25   |  -0.18   | 0.86       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH: hetro group 0    | no      | -0.01 |   0.01   |  -0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 | arcsinh | -1.39 |   0.28   |  -4.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  | arcsinh | -0.17 |   0.12   |  -1.45   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   |         | 0.00  |   0.01   |   0.05   | 0.96       |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.19  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -724.625226862839
--------------------------------------------------------------------------------
bic: 1608.67
--------------------------------------------------------------------------------
MSE: 388.87
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.74 |   0.17   |  -4.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.01  |   0.07   |  14.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.51 |   0.12   |  -4.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.31  |   0.14   |   2.23   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.13 |   0.12   |  -1.07   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.44  |   0.16   |   2.70   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.09  |   0.04   |   2.04   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.02 |   0.07   |  -0.30   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.07 |   0.08   |  -0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.30 |   0.19   |  -1.53   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.02 |   0.03   |  -0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.26  |   0.07   |   3.60   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.09 |   0.03   |  -2.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.05   |  -0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.24 |   0.05   |  -4.66   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | 0.04  |   0.07   |   0.56   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.06  |   0.06   |   1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.17  |   0.06   |   2.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.06 |   0.00   |  -20.56  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.04 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.11 |   0.00   |  -37.40  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | 0.07  |   0.00   |  19.32   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. | arcsinh | -0.19 |   0.01   |  -16.77  | 0.00***    |
| tn_normal) . MIMEDSH    |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | arcsinh | 0.21  |   0.26   |   0.80   | 0.42       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   | arcsinh | 0.02  |   0.02   |   1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 |         | -1.42 |   0.16   |  -8.76   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | -0.06 |   0.00   |  -13.43  | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -745.5846175774177
--------------------------------------------------------------------------------
bic: 1652.58
--------------------------------------------------------------------------------
MSE: 224.65
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.74 |   0.53   |  -1.41   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.94  |   0.10   |   9.41   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.11 |   0.20   |  -0.56   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.14 |   0.11   |  -1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.12 |   0.12   |  -1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.15 |   0.24   |  -0.62   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.24  |   0.17   |   1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.31   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.06  |   0.09   |   0.75   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.01  |   0.03   |   0.30   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.55 |   0.11   |  -5.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.07  |   0.03   |   2.40   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.09 |   0.06   |  -1.50   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.07 |   0.04   |  -1.91   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.08 |   0.11   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.02  |   0.05   |   0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.14  |   0.08   |   1.69   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.04 |   0.09   |  -0.48   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.41 |   0.08   |  -5.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.24  |   0.05   |   4.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.00 |   0.32   |  -0.01   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | -0.00 |   0.00   |  -1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.05 |   0.01   |  -8.62   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.14 |   0.00   |  -37.23  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.01 |   0.00   |  -7.65   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.04  |   0.00   |  25.64   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.08  |   0.00   |  16.54   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.27  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -733.5387932401026
--------------------------------------------------------------------------------
bic: 1636.78
--------------------------------------------------------------------------------
MSE: 335.00
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.66 |   0.40   |  -4.16   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.24 |   0.14   |  -1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.02  |   0.03   |   0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.03   |   2.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.15 |   0.12   |  -1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.01  |   0.04   |   0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.78 |   0.27   |  -2.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.17 |   0.11   |  -1.50   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.04  |   0.07   |   0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.01   |   2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.05 |   0.07   |  -0.68   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.02 |   0.08   |  -0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.17 |   0.15   |  -1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -2.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.20 |   0.09   |  -2.38   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.01   |   0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.40  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.21 |   0.01   |  -36.64  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.08 |   0.00   |  -26.53  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.01  |   0.00   |   4.62   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | 0.00  |   0.01   |   0.01   | 0.99       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.02 |   0.00   |  -8.27   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.12 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -6.64   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.00  |   0.00   |   3.95   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    | arcsinh | -0.01 |   0.00   |  -5.10   | 0.00***    |
| Dev. normal) . ADTLANE  |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     | sqrt    | 1.13  |   0.11   |  10.59   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE: hetro group 0   | no      | -0.19 |   0.19   |  -1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE: hetro group 0    |         | 0.11  |   0.05   |   2.10   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     |         | -0.37 |   0.05   |  -7.63   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -727.610462850891
--------------------------------------------------------------------------------
bic: 1621.53
--------------------------------------------------------------------------------
MSE: 244.99
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.91 |   0.86   |  -1.06   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.43  |   0.11   |  12.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.18 |   0.14   |  -1.27   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.09  |   0.04   |   2.08   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.05   |  -0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.32  |   0.15   |   2.15   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.20  |   0.19   |   1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.01   |   2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.03 |   0.01   |  -2.29   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.36 |   0.10   |  -3.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.09  |   0.05   |   1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.18  |   0.10   |   1.85   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.21  |   0.12   |   1.72   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.08 |   0.02   |  -3.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.08  |   0.07   |   1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.28 |   0.21   |  -6.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 1.06  |   0.01   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.08 |   0.00   |  -18.75  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.02 |   0.00   |  -24.54  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.12  |   0.00   |  30.69   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| DOUBLE (Std. Dev.       |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.35 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) . DOUBLE   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   | no      | 0.09  |   0.00   |  35.41   | 0.00***    |
| Dev. normal) . GRADEBR  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   | no      | -0.46 |   0.18   |  -2.56   | 0.01*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 0  | no      | 0.02  |   0.04   |   0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 | sqrt    | 0.00  |   0.04   |   0.13   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     | no      | -0.15 |   0.19   |  -0.80   | 0.42       |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW: hetro group 1  |         | 0.00  |   0.01   |   0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   |         | -0.15 |   0.02   |  -8.68   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     |         | 0.01  |   0.02   |   0.54   | 0.59       |
| group 1:uniform:sd      |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -757.9168100046411
--------------------------------------------------------------------------------
bic: 1674.25
--------------------------------------------------------------------------------
MSE: 436.98
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.39 |   0.83   |  -0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.13  |   0.02   |   6.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.09  |   0.02   |   4.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.84 |   0.28   |  -2.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.32 |   0.11   |  -2.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.20  |   0.10   |   1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.02 |   0.03   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.10  |   0.06   |   1.58   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.24  |   0.09   |   2.55   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.74 |   0.14   |  -5.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.08  |   0.08   |   0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.26 |   0.16   |  -1.59   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.37 |   0.09   |  -4.22   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.35  |   0.06   |   6.25   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.01  |   0.02   |   0.50   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.05  |   0.02   |   3.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.44  |   0.01   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | 0.09  |   0.00   |  27.84   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.06  |   0.00   |  14.17   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.04 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.15 |   0.00   |  -39.50  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.01 |   0.00   |  -6.15   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.01 |   0.00   |  -19.42  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     | no      | 0.05  |   0.00   |  24.39   | 0.00***    |
| Dev. normal) . CURVES   |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: FC: hetro group 0 | arcsinh | -0.01 |   0.04   |  -0.18   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR: hetro group 0  | no      | 0.20  |   0.06   |   3.05   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 0  | no      | 0.01  |   0.04   |   0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 |         | -0.02 |   0.01   |  -2.37   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: FC: hetro group   |         | -0.01 |   0.00   |  -2.22   | 0.03*      |
| 0:tn_normal:sd  hetro   |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -737.9810925468838
--------------------------------------------------------------------------------
bic: 1624.59
--------------------------------------------------------------------------------
MSE: 211.83
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.12  |   0.81   |   0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.04 |   0.03   |  -1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.22 |   0.16   |  -1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.06  |   0.14   |   0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.02   |   3.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.22 |   0.14   |  -1.56   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.00  |   0.04   |   0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.84 |   0.18   |  -4.63   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.18  |   0.06   |   3.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.29  |   0.11   |   2.64   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.46 |   0.20   |  -2.27   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.32 |   0.16   |  -2.05   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.00  |   0.05   |   0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.26 |   0.10   |  -2.64   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.07 |   0.07   |  -1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -1.12 |   0.01   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | -0.00 |   0.00   |  -3.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.06 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.03  |   0.00   |  11.99   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    | no      | -0.01 |   0.00   |  -2.84   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| ADTLANE (Std. Dev.      |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   | arcsinh | -0.12 |   0.23   |  -0.53   | 0.60       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH: hetro group 0  | arcsinh | 0.51  |   0.16   |   3.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     | no      | 0.99  |   0.07   |  13.85   | 0.00***    |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB: hetro group 1      |         | -0.27 |   0.12   |  -2.24   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   |         | 0.54  |   0.07   |   7.20   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     |         | -0.17 |   0.09   |  -1.94   | 0.05.      |
| group 1:uniform:sd      |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -790.8263962160197
--------------------------------------------------------------------------------
bic: 1738.57
--------------------------------------------------------------------------------
MSE: 416.50
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.42 |   0.24   |  -1.73   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.02  |   0.09   |   0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.69 |   0.15   |  -4.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.07 |   0.04   |  -1.90   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.52  |   0.25   |   2.12   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.10  |   0.03   |   2.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.53  |   0.10   |   5.41   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -1.23 |   0.16   |  -7.83   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.11  |   0.05   |   2.46   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.73  |   0.05   |  14.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | -0.00 |   0.03   |  -0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.67 |   0.10   |  -6.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.12  |   0.09   |   1.43   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.84 |   0.16   |  -5.33   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.07  |   0.00   |  45.38   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.01  |   0.00   |   5.23   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.03 |   0.00   |  -18.54  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.04  |   0.00   |  36.87   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.02  |   0.00   |  30.21   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.01  |   0.00   |   4.46   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.37  |   0.01   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.36 |   0.00   |  -50.00  | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.02 |   0.00   |  -26.07  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.02 |   0.00   |  -9.69   | 0.00***    |
| tn_normal) . INCLANES   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.03 |   0.00   |  -10.56  | 0.00***    |
| Dev. normal) . INCLANES |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.23  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . TRAIN    |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -719.924035310103
--------------------------------------------------------------------------------
bic: 1605.66
--------------------------------------------------------------------------------
MSE: 823.00
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.88 |   0.91   |  -0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.13 |   0.17   |  -0.79   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.23 |   0.20   |  -1.19   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.03 |   0.01   |  -2.15   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.22 |   0.11   |  -2.08   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.15  |   0.14   |   1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.00  |   0.01   |   0.09   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.08 |   0.07   |  -1.24   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.02   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.74 |   0.26   |  -2.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.03  |   0.04   |   0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.22  |   0.11   |  10.83   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.59  |   0.11   |   5.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.15 |   0.19   |  -0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.19  |   0.07   |   2.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.09 |   0.14   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.95 |   0.27   |  -3.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.02   |   2.05   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.00 |   0.00   |  -2.53   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.11  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.10 |   0.00   |  -44.83  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.06  |   0.00   |  24.90   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.04 |   0.00   |  -17.32  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.01  |   0.00   |   2.78   | 0.01*      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.14  |   0.00   |  35.71   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.00 |   0.00   |  -26.98  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.02 |   0.00   |  -19.43  | 0.00***    |
| Dev. lm_normal) . WIDTH |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) . WIDTH    |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) . MINRAD   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -735.1568568686058
--------------------------------------------------------------------------------
bic: 1640.02
--------------------------------------------------------------------------------
MSE: 349.03
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.28 |   0.49   |  -2.63   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.06  |   0.03   |   2.03   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.19 |   0.12   |  -1.56   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.04   |  -1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.01  |   0.01   |   1.10   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.19   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.00  |   0.04   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.27 |   0.09   |  -2.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.10  |   0.06   |   1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.22  |   0.06   |   3.68   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.22  |   0.14   |   8.56   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.48 |   0.10   |  -4.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.04  |   0.04   |   0.89   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.15 |   0.19   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.05   |   0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.11 |   0.08   |  -1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.22 |   0.23   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.54 |   0.09   |  -5.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.10 |   0.10   |  -1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   0.89   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.01  |   0.00   |   3.35   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.05  |   0.00   |  40.75   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.03 |   0.00   |  -5.70   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.06 |   0.01   |  -11.30  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.04  |   0.00   |  19.47   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.15  |   0.00   |  39.33   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.68 |   0.01   |  -50.00  | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.02 |   0.00   |  -33.65  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.14  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . TRAIN   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -749.3685448155921
--------------------------------------------------------------------------------
bic: 1659.15
--------------------------------------------------------------------------------
MSE: 233.94
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.71 |   0.19   |  -3.70   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.03  |   0.04   |   0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.22 |   0.09   |  -2.40   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.10 |   0.15   |  -0.70   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.05 |   0.08   |  -0.65   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.01  |   0.01   |   1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.14  |   0.07   |   2.00   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.41  |   0.11   |  12.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.08  |   0.02   |   3.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   0.64   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.35 |   0.11   |  -3.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.04   |   0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.58 |   0.08   |  -19.74  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.09  |   0.05   |   1.77   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.44 |   0.20   |  -2.24   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.05 |   0.11   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.12  |   0.01   |  19.88   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.12  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.02  |   0.00   |  12.57   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.22 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.01 |   0.00   |  -1.59   | 0.11       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.06 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.03  |   0.00   |   9.85   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.27  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.04  |   0.00   |  22.03   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     | sqrt    | -0.15 |   0.00   |  -33.36  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DOUBLE: hetro     | no      | -0.02 |   0.15   |  -0.16   | 0.88       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 0  |         | -0.01 |   0.04   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| main: DOUBLE: hetro     |         | -0.17 |   0.14   |  -1.22   | 0.22       |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -749.9045755511271
--------------------------------------------------------------------------------
bic: 1660.22
--------------------------------------------------------------------------------
MSE: 234.36
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.13 |   0.61   |  -0.21   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.97  |   0.09   |  10.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.02 |   0.17   |  -0.09   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.45 |   0.45   |  -1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.12 |   0.09   |  -1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.04   |  -1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   3.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.02 |   0.20   |  -0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -4.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.25  |   0.06   |   4.03   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.23  |   0.10   |   2.26   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.49   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.03 |   0.10   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.00 |   0.05   |  -0.07   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.19 |   0.51   |  -2.34   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.13 |   0.24   |  -0.55   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.11 |   0.08   |  -1.45   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.00  |   0.02   |   0.22   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.00  |   0.00   |   1.24   | 0.22       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.08  |   0.00   |  19.51   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.06  |   0.00   |  46.18   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.11  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | -1.22 |   0.02   |  -50.00  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.11  |   0.00   |  50.00   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.02  |   0.00   |  10.59   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.35  |   0.01   |  50.00   | 0.00***    |
| uniform) . DECLANES     |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.02 |   0.00   |  -11.57  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.07 |   0.00   |  -48.53  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| WIDTH (Std. Dev.        |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -747.4727649119685
--------------------------------------------------------------------------------
bic: 1669.54
--------------------------------------------------------------------------------
MSE: 259.02
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.89 |   0.23   |  -8.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.48 |   0.20   |  -2.42   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.01 |   0.01   |  -0.93   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.10  |   0.02   |   4.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.23 |   0.12   |  -1.95   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.31  |   0.09   |   3.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.08  |   0.13   |   0.64   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.03   |   2.31   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.10 |   0.08   |  -1.14   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.13  |   0.05   |   2.57   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.31  |   0.05   |   6.25   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.11  |   0.02   |   4.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.10  |   0.13   |   8.63   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.09 |   0.03   |  -2.78   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.26 |   0.10   |  -2.48   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.07  |   0.04   |   1.91   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.17 |   0.04   |  -4.70   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | -0.05 |   0.08   |  -0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.65   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.64 |   0.04   |  -14.65  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.01   |  -1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.20  |   0.09   |   2.28   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.03  |   0.00   |  11.84   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | 0.77  |   0.01   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.09  |   0.00   |  41.57   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.00  |   0.00   |   1.02   | 0.31       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.01  |   0.00   |   6.55   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.03 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -2.46   | 0.01*      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.10 |   0.00   |  -48.67  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -729.6029806127532
--------------------------------------------------------------------------------
bic: 1613.23
--------------------------------------------------------------------------------
MSE: 319.72
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.52 |   0.45   |  -1.14   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.99  |   0.07   |  14.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.14 |   0.31   |  -0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.05   |  -0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.01 |   0.04   |  -0.20   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.27  |   0.20   |   1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   2.58   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.30 |   0.16   |  -1.86   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -3.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.16 |   0.08   |  -2.05   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.20  |   0.06   |   3.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.46 |   0.28   |  -1.67   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.00  |   0.03   |   0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.49  |   0.18   |   2.76   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.29 |   0.11   |  -2.72   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.04   |  -0.17   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.05  |   0.05   |   1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.19 |   0.27   |  -4.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.01 |   0.05   |  -0.17   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.05 |   0.00   |  -26.54  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.05  |   0.00   |  46.18   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.06 |   0.00   |  -28.36  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | 0.68  |   0.01   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.02 |   0.01   |  -1.59   | 0.11       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.12  |   0.01   |  24.36   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.21  |   0.00   |  50.00   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.02 |   0.00   |  -4.57   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.29 |   0.00   |  -50.00  | 0.00***    |
| triangular) . SPEED     |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -771.5829746593175
--------------------------------------------------------------------------------
bic: 1702.58
--------------------------------------------------------------------------------
MSE: 4540.29
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.43 |   1.33   |  -0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | 0.06  |   0.44   |   0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.53   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.01  |   0.06   |   0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.62  |   0.15   |   4.16   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.21 |   0.11   |  -1.91   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.40  |   0.06   |   6.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.37 |   0.16   |  -2.28   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.15  |   0.02   |   6.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.00 |   0.04   |  -0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.51 |   0.01   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.20  |   0.01   |  24.04   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.01  |   0.00   |   5.58   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | -1.01 |   0.01   |  -50.00  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.07 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.01  |   0.00   |   7.57   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.12  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . INCLANES |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.25  |   0.01   |  36.89   | 0.00***    |
| Dev. normal) . INCLANES |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   | arcsinh | 0.09  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . CURVES   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | arcsinh | 0.34  |   0.24   |   1.43   | 0.15       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 | sqrt    | -1.24 |   0.22   |  -5.69   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE: hetro group 0   | no      | 0.08  |   0.17   |   0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    | no      | -0.12 |   0.04   |  -3.05   | 0.00***    |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC: hetro group 1       | no      | -0.07 |   0.06   |  -1.20   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF: hetro group 1 | arcsinh | 0.07  |   0.04   |   1.90   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 1   | log     | 0.03  |   0.02   |   1.65   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 1  |         | -0.46 |   0.09   |  -5.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | 0.34  |   0.08   |   4.37   | 0.00***    |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    |         | 0.02  |   0.00   |   7.03   | 0.00***    |
| group 1:normal:sd       |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -739.3661369924214
--------------------------------------------------------------------------------
bic: 1658.33
--------------------------------------------------------------------------------
MSE: 704.42
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.44 |   0.28   |  -5.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.07  |   0.14   |   7.44   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.05  |   0.07   |   0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.02  |   0.08   |   0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.00 |   0.08   |  -0.00   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.04   |   1.56   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.02   |  -0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.05 |   0.27   |  -0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.03  |   0.08   |   0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -1.35 |   0.23   |  -5.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.12 |   0.16   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.14  |   0.18   |   0.75   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.18  |   0.10   |   1.88   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -2.30   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | -0.29 |   0.29   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.00  |   0.03   |   0.07   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.00 |   0.00   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.00  |   0.01   |   0.11   | 0.91       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | 0.01  |   0.02   |   0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.00  |   0.00   |   0.13   | 0.90       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.00 |   0.00   |  -0.10   | 0.92       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.00  |   0.00   |   2.45   | 0.02*      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -1.00 |   0.02   |  -50.00  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.01  |   0.00   |   5.35   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.00  |   0.00   |   0.10   | 0.92       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.17  |   0.00   |  33.63   | 0.00***    |
| Dev. normal) . DOUBLE   |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.02  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| DOUBLE (Std. Dev.       |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.00 |   0.00   |  -5.27   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MINRAD (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   | no      | 0.05  |   0.17   |   0.30   | 0.76       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR: hetro group 0  | no      | -0.00 |   0.02   |  -0.08   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   |         | -0.00 |   0.09   |  -0.01   | 0.99       |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 3.87  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -726.7528872312157
--------------------------------------------------------------------------------
bic: 1629.60
--------------------------------------------------------------------------------
MSE: 910.47
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.19 |   0.19   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.93  |   0.12   |   7.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.48  |   0.11   |   4.53   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | -0.06 |   0.08   |  -0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.00  |   0.03   |   0.02   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.00  |   0.01   |   0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.04 |   0.03   |  -1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.79 |   0.13   |  -6.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.27 |   0.06   |  -4.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.24  |   0.09   |   2.75   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.51 |   0.10   |  -4.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.02  |   0.06   |   0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.02  |   0.05   |   0.30   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.14  |   0.07   |   2.20   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.65 |   0.11   |  -5.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.31 |   0.08   |  -4.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.23 |   0.14   |  -1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.74 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.01 |   0.00   |  -3.24   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.21 |   0.01   |  -31.60  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.09 |   0.00   |  -26.47  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.12 |   0.00   |  -39.46  | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.04 |   0.01   |  -8.16   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.03  |   0.00   |  15.36   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.40  |   0.01   |  50.00   | 0.00***    |
| lm_normal) . SPEED      |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.40  |   0.01   |  50.00   | 0.00***    |
| Dev. normal) . SPEED    |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     | arcsinh | 0.01  |   0.00   |   4.81   | 0.00***    |
| Dev. normal) . URB      |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    | arcsinh | -0.11 |   0.09   |  -1.20   | 0.23       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR: hetro group 0   | arcsinh | 0.28  |   0.11   |   2.63   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW: hetro group 0  |         | -0.08 |   0.05   |  -1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    |         | 0.40  |   0.05   |   8.64   | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.7543624785781
--------------------------------------------------------------------------------
bic: 1663.71
--------------------------------------------------------------------------------
MSE: 407.45
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.05  |   1.13   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.21 |   0.16   |  -1.33   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.45 |   0.19   |  -2.41   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.07 |   0.04   |  -1.86   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.14 |   0.20   |  -0.73   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.02   |   2.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.16  |   0.05   |   3.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.22  |   0.11   |   2.00   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 1.04  |   0.08   |  13.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.12 |   0.11   |  -1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.11  |   0.02   |   6.16   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.38 |   0.13   |  -2.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.02 |   0.10   |  -0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.15 |   0.34   |  -3.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.30 |   0.11   |  -2.69   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.02   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.02  |   0.03   |   0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.01   |  -0.42   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.04  |   0.00   |  24.59   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.06  |   0.00   |  43.78   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | 1.13  |   0.01   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.00  |   0.00   |   0.72   | 0.47       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.01  |   0.00   |  15.11   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.01  |   0.00   |  12.52   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.00 |   0.00   |  -0.32   | 0.75       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.00 |   0.00   |  -1.21   | 0.23       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.00 |   0.00   |  -3.58   | 0.00***    |
| Dev. uniform) . CURVES  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.00  |   0.00   |   1.55   | 0.12       |
| Dev. tn_normal) .       |         |       |          |          |            |
| CURVES (Std. Dev.       |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.01  |   0.00   |   5.62   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| MEDWIDTH (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -766.2311869258994
--------------------------------------------------------------------------------
bic: 1675.70
--------------------------------------------------------------------------------
MSE: 327.01
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -5.88 |   0.31   |  -19.17  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.03  |   0.08   |  12.70   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.21 |   0.10   |  -2.12   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.03   |  -1.61   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.07  |   0.08   |   0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.00 |   0.02   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.07  |   0.05   |   1.54   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.60 |   0.10   |  -6.04   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.43 |   0.09   |  -4.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.02   |   0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.08 |   0.04   |  -2.00   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.01   |   3.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.05  |   0.12   |   0.42   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.63  |   0.01   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.65  |   0.01   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   2.82   | 0.01*      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | -0.01 |   0.00   |  -5.79   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.11  |   0.00   |  44.68   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | -0.19 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.01 |   0.00   |  -10.35  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| SINGLE (Std. Dev.       |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.05  |   0.01   |   9.65   | 0.00***    |
| Dev. normal) . SINGLE   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     | arcsinh | -0.35 |   0.01   |  -50.00  | 0.00***    |
| Dev. normal) . MXGRADE  |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | arcsinh | -0.30 |   0.10   |  -3.06   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   | no      | -0.04 |   0.02   |  -1.60   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 |         | 0.02  |   0.03   |   0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | -0.06 |   0.02   |  -3.76   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -754.1686959953776
--------------------------------------------------------------------------------
bic: 1652.57
--------------------------------------------------------------------------------
MSE: 220.44
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.81 |   0.09   |  -31.29  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.11  |   0.09   |  11.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.46 |   0.22   |  -2.12   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.06  |   0.16   |   0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.02 |   0.05   |  -0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.16 |   0.07   |  -2.43   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.07  |   0.08   |   0.91   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.05 |   0.03   |  -1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.07 |   0.08   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.74 |   0.03   |  -24.01  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.12  |   0.05   |   2.47   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.20  |   0.06   |   3.39   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.47  |   0.11   |   4.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.03 |   0.00   |  -10.27  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.04 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.16 |   0.01   |  -15.75  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.24 |   0.01   |  -32.53  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      | arcsinh | 0.55  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    | no      | 0.28  |   0.19   |   1.48   | 0.14       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB: hetro group 0      | no      | 0.01  |   0.09   |   0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE: hetro group 0  | no      | 0.03  |   0.01   |   1.97   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | no      | 0.01  |   0.02   |   0.86   | 0.39       |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 1 |         | -0.02 |   0.04   |  -0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    |         | -0.05 |   0.02   |  -3.21   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | 0.01  |   0.01   |   0.80   | 0.43       |
| group 1:uniform:sd      |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -748.8579464853121
--------------------------------------------------------------------------------
bic: 1666.02
--------------------------------------------------------------------------------
MSE: 350.13
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.42 |   0.39   |  -1.07   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.15 |   0.17   |  -0.93   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.17 |   0.19   |  -0.87   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.06  |   0.04   |   1.54   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.04 |   0.35   |  -0.11   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | -0.24 |   0.36   |  -0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.07  |   0.22   |   0.35   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.14  |   0.11   |   1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.12  |   0.08   |   1.43   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.02   |   0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.14  |   0.17   |   6.68   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.17 |   0.14   |  -1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.35 |   0.70   |  -1.93   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.25 |   0.20   |  -1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.21  |   0.08   |   2.64   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.09   |  -0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.01  |   0.02   |   0.56   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.06 |   0.12   |  -0.55   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.00 |   0.01   |  -0.16   | 0.87       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.03 |   0.02   |  -1.74   | 0.08.      |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -0.98   | 0.33       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.00 |   0.00   |  -0.27   | 0.79       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.02  |   0.01   |   2.53   | 0.01*      |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.02  |   0.00   |   7.18   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.00  |   0.01   |   0.33   | 0.74       |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.00 |   0.01   |  -0.80   | 0.43       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.03 |   0.00   |  -16.55  | 0.00***    |
| Dev. triangular) . FC   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.05  |   0.01   |   6.83   | 0.00***    |
| Dev. uniform) . FC      |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.00 |   0.02   |  -0.20   | 0.84       |
| Dev. uniform) . GRADEBR |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.15  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -767.1358457722337
--------------------------------------------------------------------------------
bic: 1689.29
--------------------------------------------------------------------------------
MSE: 209.59
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.12  |   0.87   |   0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.02 |   0.25   |  -0.08   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.07 |   0.27   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.27 |   0.13   |  -2.16   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.59  |   0.15   |   3.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | 0.14  |   0.25   |   0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.08  |   0.04   |   2.15   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.04  |   0.04   |   1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.72 |   0.35   |  -2.04   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.45 |   0.13   |  -3.61   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.65 |   0.47   |  -1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.17 |   0.18   |  -0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.63  |   0.06   |  11.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.12  |   0.08   |   1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.05  |   0.12   |   0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.21 |   0.09   |  -2.37   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.82  |   0.01   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.03  |   0.01   |   6.48   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.03 |   0.00   |  -7.14   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | 0.28  |   0.02   |  18.83   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.34  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. | no      | 0.05  |   0.00   |  50.00   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      | arcsinh | -0.03 |   0.05   |  -0.63   | 0.53       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR: hetro group 0   | arcsinh | 0.39  |   0.28   |   1.39   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   | no      | 0.03  |   0.03   |   1.12   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 0 |         | 0.34  |   0.06   |   5.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      |         | -0.08 |   0.02   |  -4.47   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -780.9592668631977
--------------------------------------------------------------------------------
bic: 1715.55
--------------------------------------------------------------------------------
MSE: 236.86
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.69 |   0.22   |  -7.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.04 |   0.05   |  -0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.63  |   0.08   |   7.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.02  |   0.08   |   0.22   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.01  |   0.03   |   0.50   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.53 |   0.10   |  -5.46   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.08   |  -0.52   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.03   |   0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.29  |   0.25   |   1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.02  |   0.11   |   0.21   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.39  |   0.37   |   1.06   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.05  |   0.03   |   1.56   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.00  |   0.01   |   0.45   | 0.66       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.04 |   0.00   |  -9.32   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.00 |   0.00   |  -1.09   | 0.28       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.00 |   0.01   |  -0.10   | 0.92       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.00 |   0.01   |  -0.25   | 0.80       |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | 0.00  |   0.00   |   0.26   | 0.80       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | 0.00  |   0.00   |   0.53   | 0.60       |
| Dev. lm_normal) . TRAIN |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     | sqrt    | -0.34 |   0.33   |  -1.03   | 0.30       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE: hetro group 0   | sqrt    | -0.53 |   0.33   |  -1.58   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  | no      | -0.19 |   0.17   |  -1.09   | 0.28       |
| 1                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 1 | no      | 0.02  |   0.06   |   0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 1 | no      | -0.02 |   0.02   |  -1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     |         | -0.01 |   0.16   |  -0.03   | 0.97       |
| group 0:tn_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  |         | 0.02  |   0.03   |   0.69   | 0.49       |
| 1:triangular:sd  hetro  |         |       |          |          |            |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 1.56  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -740.3799572717325
--------------------------------------------------------------------------------
bic: 1633.78
--------------------------------------------------------------------------------
MSE: 271.85
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.70 |   0.09   |  -7.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.09  |   0.11   |   0.83   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.06  |   0.02   |   2.29   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.03  |   0.03   |   0.87   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.30 |   0.14   |  -2.13   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.26  |   0.13   |   2.05   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   3.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.01   |  -0.46   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.10  |   0.06   |   1.75   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.96  |   0.07   |  12.79   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.50 |   0.08   |  -6.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.44 |   0.12   |  -3.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.03   |   1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.09  |   0.05   |   1.81   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.70 |   0.10   |  -6.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.79 |   0.11   |  -15.97  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.11  |   0.06   |   1.79   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.00  |   0.00   |   0.41   | 0.68       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.80 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.09  |   0.00   |  45.22   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.03 |   0.00   |  -17.47  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.11 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.63  |   0.01   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.11  |   0.00   |  31.48   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.02  |   0.00   |   8.25   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.13 |   0.01   |  -15.30  | 0.00***    |
| normal) . INCLANES      |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.22 |   0.01   |  -32.61  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.12 |   0.00   |  -26.92  | 0.00***    |
| Dev. lm_normal) . SPEED |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -743.4243335487214
--------------------------------------------------------------------------------
bic: 1658.66
--------------------------------------------------------------------------------
MSE: 228.79
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.07  |   2.59   |   0.03   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.05 |   0.06   |  -0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.06  |   0.04   |   1.47   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.21 |   0.18   |  -1.17   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.52 |   0.33   |  -1.58   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.16  |   0.29   |   0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.13  |   0.11   |   1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.71   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.94 |   0.43   |  -2.18   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.24  |   0.16   |   1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.05  |   0.19   |   5.62   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.09 |   0.14   |  -0.67   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.30 |   0.66   |  -0.46   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.06   |  -0.29   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.12  |   0.09   |   1.27   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.10 |   0.10   |  -0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.01 |   0.02   |  -0.66   | 0.51       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | -0.00 |   0.01   |  -0.44   | 0.66       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.00 |   0.00   |  -0.25   | 0.81       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.00 |   0.01   |  -0.39   | 0.70       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.00  |   0.02   |   0.24   | 0.81       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.01   |   0.48   | 0.63       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   | no      | -0.16 |   0.26   |  -0.64   | 0.53       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 | no      | 0.01  |   0.07   |   0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| main: ADTLANE: hetro    | log     | -0.29 |   0.20   |  -1.41   | 0.16       |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 1 | no      | 0.24  |   0.11   |   2.24   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   |         | 0.00  |   0.08   |   0.05   | 0.96       |
| group 0:tn_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: ADTLANE: hetro    |         | 0.00  |   0.07   |   0.03   | 0.97       |
| group 1:normal:sd       |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.19  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -745.5679019849879
--------------------------------------------------------------------------------
bic: 1645.16
--------------------------------------------------------------------------------
MSE: 244.07
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.89 |   0.86   |  -1.03   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.94  |   0.08   |  12.04   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.24 |   0.29   |  -0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.00  |   0.08   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.48 |   0.12   |  -4.03   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.04   |  -0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.10 |   0.05   |  -2.14   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.40  |   0.10   |   3.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.04   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.43 |   0.13   |  -3.44   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.26  |   0.07   |   3.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.31 |   0.34   |  -0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.70 |   0.25   |  -6.68   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   3.56   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.01  |   0.01   |   0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.14  |   0.05   |   2.72   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.56   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.03   |   2.56   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.22  |   0.11   |   1.91   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.06 |   0.00   |  -25.33  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.01  |   0.00   |   8.04   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.00  |   0.00   |   0.43   | 0.67       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.13 |   0.01   |  -20.64  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -1.90   | 0.06.      |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | -0.00 |   0.00   |  -2.21   | 0.03*      |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.06  |   0.00   |  14.88   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.48  |   0.01   |  50.00   | 0.00***    |
| Dev. normal) . MXMEDSH  |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -751.002222436026
--------------------------------------------------------------------------------
bic: 1640.85
--------------------------------------------------------------------------------
MSE: 310.25
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.89 |   0.63   |  -1.41   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.97  |   0.10   |   9.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.01  |   0.24   |   0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.23 |   0.29   |  -0.80   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.01  |   0.06   |   0.12   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.06 |   0.05   |  -1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.15  |   0.07   |   2.04   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.04  |   0.04   |   0.91   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.02  |   0.01   |   1.59   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -2.79   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.19 |   0.12   |  -1.56   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.00  |   0.03   |   0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.12  |   0.29   |   0.42   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.04 |   0.02   |  -1.86   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.81 |   0.19   |  -9.57   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.02   |   0.59   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.31  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.02 |   0.00   |  -40.74  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.01  |   0.01   |   1.04   | 0.30       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.18 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.01 |   0.00   |  -7.43   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.49  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| DOUBLE (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.02 |   0.00   |  -8.57   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| DOUBLE (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.01 |   0.00   |  -8.39   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| FRICTION (Std. Dev.     |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -772.5188913780088
--------------------------------------------------------------------------------
bic: 1709.85
--------------------------------------------------------------------------------
MSE: 306.29
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.30 |   0.45   |  -5.17   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.02 |   0.03   |  -0.67   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.23 |   0.21   |  -1.12   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.00  |   0.04   |   0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   2.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.01 |   0.02   |  -0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.51 |   0.05   |  -9.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | -0.06 |   0.06   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.20  |   0.10   |   2.03   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.35 |   0.23   |  -1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.38  |   0.13   |   2.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.24 |   0.12   |  -2.11   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.01   |   1.47   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.59  |   0.06   |  10.49   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.35  |   0.07   |   4.81   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -3.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -1.06   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.33 |   0.21   |  -1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.05   |  -0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.12 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.04  |   0.00   |  20.95   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.68  |   0.01   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.01  |   0.00   |  17.16   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.03 |   0.00   |  -18.89  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.04 |   0.00   |  -12.46  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -0.03   | 0.97       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | -0.83 |   0.01   |  -50.00  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.03  |   0.00   |  34.13   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.29  |   0.00   |  50.00   | 0.00***    |
| lm_normal) . INCLANES   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -783.8364383024136
--------------------------------------------------------------------------------
bic: 1719.69
--------------------------------------------------------------------------------
MSE: 607.90
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.23 |   0.13   |  -1.73   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.33 |   0.09   |  -3.71   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.10  |   0.02   |   5.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.88 |   0.12   |  -7.46   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.44 |   0.08   |  -5.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.15 |   0.04   |  -4.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.07 |   0.14   |  -0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | 0.29  |   0.14   |   2.03   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.01   |   3.77   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.13  |   0.01   |  10.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.02   |   2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.61  |   0.05   |  11.70   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.06  |   0.06   |   0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.27  |   0.14   |   1.97   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.12  |   0.03   |   4.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.70 |   0.10   |  -7.33   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.09  |   0.05   |   1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | -0.03 |   0.07   |  -0.46   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.57 |   0.07   |  -8.30   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.00  |   0.00   |   0.93   | 0.35       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.16  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.01 |   0.00   |  -4.04   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.20  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.08  |   0.00   |  22.39   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | -0.15 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -1.70   | 0.09.      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -768.3055599031786
--------------------------------------------------------------------------------
bic: 1700.92
--------------------------------------------------------------------------------
MSE: 5372.28
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -4.01 |   0.60   |  -6.69   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.37 |   0.10   |  -3.67   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.08  |   0.03   |   2.73   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.01  |   0.07   |   0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.79  |   0.24   |   3.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.02  |   0.05   |   0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.12  |   0.03   |   4.69   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.24  |   0.19   |   1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.86 |   0.75   |  -1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.02  |   0.05   |   0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.38  |   0.18   |   2.12   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.27 |   0.13   |  -2.09   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.76 |   0.41   |  -1.87   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.49  |   0.06   |   7.67   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.14  |   0.07   |   1.88   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | -0.03 |   0.13   |  -0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.43 |   0.29   |  -1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | -0.75 |   0.45   |  -1.67   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.03  |   0.14   |   0.21   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.10 |   0.01   |  -14.08  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.05 |   0.00   |  -15.81  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.04 |   0.01   |  -6.90   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.15  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -1.29 |   0.01   |  -50.00  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.50  |   0.01   |  50.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.19 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.94  |   0.01   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| DOUBLE (Std. Dev.       |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.05 |   0.01   |  -4.58   | 0.00***    |
| Dev. normal) . DOUBLE   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.78 |   0.01   |  -50.00  | 0.00***    |
| Dev. normal) . PEAKHR   |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -750.9055816891912
--------------------------------------------------------------------------------
bic: 1661.73
--------------------------------------------------------------------------------
MSE: 2571.90
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.11  |   0.14   |   0.80   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.20  |   0.03   |   6.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.21 |   0.11   |  -1.98   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.04   |  -1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.05 |   0.05   |  -1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.02  |   0.02   |   1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.43 |   0.18   |  -2.40   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.95 |   0.24   |  -3.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.32  |   0.05   |   6.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.01   |   0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.46  |   0.13   |   3.62   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.01   |   3.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.27  |   0.08   |   3.46   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.08 |   0.02   |  -3.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.01 |   0.02   |  -0.58   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.01  |   0.04   |   0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.34 |   0.01   |  -25.67  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.09  |   0.00   |  36.08   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.00 |   0.00   |  -1.63   | 0.11       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.19  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.05 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.00  |   0.00   |   6.57   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.02 |   0.00   |  -46.41  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.14 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) . MIMEDSH  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   | log     | 0.06  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . GRADEBR  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      | log     | -0.83 |   0.19   |  -4.45   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE: hetro group 0   | arcsinh | 0.15  |   0.11   |   1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  |         | -0.21 |   0.10   |  -2.08   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      |         | 0.10  |   0.03   |   3.58   | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -770.2421530112966
--------------------------------------------------------------------------------
bic: 1690.11
--------------------------------------------------------------------------------
MSE: 392.52
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.30 |   0.14   |  -9.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.09 |   0.12   |  -0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.63 |   0.23   |  -2.77   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.43  |   0.13   |   3.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.10  |   0.02   |   5.83   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.06   |   0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.71 |   0.07   |  -9.61   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.44  |   0.10   |   4.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.39  |   0.12   |   3.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.45 |   0.23   |  -1.97   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.06   |  -0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.03   |   1.21   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.10   |   0.73   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.12 |   0.06   |  -2.08   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.04 |   0.12   |  -0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.79  |   0.01   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.00  |   0.00   |   0.39   | 0.69       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.00 |   0.00   |  -0.79   | 0.43       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.00 |   0.01   |  -0.39   | 0.70       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.12  |   0.01   |  16.38   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.00  |   0.00   |   0.83   | 0.40       |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     | arcsinh | -0.39 |   0.12   |  -3.18   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN: hetro group 0    | arcsinh | 0.49  |   0.21   |   2.35   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 0  | no      | 0.05  |   0.07   |   0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     |         | -0.55 |   0.15   |  -3.71   | 0.00***    |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.48  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -765.5003325257559
--------------------------------------------------------------------------------
bic: 1693.92
--------------------------------------------------------------------------------
MSE: 5631.92
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.31 |   0.42   |  -0.75   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.45 |   0.19   |  -2.30   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.32 |   0.38   |  -0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.05 |   0.07   |  -0.64   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.10  |   0.04   |   2.48   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.08  |   0.10   |   0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.06  |   0.04   |   1.50   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.21  |   0.09   |   2.48   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.36 |   0.23   |  -1.53   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.05  |   0.05   |   1.01   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.10 |   0.40   |  -2.77   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.39 |   0.20   |  -1.90   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.04  |   0.07   |   0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.22  |   0.13   |   1.71   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.15  |   0.06   |   2.61   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.31 |   0.14   |  -2.24   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.00  |   0.05   |   0.07   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.08   |  -0.38   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.57  |   0.02   |  36.03   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.34  |   0.01   |  38.31   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    | arcsinh | 0.09  |   0.00   |  31.08   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | no      | 0.11  |   0.29   |   0.40   | 0.69       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 0 | arcsinh | 0.35  |   0.09   |   3.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW: hetro group 0  | sqrt    | -0.10 |   0.09   |  -1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| main: DOUBLE: hetro     | arcsinh | 0.03  |   0.22   |   0.16   | 0.87       |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR: hetro group 1  |         | 0.50  |   0.09   |   5.53   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | -0.02 |   0.06   |  -0.35   | 0.73       |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DOUBLE: hetro     |         | -0.02 |   0.06   |  -0.36   | 0.72       |
| group 1:uniform:sd      |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -750.9714083204952
--------------------------------------------------------------------------------
bic: 1651.07
--------------------------------------------------------------------------------
MSE: 11606.16
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.17 |   0.43   |  -0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.22 |   0.30   |  -0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.04   |  -1.29   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.19 |   0.17   |  -1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.02  |   0.04   |   0.55   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.09  |   0.02   |   3.57   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.09  |   0.07   |   1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.25  |   0.06   |   4.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.24  |   0.03   |   9.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.44 |   0.17   |  -2.55   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.07  |   0.03   |   2.37   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.98 |   0.23   |  -4.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.12 |   0.06   |  -2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.08  |   0.03   |   2.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.17 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.30 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.00 |   0.00   |  -2.25   | 0.03*      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.03  |   0.00   |  18.03   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.15 |   0.00   |  -41.41  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    | no      | -0.07 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: ACCESS: hetro     | log     | -0.48 |   0.16   |  -3.07   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  | no      | -0.25 |   0.09   |  -2.81   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | arcsinh | 0.04  |   0.02   |   1.94   | 0.05.      |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE: hetro group 1   |         | 0.17  |   0.09   |   1.96   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| main: ACCESS: hetro     |         | 0.09  |   0.01   |  15.22   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | 0.04  |   0.01   |   2.88   | 0.00***    |
| group 1:normal:sd       |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.8937098715509
--------------------------------------------------------------------------------
bic: 1659.10
--------------------------------------------------------------------------------
MSE: 270.35
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.43 |   0.31   |  -7.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.24 |   0.16   |  -1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.08 |   0.04   |  -2.31   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.07  |   0.09   |   0.85   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.06 |   0.07   |  -0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.00  |   0.02   |   0.04   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.19 |   0.17   |  -1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.06 |   0.03   |  -1.58   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.05 |   0.01   |  -4.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.34 |   0.08   |  -4.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.20  |   0.05   |   3.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.30 |   0.12   |  -2.57   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.07  |   0.20   |   0.34   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.02  |   0.15   |   6.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.03 |   0.05   |  -0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.16 |   0.29   |  -0.55   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | -0.09 |   0.10   |  -0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.39 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.07 |   0.00   |  -48.28  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.34 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.27  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | -0.23 |   0.01   |  -26.73  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.03 |   0.00   |  -22.82  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.04 |   0.00   |  -33.03  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 0.28  |   0.01   |  26.28   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 0.26  |   0.01   |  47.46   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.80 |   0.01   |  -50.00  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.13  |   0.00   |  37.40   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.05  |   0.01   |   7.38   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| SINGLE (Std. Dev.       |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -754.2450536759081
--------------------------------------------------------------------------------
bic: 1673.41
--------------------------------------------------------------------------------
MSE: 341.42
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.76 |   0.40   |  -4.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.94  |   0.23   |   4.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.03 |   0.28   |  -0.11   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.02 |   0.05   |  -0.43   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.04 |   0.02   |  -1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.02 |   0.17   |  -0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.05  |   0.05   |   0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.02  |   0.15   |   0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.03 |   0.07   |  -0.38   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.10  |   0.21   |   0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.27  |   0.09   |   2.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.28  |   0.15   |   1.93   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.03   |  -0.31   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.22 |   0.15   |  -1.47   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.40  |   0.25   |   1.60   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.13  |   0.11   |   1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.53 |   0.12   |  -4.54   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.12   |   0.91   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.09   |  -0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.02  |   0.09   |   0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.00  |   0.00   |   0.14   | 0.89       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.01   |   0.28   | 0.78       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.00  |   0.00   |   0.08   | 0.93       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.00 |   0.00   |  -0.95   | 0.35       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.00  |   0.01   |   0.19   | 0.85       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.02  |   0.02   |   1.04   | 0.30       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.00 |   0.00   |  -0.74   | 0.46       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.00  |   0.00   |   0.74   | 0.46       |
| Dev. lm_normal) .       |         |       |          |          |            |
| MIGRADE (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 1.98  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -749.7574817053754
--------------------------------------------------------------------------------
bic: 1665.82
--------------------------------------------------------------------------------
MSE: 309.24
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.41 |   0.70   |  -0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.15 |   0.26   |  -0.56   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.05   |  -1.17   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.02  |   0.19   |   0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.18 |   0.16   |  -1.17   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.00 |   0.05   |  -0.08   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   2.23   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.03  |   0.02   |   1.35   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.13 |   0.07   |  -1.86   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.65   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.45 |   0.17   |  -8.53   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.20  |   0.08   |  16.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.16 |   0.22   |  -0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.12 |   0.09   |  -1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.07  |   0.15   |   0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.30 |   0.09   |  -3.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.05   |   2.09   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.19  |   0.08   |   2.46   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.10 |   0.11   |  -0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.01  |   0.03   |   0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.01 |   0.00   |  -5.02   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.06  |   0.00   |  43.26   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.04 |   0.00   |  -14.80  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.07 |   0.00   |  -19.81  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.01  |   0.00   |   2.37   | 0.02*      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | -0.22 |   0.00   |  -45.58  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.31 |   0.01   |  -34.07  | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | 0.00  |   0.01   |   0.59   | 0.56       |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | 0.08  |   0.01   |  15.80   | 0.00***    |
| Dev. triangular) . URB  |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -740.7478718523015
--------------------------------------------------------------------------------
bic: 1643.41
--------------------------------------------------------------------------------
MSE: 219.25
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.94 |   0.63   |  -1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.91  |   0.10   |   9.30   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -1.04 |   0.32   |  -3.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.02  |   0.03   |   0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.09 |   0.11   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.02 |   0.05   |  -0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.28 |   0.41   |  -0.68   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.13  |   0.17   |   0.75   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.05   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.03  |   0.03   |   1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.36 |   0.11   |  -3.16   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.27  |   0.11   |   2.50   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.24 |   0.20   |  -1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.42  |   0.24   |   1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.01 |   0.10   |  -0.07   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.36 |   0.20   |  -1.79   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.05  |   0.03   |   1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.15  |   0.07   |   2.12   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.22  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.17  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.13  |   0.00   |  28.62   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.11 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.10  |   0.00   |  24.51   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | 0.09  |   0.01   |  12.98   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. | arcsinh | -0.15 |   0.01   |  -22.92  | 0.00***    |
| uniform) . MXGRADE      |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | no      | -0.12 |   0.21   |  -0.56   | 0.58       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 0 |         | 0.27  |   0.06   |   4.66   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | 0.01  |   0.03   |   0.40   | 0.69       |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -784.6708000533076
--------------------------------------------------------------------------------
bic: 1717.47
--------------------------------------------------------------------------------
MSE: 1925.55
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.27 |   0.46   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.38 |   0.16   |  -2.48   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.13 |   0.17   |  -0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.01  |   0.03   |   0.31   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.06  |   0.11   |   0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.12  |   0.01   |   9.03   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.02  |   0.04   |   0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.54 |   0.08   |  -7.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.20  |   0.08   |   2.37   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.18 |   0.06   |  -3.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.42  |   0.12   |   3.44   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.03  |   0.04   |   0.67   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.05 |   0.04   |  -1.09   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.04  |   0.02   |   1.62   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.24  |   0.08   |   2.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.73 |   0.17   |  -4.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.25 |   0.22   |  -1.17   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.05  |   0.02   |   1.98   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.21  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) uniform  |         | 0.10  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.01 |   0.00   |  -13.77  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.38 |   0.01   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.15  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.16  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 0.33  |   0.04   |   9.22   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.02 |   0.01   |  -3.58   | 0.00***    |
| Dev. normal) . SINGLE   |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -752.042153763033
--------------------------------------------------------------------------------
bic: 1664.00
--------------------------------------------------------------------------------
MSE: 300.84
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.19 |   0.24   |  -0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.75  |   0.08   |   9.51   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.10 |   0.04   |  -2.78   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.25 |   0.10   |  -2.44   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.04   |  -1.07   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.15 |   0.15   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.05  |   0.14   |   0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.20  |   0.08   |   2.64   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.35 |   0.15   |  -2.31   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.04  |   0.03   |   1.27   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.17 |   0.24   |  -4.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.29  |   0.06   |   4.69   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.49  |   0.13   |   3.77   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.27 |   0.12   |  -2.18   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   3.53   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.06  |   0.08   |   0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.30  |   0.16   |   1.85   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.44  |   0.01   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.22 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.08  |   0.00   |  19.03   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.02  |   0.00   |   5.88   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     | no      | -0.15 |   0.00   |  -50.00  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   | arcsinh | -0.07 |   0.15   |  -0.45   | 0.65       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT: hetro group 0  | arcsinh | -0.05 |   0.08   |  -0.56   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  | sqrt    | -0.25 |   0.07   |  -3.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      | no      | -0.12 |   0.07   |  -1.77   | 0.08.      |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 1  |         | -0.01 |   0.05   |  -0.22   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   |         | -0.11 |   0.02   |  -4.89   | 0.00***    |
| group 0:tn_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      |         | 0.62  |   0.09   |   7.14   | 0.00***    |
| group 1:triangular:sd   |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -755.2126883250737
--------------------------------------------------------------------------------
bic: 1658.55
--------------------------------------------------------------------------------
MSE: 644.71
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.59 |   1.13   |  -1.41   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.15  |   0.18   |   0.80   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.05  |   0.03   |   1.69   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | 0.02  |   0.01   |   1.60   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.07 |   0.04   |  -1.82   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.03 |   0.05   |  -0.49   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.01   |   3.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.52 |   0.17   |  -3.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.30  |   0.07   |   4.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -1.73 |   0.19   |  -9.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.00 |   0.01   |  -0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.16  |   0.06   |   2.73   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.02   |   0.38   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.35  |   0.14   |   9.44   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.05  |   0.24   |   0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.04 |   0.01   |  -2.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.02  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.03 |   0.01   |  -5.32   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -4.24   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | 0.39  |   0.01   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | -0.40 |   0.01   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.01 |   0.00   |  -34.66  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.22  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.02 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) . LENGTH  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.01  |   0.00   |  35.31   | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -744.3124928070819
--------------------------------------------------------------------------------
bic: 1662.22
--------------------------------------------------------------------------------
MSE: 376.98
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.11 |   0.34   |  -0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.01 |   0.00   |  -4.25   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.46 |   0.13   |  -3.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.02   |   3.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.03   |   0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.02   |   2.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.40 |   0.12   |  -3.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.21  |   0.07   |   2.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.22  |   0.14   |   8.61   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.13 |   0.13   |  -0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.24 |   0.14   |  -1.69   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.05   |   1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.00  |   0.02   |   0.02   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.05   |   0.49   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.21 |   0.32   |  -3.71   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.32  |   0.14   |   2.23   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.01 |   0.00   |  -1.83   | 0.07.      |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.16 |   0.01   |  -17.84  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.26  |   0.01   |  43.20   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.18 |   0.00   |  -40.32  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -5.16   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.04  |   0.00   |  21.40   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.13 |   0.00   |  -41.56  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.05  |   0.01   |   5.85   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | -0.14 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.13 |   0.01   |  -25.52  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MINRAD (Std. Dev.       |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.07  |   0.01   |   9.68   | 0.00***    |
| Dev. uniform) . MINRAD  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.26  |   0.01   |  43.51   | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| MEDWIDTH (Std. Dev.     |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.14  |   0.00   |  36.07   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MINRAD (Std. Dev.       |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.08  |   0.01   |  10.32   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MEDWIDTH (Std. Dev.     |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.21  |   0.02   |   8.70   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| FRICTION (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -767.673871793008
--------------------------------------------------------------------------------
bic: 1684.98
--------------------------------------------------------------------------------
MSE: 840.53
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.37 |   0.46   |  -0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.12 |   0.19   |  -6.05   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.04   |  -0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.04 |   0.05   |  -0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.04  |   0.04   |   1.07   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.30 |   0.24   |  -1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.05  |   0.06   |   0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.45  |   0.08   |   5.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.12  |   0.12   |   0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.32 |   0.09   |  -3.51   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.26 |   0.10   |  -2.45   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.09  |   0.01   |   7.03   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.07  |   0.02   |   3.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.17  |   0.09   |   1.87   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.33 |   0.11   |  -2.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.23  |   0.09   |   2.64   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.26  |   0.14   |   1.86   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.11 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.13  |   0.00   |  26.78   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.04 |   0.00   |  -21.42  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.04  |   0.00   |  35.94   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.03 |   0.00   |  -8.18   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.48 |   0.01   |  -50.00  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.17 |   0.01   |  -20.13  | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | 0.58  |   0.01   |  39.03   | 0.00***    |
| triangular) . MIMEDSH   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -721.8859843116771
--------------------------------------------------------------------------------
bic: 1646.34
--------------------------------------------------------------------------------
MSE: 415.81
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.36 |   0.38   |  -0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.18 |   0.18   |  -1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.30 |   0.26   |  -1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.09  |   0.02   |   5.56   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.04   |  -0.26   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.14   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.20 |   0.19   |  -1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.20  |   0.05   |   3.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.17  |   0.07   |   2.30   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.22  |   0.12   |   9.75   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.25  |   0.17   |   1.45   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.01 |   0.01   |  -1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.01 |   0.07   |  -0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.16 |   0.10   |  -1.60   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.07  |   0.04   |   1.62   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | 0.04  |   0.05   |   0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.58 |   0.23   |  -2.50   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.43 |   0.31   |  -1.40   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.09   |   0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.36 |   0.06   |  -5.79   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.14 |   0.01   |  -27.48  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.06 |   0.00   |  -19.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.01 |   0.00   |  -22.36  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.04 |   0.00   |  -17.01  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.01 |   0.00   |  -17.57  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.07  |   0.00   |  30.92   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.01  |   0.00   |   1.75   | 0.08.      |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.11  |   0.01   |  12.00   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -1.18 |   0.01   |  -50.00  | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.17  |   0.01   |  23.94   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.00 |   0.00   |  -4.10   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.85 |   0.01   |  -50.00  | 0.00***    |
| triangular) . WIDTH     |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.05 |   0.00   |  -11.46  | 0.00***    |
| Dev. uniform) . WIDTH   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.42  |   0.01   |  50.00   | 0.00***    |
| Dev. uniform) . SPEED   |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.04 |   0.01   |  -4.28   | 0.00***    |
| Dev. normal) . WIDTH    |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.70  |   0.01   |  50.00   | 0.00***    |
| Dev. normal) . SPEED    |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.02  |   0.00   |  27.28   | 0.00***    |
| Dev. normal) . MIGRADE  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -765.8451866954169
--------------------------------------------------------------------------------
bic: 1685.32
--------------------------------------------------------------------------------
MSE: 814.22
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.98 |   0.19   |  -5.22   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.20  |   0.03   |   6.65   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.05  |   0.37   |   0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.00 |   0.07   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.07 |   0.07   |  -0.95   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.46 |   0.29   |  -1.59   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.09  |   0.10   |   0.85   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.30  |   0.08   |   3.68   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.22  |   0.15   |   1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.14 |   0.30   |  -0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.03 |   0.06   |  -0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.04   |   1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.16 |   0.16   |  -1.01   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -2.14   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.14 |   0.15   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.49 |   0.11   |  -4.53   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.00  |   0.00   |   0.23   | 0.82       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.47   | 0.64       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.01   | 0.99       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | -0.03 |   0.03   |  -1.24   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -0.52   | 0.60       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.01  |   0.01   |   1.00   | 0.32       |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.00 |   0.00   |  -1.12   | 0.27       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.01 |   0.01   |  -1.04   | 0.30       |
| Dev. uniform) . WIDTH   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 1.72  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -745.4868079052688
--------------------------------------------------------------------------------
bic: 1671.96
--------------------------------------------------------------------------------
MSE: 341.39
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.09 |   0.71   |  -0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.15  |   0.14   |   8.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.01 |   0.10   |  -0.07   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.03 |   0.04   |  -0.64   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.01   |   3.60   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.27 |   0.18   |  -1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.13  |   0.06   |   2.20   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.26  |   0.07   |   3.70   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.25  |   0.09   |   2.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.50 |   0.22   |  -2.26   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.00 |   0.17   |  -0.01   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.10  |   0.09   |   1.14   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.10  |   0.02   |   4.53   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.04 |   0.07   |  -0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.02  |   0.03   |   0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.41 |   0.13   |  -3.16   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.31 |   0.09   |  -3.57   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.23 |   0.10   |  -2.37   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.10  |   0.07   |   1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.19  |   0.00   |  39.43   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.07 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.07 |   0.00   |  -46.76  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.20  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.09  |   0.00   |  18.69   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.02  |   0.00   |  19.68   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.03  |   0.00   |  32.85   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.03  |   0.00   |  32.67   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.05 |   0.01   |  -3.25   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.06  |   0.00   |  42.34   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    | log     | 0.01  |   0.00   |   2.65   | 0.01*      |
| Dev. normal) . URB      |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      | sqrt    | -0.43 |   0.25   |  -1.71   | 0.09.      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED: hetro group 0    |         | -0.20 |   0.16   |  -1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      |         | -0.00 |   0.02   |  -0.15   | 0.88       |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -774.9537561109671
--------------------------------------------------------------------------------
bic: 1698.04
--------------------------------------------------------------------------------
MSE: 325.48
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.48 |   0.67   |  -2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.41 |   0.19   |  -2.15   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.00  |   0.04   |   0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.39 |   0.19   |  -2.09   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.02 |   0.12   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.09  |   0.01   |   8.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.34 |   0.17   |  -1.92   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.05  |   0.04   |   1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.71 |   0.08   |  -8.75   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.49  |   0.13   |   3.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.17 |   0.12   |  -1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.05  |   0.03   |   1.98   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.05  |   0.05   |   0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.37  |   0.07   |   5.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.03  |   0.03   |   1.07   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.03 |   0.02   |  -1.43   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.22  |   0.01   |  38.05   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.04  |   0.00   |  33.96   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.05 |   0.00   |  -21.84  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.00 |   0.00   |  -0.01   | 1.00       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.05 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.01 |   0.00   |  -5.36   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    | no      | -0.02 |   0.00   |  -8.78   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      | arcsinh | -0.01 |   0.01   |  -1.60   | 0.11       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR: hetro group 0   | arcsinh | 0.39  |   0.15   |   2.53   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES: hetro group 0   |         | 0.11  |   0.08   |   1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      |         | 0.02  |   0.00   |  10.60   | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -734.7777611538133
--------------------------------------------------------------------------------
bic: 1656.44
--------------------------------------------------------------------------------
MSE: 286.55
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.83 |   0.28   |  -2.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.30 |   0.17   |  -1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.05  |   0.03   |   1.63   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.29 |   0.12   |  -2.43   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.03 |   0.20   |  -0.13   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.21  |   0.10   |   2.20   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.00  |   0.01   |   0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.03 |   0.06   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   2.68   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.14 |   0.11   |  -1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.21 |   0.19   |  -1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -3.63   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.21  |   0.09   |   2.45   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.70 |   0.25   |  -2.78   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.03  |   0.03   |   0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.11 |   0.04   |  -3.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.21  |   0.15   |   1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.61 |   0.10   |  -6.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.31  |   0.06   |   4.83   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.07  |   0.03   |   2.54   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.08  |   0.11   |   9.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.04   |   0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.01  |   0.00   |   8.80   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.07 |   0.00   |  -26.07  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.01  |   0.00   |  13.23   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.28  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.00  |   0.00   |   1.73   | 0.09.      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -0.50   | 0.62       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.43 |   0.01   |  -50.00  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.03  |   0.00   |  33.89   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.14  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -729.7694589054252
--------------------------------------------------------------------------------
bic: 1628.74
--------------------------------------------------------------------------------
MSE: 351.60
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.53 |   0.27   |  -5.70   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.30  |   0.08   |  15.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.08 |   0.17   |  -0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.44 |   0.20   |  -2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.51 |   0.08   |  -6.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.29 |   0.13   |  -2.17   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.02  |   0.04   |   0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.06 |   0.03   |  -2.00   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.03 |   0.04   |  -0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.07 |   0.06   |  -1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.18  |   0.10   |   1.72   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.32 |   0.19   |  -1.68   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.11  |   0.08   |   1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.00 |   0.07   |  -0.04   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.59  |   0.21   |   2.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.02   |   2.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.42 |   0.13   |  -3.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.34 |   0.09   |  -3.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.01  |   0.00   |   3.02   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.00 |   0.00   |  -2.23   | 0.03*      |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.00   |  -3.23   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | -0.85 |   0.01   |  -50.00  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.03 |   0.00   |  -16.37  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.20 |   0.00   |  -45.70  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.01  |   0.00   |  19.18   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.10 |   0.00   |  -34.86  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| MXMEDSH (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.07 |   0.01   |  -7.71   | 0.00***    |
| Dev. normal) . MXMEDSH  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.29  |   0.01   |  35.99   | 0.00***    |
| Dev. normal) . MXGRADE  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.42 |   0.01   |  -50.00  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MXMEDSH (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.37  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MXGRADE (Std. Dev.      |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.18  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| FRICTION (Std. Dev.     |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -738.9860948217533
--------------------------------------------------------------------------------
bic: 1642.78
--------------------------------------------------------------------------------
MSE: 1278.48
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.44 |   0.19   |  -2.32   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | 0.01  |   0.02   |   0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.02 |   0.04   |  -0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.17 |   0.13   |  -1.30   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.11  |   0.10   |   1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.01  |   0.06   |   0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.03 |   0.04   |  -0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.08 |   0.14   |  -7.71   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.36 |   0.07   |  -5.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.24  |   0.05   |   5.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.47 |   0.11   |  -4.16   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   2.07   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.17 |   0.13   |  -1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.89  |   0.05   |  17.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.08 |   0.03   |  -2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.05  |   0.02   |   2.15   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.29  |   0.08   |   3.59   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.02  |   0.00   |  32.73   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.06 |   0.00   |  -29.06  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.14 |   0.00   |  -35.92  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.11  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.00 |   0.00   |  -1.76   | 0.08.      |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | -0.05 |   0.00   |  -21.34  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.22  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . LENGTH   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.02 |   0.00   |  -12.39  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.39 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | -0.05 |   0.00   |  -23.00  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | -0.03 |   0.00   |  -7.49   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.19  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| MXGRDIFF (Std. Dev.     |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -769.2714885320997
--------------------------------------------------------------------------------
bic: 1693.56
--------------------------------------------------------------------------------
MSE: 750.48
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.67 |   2.67   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.06  |   0.03   |   1.85   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.05  |   0.14   |   0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.33 |   0.33   |  -1.01   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.37  |   0.34   |   1.06   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.02   |  -0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.06   |   0.46   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.49 |   0.25   |  -1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.44  |   0.16   |   2.73   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.24  |   0.02   |  12.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.40 |   0.25   |  -1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.23 |   0.20   |  -1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.57 |   0.20   |  -2.80   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.19 |   0.14   |  -1.36   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.06 |   0.11   |  -0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.02   |   1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.08 |   0.00   |  -33.11  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.25  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.10 |   0.00   |  -47.18  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.01 |   0.00   |  -18.11  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.42  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.43 |   0.01   |  -50.00  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.02  |   0.00   |  34.90   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     | no      | 0.14  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      | arcsinh | -0.14 |   0.08   |  -1.69   | 0.09.      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR: hetro group 0   | no      | 0.39  |   0.21   |   1.82   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE: hetro group 0  |         | 0.02  |   0.02   |   1.35   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      |         | 0.04  |   0.04   |   1.02   | 0.31       |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -736.8711206807593
--------------------------------------------------------------------------------
bic: 1632.66
--------------------------------------------------------------------------------
MSE: 234.22
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.08  |   0.12   |   0.65   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.19  |   0.08   |  14.78   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.42 |   0.14   |  -2.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.72 |   0.19   |  -3.78   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.12  |   0.06   |   1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.02   |  -0.80   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.02   |   1.56   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.96 |   0.07   |  -12.94  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.18  |   0.06   |   2.79   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.32  |   0.09   |   3.67   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.06 |   0.06   |  -1.03   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.27 |   0.12   |  -2.22   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.47  |   0.09   |   5.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.00  |   0.01   |   0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.00  |   0.03   |   0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.27 |   0.05   |  -5.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.07 |   0.07   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.05 |   0.12   |  -0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.26 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.08 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.01  |   0.00   |  16.65   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.02 |   0.00   |  -10.77  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.01  |   0.00   |  15.90   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 0.00  |   0.00   |   0.02   | 0.98       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     | no      | -0.18 |   0.00   |  -50.00  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  | no      | -0.26 |   0.10   |  -2.55   | 0.01*      |
| 0                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE: hetro group 0  |         | 0.05  |   0.02   |   3.22   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  |         | 0.04  |   0.02   |   2.28   | 0.02*      |
| 0:normal:sd  hetro      |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -740.7200730659325
--------------------------------------------------------------------------------
bic: 1631.07
--------------------------------------------------------------------------------
MSE: 226.71
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.08 |   0.38   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.00  |   0.11   |   9.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.38 |   0.40   |  -0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.24 |   0.11   |  -2.23   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.04 |   0.21   |  -0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.01 |   0.04   |  -0.31   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.00  |   0.04   |   0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.97 |   0.34   |  -2.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.10  |   0.08   |   1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.21  |   0.07   |   3.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.26  |   0.11   |   2.48   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.69 |   0.13   |  -5.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.03   |   2.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.09  |   0.03   |   3.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.04  |   0.03   |   1.50   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.26 |   0.12   |  -2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.03 |   0.09   |  -0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.31  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.18  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.05  |   0.00   |  38.34   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     | no      | 0.05  |   0.00   |  31.11   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: ACCESS: hetro     | no      | -0.24 |   0.18   |  -1.32   | 0.19       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 | no      | 0.01  |   0.04   |   0.38   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW: hetro group 0  |         | -0.01 |   0.02   |  -0.52   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| main: ACCESS: hetro     |         | -0.05 |   0.01   |  -3.80   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -743.1356138995536
--------------------------------------------------------------------------------
bic: 1680.05
--------------------------------------------------------------------------------
MSE: 337.52
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.18 |   0.61   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.83  |   0.11   |   7.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.01 |   0.01   |  -0.85   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.05   |  -0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.04 |   0.30   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.30 |   0.28   |  -1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.12  |   0.08   |   1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.10  |   0.03   |   3.83   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.09  |   0.10   |   0.91   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.03  |   0.02   |   1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.02   |   1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.50 |   0.12   |  -4.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.25  |   0.06   |   3.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.20  |   0.09   |   2.13   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.03 |   0.05   |  -0.55   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.29 |   0.12   |  -2.43   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.12  |   0.25   |   0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.08 |   0.09   |  -0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.44 |   0.09   |  -4.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.06  |   0.05   |   1.07   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.58 |   0.17   |  -3.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.10  |   0.02   |   4.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.05   |  -0.46   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.07  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.44  |   0.01   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.01  |   0.01   |   1.57   | 0.12       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.00   |  -0.00   | 1.00       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.01  |   0.00   |   3.25   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.28  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.03 |   0.00   |  -5.42   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | -0.05 |   0.00   |  -26.24  | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.02  |   0.00   |   7.22   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.02  |   0.01   |   3.30   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MXMEDSH (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -741.5094896808685
--------------------------------------------------------------------------------
bic: 1658.62
--------------------------------------------------------------------------------
MSE: 431.56
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.21 |   0.33   |  -6.62   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.13  |   0.08   |  13.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.44 |   0.16   |  -2.73   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.05   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.09  |   0.14   |   0.64   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.04   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   2.14   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.06 |   0.08   |  -0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.24 |   0.17   |  -1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.10  |   0.05   |   1.97   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.40  |   0.08   |   4.71   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.33 |   0.17   |  -1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.04  |   0.02   |   1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.16 |   0.08   |  -1.91   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.02   |   3.56   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.51 |   0.06   |  -9.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.27  |   0.06   |   4.54   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.76 |   0.01   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.01 |   0.00   |  -12.16  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.19 |   0.01   |  -25.06  | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | -0.11 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.00  |   0.00   |   0.49   | 0.63       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | 0.07  |   0.00   |  28.70   | 0.00***    |
| Dev. lm_normal) . WIDTH |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.17  |   0.01   |  27.54   | 0.00***    |
| Dev. uniform) . WIDTH   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.02  |   0.01   |   3.58   | 0.00***    |
| Dev. uniform) . MXMEDSH |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . WIDTH    |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.12  |   0.00   |  32.45   | 0.00***    |
| Dev. normal) . MXMEDSH  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   | no      | 0.12  |   0.01   |  19.79   | 0.00***    |
| Dev. normal) . ADTLANE  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    | no      | -0.06 |   0.03   |  -1.79   | 0.07.      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB: hetro group 0      |         | -0.16 |   0.10   |  -1.54   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    |         | 0.39  |   0.04   |   8.99   | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -753.0096963973915
--------------------------------------------------------------------------------
bic: 1654.15
--------------------------------------------------------------------------------
MSE: 221.70
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.12 |   0.21   |  -0.56   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.99  |   0.11   |   8.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.01 |   0.02   |  -0.85   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   2.67   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.00  |   0.02   |   0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.29  |   0.10   |   2.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.13  |   0.10   |   1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.01 |   0.12   |  -0.07   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.03   |  -1.71   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.05   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.23 |   0.17   |  -1.36   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.02 |   0.04   |  -0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.11 |   0.22   |  -4.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.19 |   0.08   |  -2.53   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.04 |   0.05   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.89  |   0.01   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) uniform  |         | 0.09  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.32 |   0.01   |  -31.94  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.11  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.04 |   0.00   |  -11.21  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.43 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     | arcsinh | 0.01  |   0.00   |  15.07   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    | no      | 0.15  |   0.19   |   0.77   | 0.44       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF: hetro group 0 | arcsinh | 0.04  |   0.02   |   1.53   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  |         | -0.42 |   0.14   |  -2.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    |         | -0.05 |   0.01   |  -5.94   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -724.9074885540107
--------------------------------------------------------------------------------
bic: 1620.02
--------------------------------------------------------------------------------
MSE: 6397.91
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.15 |   0.27   |  -4.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.20  |   0.13   |   9.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.04  |   0.03   |   1.14   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.53 |   0.19   |  -2.80   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.08  |   0.09   |   0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.01  |   0.01   |   1.22   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.00  |   0.03   |   0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.05   |   3.65   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.01 |   0.21   |  -0.06   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.63  |   0.13   |   4.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.57 |   0.11   |  -5.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.15  |   0.07   |   2.06   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.24  |   0.09   |   2.81   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.01  |   0.18   |   0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.17 |   0.16   |  -1.07   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.20  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -1.47 |   0.01   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.01  |   0.00   |   9.84   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -15.03  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.03  |   0.00   |  15.89   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.00  |   0.00   |   0.61   | 0.54       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | -0.13 |   0.01   |  -12.58  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.02 |   0.00   |  -11.72  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     | arcsinh | 0.15  |   0.02   |   9.30   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    | arcsinh | -0.09 |   0.08   |  -1.17   | 0.24       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES: hetro group 0   | sqrt    | 0.11  |   0.07   |   1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      | log     | -0.36 |   0.09   |  -3.90   | 0.00***    |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 1  |         | -0.27 |   0.07   |  -4.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    |         | -0.20 |   0.06   |  -3.46   | 0.00***    |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      |         | 0.33  |   0.03   |  13.01   | 0.00***    |
| group 1:uniform:sd      |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -738.9370625996972
--------------------------------------------------------------------------------
bic: 1635.79
--------------------------------------------------------------------------------
MSE: 260.07
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.03  |   0.29   |   0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.27  |   0.07   |  18.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.47 |   0.14   |  -3.37   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.02   |   3.83   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.30 |   0.15   |  -1.98   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.04 |   0.15   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.26 |   0.35   |  -3.62   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.19 |   0.10   |  -1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.21  |   0.06   |   3.68   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.17  |   0.13   |   1.39   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.02  |   0.04   |   0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.30 |   0.39   |  -0.79   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.04  |   0.12   |   0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.28  |   0.11   |   2.53   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.03   |   1.24   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.33 |   0.29   |  -1.14   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.18  |   0.09   |   2.02   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.07 |   0.09   |  -0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.05 |   0.13   |  -0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.04  |   0.00   |  24.65   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.01  |   0.00   |   3.35   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.07  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.03  |   0.00   |  16.02   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.06 |   0.00   |  -20.13  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.10 |   0.01   |  -8.25   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.24  |   0.00   |  50.00   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.03  |   0.00   |  19.23   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.22 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) . FC      |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -735.0113612064075
--------------------------------------------------------------------------------
bic: 1601.97
--------------------------------------------------------------------------------
MSE: 414.21
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.83 |   0.27   |  -3.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.20  |   0.16   |   7.67   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.23 |   0.09   |  -2.47   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.00 |   0.03   |  -0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.15 |   0.04   |  -3.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.03 |   0.02   |  -1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.15 |   0.15   |  -0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.60 |   0.13   |  -12.75  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.28  |   0.07   |   4.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.16 |   0.17   |  -0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.02  |   0.01   |   1.29   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.10  |   0.08   |   1.27   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.11  |   0.03   |   4.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.71 |   0.01   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | -0.44 |   0.01   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.10  |   0.00   |  26.42   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.00 |   0.00   |  -1.01   | 0.31       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    | no      | 0.01  |   0.00   |   3.00   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| MXGRADE (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  | arcsinh | -0.18 |   0.13   |  -1.35   | 0.18       |
| 0                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN: hetro group 0    | sqrt    | 0.14  |   0.13   |   1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  |         | -0.01 |   0.00   |  -3.81   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  |         | 0.02  |   0.00   |   8.25   | 0.00***    |
| 0:uniform:sd  hetro     |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -747.7663557803551
--------------------------------------------------------------------------------
bic: 1656.95
--------------------------------------------------------------------------------
MSE: 339.46
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.14 |   0.55   |  -0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.24 |   0.17   |  -1.41   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.12 |   0.17   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.03  |   0.03   |   0.80   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.51 |   0.20   |  -2.51   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.28 |   0.10   |  -2.80   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.11 |   0.31   |  -0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.11 |   0.02   |  -5.04   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.55  |   0.16   |   3.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.12  |   0.11   |   1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   2.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.01  |   0.03   |   0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.04 |   0.02   |  -1.79   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.03   |   0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.37 |   0.09   |  -3.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.21  |   0.06   |   3.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.31  |   0.06   |   4.76   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.29  |   0.09   |   3.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.14  |   0.09   |   1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.25 |   0.17   |  -1.50   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.44 |   0.09   |  -4.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.03 |   0.02   |  -1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.91  |   0.13   |   6.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.01  |   0.00   |   2.97   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.23 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.11  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   0.66   | 0.51       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.04 |   0.01   |  -6.68   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -745.8829460781251
--------------------------------------------------------------------------------
bic: 1670.76
--------------------------------------------------------------------------------
MSE: 532.46
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.57 |   0.21   |  -2.76   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.03  |   0.02   |   1.89   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.50 |   0.10   |  -15.72  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.02 |   0.04   |  -0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.05  |   0.09   |   0.56   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.43 |   0.10   |  -4.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | 0.00  |   0.02   |   0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.09  |   0.01   |   7.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.02   |   3.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.22  |   0.07   |   2.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | -0.04 |   0.06   |  -0.72   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.04 |   0.08   |  -0.55   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.85 |   0.12   |  -7.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.18  |   0.04   |   4.66   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -6.77   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.46  |   0.05   |   9.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | -0.33 |   0.00   |  -50.00  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.01 |   0.00   |  -15.14  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.01  |   0.00   |   1.68   | 0.09.      |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.12 |   0.00   |  -27.77  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.05  |   0.01   |   6.72   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.02 |   0.01   |  -4.62   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | -0.95 |   0.01   |  -50.00  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.03  |   0.00   |  13.69   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.02 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.03  |   0.00   |  16.83   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.56  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.18  |   0.00   |  37.02   | 0.00***    |
| Dev. uniform) . MIMEDSH |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.01 |   0.00   |  -45.75  | 0.00***    |
| Dev. normal) . DECLANES |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.19  |   0.01   |  33.85   | 0.00***    |
| Dev. normal) . MIMEDSH  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.59  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . ADTLANE  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -748.6521151122023
--------------------------------------------------------------------------------
bic: 1662.11
--------------------------------------------------------------------------------
MSE: 270.67
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.64 |   0.67   |  -0.95   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.24  |   0.10   |  11.83   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.20 |   0.18   |  -1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.16 |   0.19   |  -0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.18 |   0.13   |  -1.41   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.30 |   0.20   |  -1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.23  |   0.11   |   2.10   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.07 |   0.06   |  -1.17   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.55 |   0.31   |  -1.78   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.01 |   0.05   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.51  |   0.15   |   3.46   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.04   |  -1.28   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.05   |   0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.09 |   0.08   |  -1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.14 |   0.16   |  -0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.01 |   0.05   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.54 |   0.13   |  -4.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.25 |   0.08   |  -3.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.17  |   0.06   |   2.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.02 |   0.00   |  -8.82   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | -0.01 |   0.00   |  -3.88   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.07  |   0.00   |  14.16   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.13  |   0.00   |  38.16   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.05  |   0.00   |  24.70   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.05  |   0.00   |  33.40   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | 0.06  |   0.01   |   8.57   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -763.0124642649387
--------------------------------------------------------------------------------
bic: 1702.12
--------------------------------------------------------------------------------
MSE: 298.49
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.02 |   0.48   |  -0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.10  |   0.05   |   2.06   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.39 |   0.37   |  -1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.04  |   0.05   |   0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.09  |   0.03   |   2.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.13  |   0.12   |   1.05   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.75 |   0.40   |  -1.87   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.45 |   0.16   |  -2.81   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.00 |   0.01   |  -0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.97  |   0.20   |   4.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.53  |   0.22   |   2.40   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.05   |   0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.02  |   0.06   |   0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.60  |   0.10   |   6.17   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.04  |   0.11   |   0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.27 |   0.01   |  -27.45  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.86 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.03 |   0.00   |  -21.97  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.07 |   0.00   |  -15.29  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.01  |   0.01   |   1.47   | 0.14       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.08 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      | no      | 0.09  |   0.01   |  15.69   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   | sqrt    | -0.00 |   0.29   |  -0.02   | 0.99       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE: hetro group 0   | no      | -0.63 |   0.20   |  -3.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  | no      | -0.20 |   0.10   |  -1.97   | 0.05.      |
| 1                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS: hetro group 1   | arcsinh | -0.67 |   0.23   |  -2.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: CURVES: hetro     | arcsinh | 0.47  |   0.07   |   6.48   | 0.00***    |
| group 2                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 2  |         | -0.36 |   0.15   |  -2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   |         | 0.09  |   0.08   |   1.07   | 0.28       |
| group 0:tn_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  |         | 0.04  |   0.05   |   0.87   | 0.38       |
| 1:lm_normal:sd  hetro   |         |       |          |          |            |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: CURVES: hetro     |         | 0.21  |   0.02   |  14.10   | 0.00***    |
| group 2:uniform:sd      |         |       |          |          |            |
| hetro group 2           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -749.7588272552586
--------------------------------------------------------------------------------
bic: 1670.72
--------------------------------------------------------------------------------
MSE: 430.91
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.11 |   0.40   |  -0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 1.07  |   0.07   |  16.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.11 |   0.09   |  -1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.09 |   0.03   |  -2.78   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.01 |   0.16   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.32  |   0.15   |   2.10   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.01  |   0.09   |   0.12   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.01  |   0.04   |   0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.26  |   0.06   |   4.58   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.05  |   0.03   |   2.09   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.05  |   0.08   |   0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.60 |   0.34   |  -1.78   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   2.63   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.03 |   0.02   |  -1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.19   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.15 |   0.15   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.15 |   0.35   |  -3.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.30 |   0.07   |  -4.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.10  |   0.06   |   1.62   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.24 |   0.09   |  -2.58   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.06  |   0.00   |  35.61   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.02 |   0.00   |  -16.47  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.00  |   0.00   |   1.26   | 0.21       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.00  |   0.00   |  10.51   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.14  |   0.00   |  46.74   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.00 |   0.00   |  -0.48   | 0.63       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | -0.06 |   0.00   |  -50.00  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -748.7066786755347
--------------------------------------------------------------------------------
bic: 1650.43
--------------------------------------------------------------------------------
MSE: 259.11
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.34 |   0.26   |  -1.30   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.26  |   0.13   |   9.33   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.02   |   3.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.02 |   0.02   |  -1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.01 |   0.04   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.00 |   0.04   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.17 |   0.33   |  -3.54   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.18  |   0.06   |   2.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.11 |   0.21   |  -0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.07  |   0.05   |   1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.07  |   0.15   |   0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.10 |   0.05   |  -1.93   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.26 |   0.12   |  -2.10   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.01  |   0.10   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.34 |   0.10   |  -3.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.04  |   0.00   |  20.22   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.14  |   0.01   |  20.07   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.35  |   0.01   |  47.91   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.06  |   0.00   |  34.46   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.31  |   0.01   |  38.66   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.01  |   0.02   |   0.30   | 0.77       |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.04  |   0.00   |  45.99   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.28  |   0.01   |  28.12   | 0.00***    |
| tn_normal) . MIMEDSH    |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.03 |   0.01   |  -5.51   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.01 |   0.00   |  -5.66   | 0.00***    |
| Dev. triangular) . URB  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.10 |   0.00   |  -22.03  | 0.00***    |
| Dev. uniform) . MIMEDSH |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . URB     |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.06  |   0.00   |  14.46   | 0.00***    |
| Dev. uniform) . CURVES  |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -747.6235672090484
--------------------------------------------------------------------------------
bic: 1656.16
--------------------------------------------------------------------------------
MSE: 281.96
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.11  |   0.09   |   1.28   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.97  |   0.10   |   9.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.03 |   0.03   |  -1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | 0.13  |   0.10   |   1.21   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.24 |   0.09   |  -2.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.01 |   0.10   |  -0.08   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.25  |   0.09   |   2.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | -0.01 |   0.08   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.14  |   0.08   |   1.66   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.03  |   0.03   |   1.20   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.14 |   0.13   |  -1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.01 |   0.05   |  -0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.24 |   0.13   |  -9.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.44 |   0.07   |  -6.30   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.17  |   0.06   |   2.62   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.34  |   0.06   |   6.04   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.19  |   0.09   |   2.06   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.03  |   0.02   |   1.39   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.12 |   0.04   |  -3.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.10  |   0.03   |   3.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.08 |   0.08   |  -1.01   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.00  |   0.02   |   0.23   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.04   |  -1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.03  |   0.00   |  27.03   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.00  |   0.00   |   1.27   | 0.20       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.23  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.02 |   0.00   |  -6.18   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -749.3852189137035
--------------------------------------------------------------------------------
bic: 1653.29
--------------------------------------------------------------------------------
MSE: 659.87
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.32 |   0.39   |  -3.42   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.00  |   0.10   |  10.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.39 |   0.07   |  -5.73   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.09  |   0.03   |   3.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.01 |   0.02   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.00  |   0.01   |   0.08   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.03 |   0.04   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.04   |   0.80   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.11  |   0.07   |   1.61   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.53 |   0.13   |  -4.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.07  |   0.05   |   1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.04  |   0.02   |   1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.26 |   0.18   |  -1.50   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.01   |   0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.02 |   0.03   |  -0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.05 |   0.07   |  -0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 1.09  |   0.01   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.01  |   0.00   |   8.30   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.03 |   0.00   |  -16.44  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.27  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -2.89   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | 0.05  |   0.01   |   6.16   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    | sqrt    | -0.08 |   0.01   |  -15.91  | 0.00***    |
| Dev. uniform) . MIMEDSH |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SPEED: hetro      | no      | -0.67 |   0.06   |  -10.94  | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE: hetro group 0  | no      | 0.04  |   0.01   |   2.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE: hetro group 0    |         | 0.06  |   0.06   |   0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| main: SPEED: hetro      |         | -0.04 |   0.03   |  -1.26   | 0.21       |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -717.2011053898261
--------------------------------------------------------------------------------
bic: 1597.71
--------------------------------------------------------------------------------
MSE: 365.34
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.50 |   0.63   |  -0.79   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.02  |   0.10   |  10.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.12 |   0.12   |  -1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.01   |   1.97   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.04   |   0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   2.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.05   |   1.65   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.14  |   0.10   |   1.30   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.05  |   0.03   |   1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.03 |   0.07   |  -0.43   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.25 |   0.14   |  -1.78   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.30 |   0.20   |  -6.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.23  |   0.06   |   3.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.19  |   0.07   |   2.57   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.67 |   0.16   |  -4.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.18 |   0.11   |  -1.65   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.27 |   0.07   |  -3.76   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.01 |   0.00   |  -3.87   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.03  |   0.00   |  28.52   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.05 |   0.01   |  -8.55   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.02  |   0.00   |  11.45   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.05  |   0.00   |  25.03   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.01 |   0.00   |  -7.08   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.09  |   0.00   |  45.43   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.24  |   0.01   |  32.38   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | 0.02  |   0.00   |   3.74   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.02  |   0.00   |  16.28   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.59 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) . INCLANES |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.11  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.02  |   0.00   |  20.16   | 0.00***    |
| Dev. uniform) . DOUBLE  |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -761.059507192272
--------------------------------------------------------------------------------
bic: 1705.61
--------------------------------------------------------------------------------
MSE: 3280.11
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.04  |   0.54   |   0.08   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.14 |   0.20   |  -0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.34 |   0.22   |  -1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.72 |   0.44   |  -1.62   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.05 |   0.05   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.04  |   0.13   |   0.27   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.01  |   0.02   |   0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.00 |   0.04   |  -0.08   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.05  |   0.02   |   2.08   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.01  |   0.03   |   0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.19  |   0.09   |   2.11   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.00 |   0.32   |  -3.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.10 |   0.10   |  -0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.21  |   0.02   |  12.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.10 |   0.04   |  -2.40   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.29 |   0.12   |  -2.52   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.03   |   2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.24 |   0.15   |  -1.61   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.70  |   0.12   |   5.66   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.02 |   0.04   |  -0.65   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.02  |   0.04   |   0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.05 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.18  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | 0.18  |   0.01   |  19.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.05  |   0.00   |  25.36   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.15 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | -0.11 |   0.02   |  -6.32   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.08  |   0.00   |  44.51   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.01  |   0.00   |  11.72   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | -0.53 |   0.01   |  -50.00  | 0.00***    |
| lm_normal) . MXMEDSH    |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.55  |   0.01   |  50.00   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MXMEDSH (Std. Dev.      |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.06 |   0.00   |  -25.92  | 0.00***    |
| Dev. lm_normal) . FC    |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -813.2282961362288
--------------------------------------------------------------------------------
bic: 1797.77
--------------------------------------------------------------------------------
MSE: 354.50
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.92 |   0.88   |  -1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.18 |   0.18   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.78 |   0.17   |  -4.53   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.27 |   0.21   |  -1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.55  |   0.27   |   2.07   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.17 |   0.19   |  -0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.09   |  -0.06   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.01 |   0.02   |  -0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | -0.08 |   0.11   |  -0.73   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | -0.03 |   0.18   |  -0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.17  |   0.16   |   1.06   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.07  |   0.26   |   0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.09  |   0.07   |   1.36   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.36 |   0.12   |  -3.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | 0.05  |   0.10   |   0.55   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | 0.03  |   0.22   |   0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.03   |   1.05   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | -0.01 |   0.03   |  -0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | 0.00  |   0.02   |   0.02   | 0.98       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.00 |   0.01   |  -0.30   | 0.76       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.00 |   0.01   |  -0.29   | 0.78       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.00 |   0.00   |  -0.41   | 0.68       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.04   |  -0.35   | 0.72       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.02  |   0.03   |   0.85   | 0.40       |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.00  |   0.00   |   1.18   | 0.24       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.00  |   0.00   |   0.06   | 0.95       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.00  |   0.00   |   0.39   | 0.69       |
| Dev. uniform) . URB     |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.01 |   0.01   |  -1.06   | 0.29       |
| Dev. normal) . URB      |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.01 |   0.01   |  -1.47   | 0.14       |
| Dev. normal) . PEAKHR   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 1.09  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -758.818007602075
--------------------------------------------------------------------------------
bic: 1669.26
--------------------------------------------------------------------------------
MSE: 297.34
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.12 |   0.76   |  -0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.04  |   0.16   |   6.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.33 |   0.24   |  -1.41   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.21 |   0.23   |  -0.89   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.37 |   0.29   |  -1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.11 |   0.10   |  -1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | 0.01  |   0.26   |   0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.07 |   0.06   |  -1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | -0.16 |   0.27   |  -0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.22  |   0.08   |   2.70   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.03  |   0.03   |   0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.04  |   0.02   |   1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.06  |   0.04   |   1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.91 |   0.35   |  -2.59   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.37 |   0.11   |  -3.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.29  |   0.11   |   2.65   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.10 |   0.03   |  -3.05   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.03   |   2.48   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.00 |   0.02   |  -0.12   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.07  |   0.00   |  46.68   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.61  |   0.01   |  50.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.02  |   0.00   |  15.52   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     | no      | -0.07 |   0.00   |  -33.15  | 0.00***    |
| Dev. uniform) . MXGRADE |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    | arcsinh | 0.11  |   0.04   |   3.13   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   | no      | 0.02  |   0.02   |   0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS: hetro group 0   |         | 0.20  |   0.15   |   1.36   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    |         | 0.03  |   0.02   |   1.91   | 0.06.      |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.5578479602605
--------------------------------------------------------------------------------
bic: 1656.42
--------------------------------------------------------------------------------
MSE: 285.73
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.09 |   0.58   |  -3.61   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.19  |   0.09   |  13.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.05 |   0.07   |  -0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.44 |   0.20   |  -2.19   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.05 |   0.02   |  -1.93   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.43  |   0.17   |   2.57   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.09  |   0.02   |   3.58   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.00  |   0.02   |   0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.05   |   2.24   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.18  |   0.05   |   3.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.07  |   0.09   |   0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.04  |   0.10   |   0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -1.77 |   0.19   |  -9.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.38 |   0.12   |  -3.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.65 |   0.16   |  -4.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.01   |   0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.56  |   0.13   |   4.44   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.05   |   0.12   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.15  |   0.07   |   2.05   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.21 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -1.74 |   0.01   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -4.29   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | 0.38  |   0.01   |  46.53   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.14 |   0.00   |  -37.80  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | 0.03  |   0.00   |  15.46   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.16 |   0.01   |  -11.47  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MXMEDSH (Std. Dev.      |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.39 |   0.01   |  -39.62  | 0.00***    |
| Dev. normal) . MXMEDSH  |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | 0.06  |   0.00   |  23.15   | 0.00***    |
| Dev. normal) . MIGRADE  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -733.7095487850733
--------------------------------------------------------------------------------
bic: 1611.65
--------------------------------------------------------------------------------
MSE: 338.85
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.14 |   0.75   |  -1.53   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.00  |   0.08   |  13.05   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.01  |   0.16   |   0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.14  |   0.09   |   1.50   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.01  |   0.01   |   1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   3.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.06  |   0.04   |   1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.20  |   0.04   |   4.61   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.27  |   0.10   |   2.77   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.01   |  -0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.09 |   0.03   |  -2.72   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.39 |   0.08   |  -4.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.77 |   0.23   |  -3.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.22 |   0.10   |  -2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | -0.05 |   0.00   |  -32.12  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.28  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.05  |   0.00   |  33.69   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.51 |   0.00   |  -50.00  | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   | no      | -0.43 |   0.01   |  -38.81  | 0.00***    |
| lm_normal) . WIDTH      |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    | no      | 0.09  |   0.02   |   4.52   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 0  | no      | -0.02 |   0.04   |  -0.52   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   | arcsinh | -0.46 |   0.16   |  -2.82   | 0.01*      |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES: hetro group 1   | no      | -0.02 |   0.07   |  -0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 1 |         | -0.03 |   0.01   |  -4.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    |         | 0.08  |   0.01   |   6.30   | 0.00***    |
| group 0:tn_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   |         | -0.02 |   0.00   |  -6.33   | 0.00***    |
| group 1:normal:sd       |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -748.1706046315275
--------------------------------------------------------------------------------
bic: 1668.04
--------------------------------------------------------------------------------
MSE: 288.82
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -3.13 |   0.64   |  -4.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.95  |   0.10   |   9.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.29 |   0.23   |  -1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.10 |   0.10   |  -1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.04   |  -0.67   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.39 |   0.21   |  -1.86   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | -0.01 |   0.22   |  -0.03   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.11  |   0.22   |   0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.09  |   0.07   |   1.24   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.11 |   0.08   |  -1.33   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.02 |   0.04   |  -0.59   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -4.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.28  |   0.07   |   4.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.34  |   0.09   |   3.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.00 |   0.04   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.04  |   0.04   |   0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.07  |   0.09   |   0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.23  |   0.06   |   3.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.18 |   0.08   |  -2.13   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.26 |   0.19   |  -1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.19 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.13  |   0.00   |  44.13   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | 0.00  |   0.00   |   0.80   | 0.43       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.11 |   0.00   |  -26.63  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.20  |   0.01   |  39.76   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.15 |   0.00   |  -43.02  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     | no      | -0.16 |   0.02   |  -7.29   | 0.00***    |
| Dev. uniform) . WIDTH   |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   | no      | -0.32 |   0.21   |  -1.51   | 0.13       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH: hetro group 0  | no      | 0.07  |   0.02   |   3.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 |         | -0.05 |   0.01   |  -4.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   |         | 0.04  |   0.00   |   8.81   | 0.00***    |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -799.868911062193
--------------------------------------------------------------------------------
bic: 1742.97
--------------------------------------------------------------------------------
MSE: 330.43
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.81 |   0.45   |  -1.81   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.04  |   0.03   |   1.35   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.07  |   0.05   |   1.36   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.12  |   0.03   |   4.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.02 |   0.02   |  -0.93   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.30  |   0.20   |   1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -4.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.13  |   0.09   |   1.39   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.48 |   0.15   |  -3.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.25 |   0.12   |  -2.09   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.05   |   0.55   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | -0.02 |   0.06   |  -0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.97 |   0.09   |  -10.68  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.18  |   0.05   |   3.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.55  |   0.11   |   5.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.20  |   0.00   |  40.01   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | -0.14 |   0.01   |  -15.56  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.16  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.08 |   0.00   |  -35.25  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.31  |   0.00   |  50.00   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | 0.21  |   0.00   |  50.00   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.15  |   0.00   |  42.67   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.47 |   0.01   |  -50.00  | 0.00***    |
| lm_normal) . SPEED      |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.31 |   0.01   |  -39.09  | 0.00***    |
| Dev. lm_normal) . SPEED |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.22 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) . TRAIN |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -736.6964977514162
--------------------------------------------------------------------------------
bic: 1638.20
--------------------------------------------------------------------------------
MSE: 302.27
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.96 |   0.08   |  -11.28  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.01 |   0.03   |  -0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.49  |   0.12   |   4.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | 0.04  |   0.08   |   0.52   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.14  |   0.05   |   3.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.01   |   3.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.04  |   0.07   |   0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.03 |   0.03   |  -1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.58 |   0.08   |  -7.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.24  |   0.09   |  13.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.22 |   0.07   |  -3.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.33 |   0.06   |  -5.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.10 |   0.02   |  -5.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.06 |   0.06   |  -1.03   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.41 |   0.07   |  -6.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.14  |   0.04   |   3.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.30  |   0.07   |   4.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.13 |   0.08   |  -1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.27 |   0.07   |  -4.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.02 |   0.00   |  -7.82   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.05 |   0.00   |  -45.55  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | -0.30 |   0.00   |  -50.00  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.00 |   0.00   |  -3.07   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.00  |   0.00   |   0.26   | 0.80       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.01  |   0.01   |   1.29   | 0.20       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.22 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.27  |   0.01   |  46.71   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.15 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.13 |   0.01   |  -20.65  | 0.00***    |
| Dev. normal) . DECLANES |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -733.6232199327549
--------------------------------------------------------------------------------
bic: 1645.84
--------------------------------------------------------------------------------
MSE: 2788.16
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.60 |   0.91   |  -0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.38 |   0.19   |  -1.96   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.14  |   0.02   |   7.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.26 |   0.29   |  -4.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.07  |   0.05   |   1.41   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.38 |   0.32   |  -1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.03  |   0.02   |   1.33   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.07 |   0.06   |  -1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.01   |  -0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.13  |   0.09   |   1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.08 |   0.10   |  -0.80   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.47 |   0.12   |  -3.79   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.32  |   0.24   |   1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.19 |   0.17   |  -1.17   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.02 |   0.01   |  -2.35   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.01  |   0.04   |   0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.01   |   3.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | -0.16 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | -0.96 |   0.01   |  -50.00  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.00  |   0.00   |   0.35   | 0.73       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.01 |   0.00   |  -4.26   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -6.29   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.02 |   0.00   |  -13.38  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    | no      | -0.08 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) . MIMEDSH |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     | no      | -0.02 |   0.05   |  -0.50   | 0.61       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR: hetro group 0   | arcsinh | -0.01 |   0.01   |  -0.89   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR: hetro group 0  | arcsinh | 0.05  |   0.07   |   0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     | no      | 1.04  |   0.10   |  10.12   | 0.00***    |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES: hetro group 1 |         | -0.56 |   0.23   |  -2.43   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     |         | 0.03  |   0.01   |   4.41   | 0.00***    |
| group 0:tn_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     |         | 0.02  |   0.02   |   1.19   | 0.24       |
| group 1:uniform:sd      |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -729.5590461382895
--------------------------------------------------------------------------------
bic: 1614.64
--------------------------------------------------------------------------------
MSE: 205.26
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.71 |   0.23   |  -3.03   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.01 |   0.03   |  -0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | 0.04  |   0.23   |   0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.01   |   3.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.48 |   0.32   |  -1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.45 |   0.18   |  -7.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.12 |   0.11   |  -1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | -0.01 |   0.04   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.14  |   0.05   |   2.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.11  |   0.02   |   4.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.08  |   0.04   |   1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.02  |   0.03   |   0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.88  |   0.07   |  11.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.69 |   0.07   |  -9.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.39 |   0.07   |  -5.83   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.03 |   0.00   |  -44.33  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.02 |   0.00   |  -13.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.04  |   0.00   |  17.12   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.23 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | -0.02 |   0.00   |  -20.36  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.25  |   0.00   |  50.00   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.35  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . LENGTH   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.24  |   0.01   |  44.34   | 0.00***    |
| triangular) . LENGTH    |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   | arcsinh | 0.55  |   0.00   |  50.00   | 0.00***    |
| triangular) . INCLANES  |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      | no      | -0.12 |   0.10   |  -1.25   | 0.21       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW: hetro group 0  |         | 0.01  |   0.01   |   0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      |         | 0.01  |   0.02   |   0.40   | 0.69       |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -747.2660464376634
--------------------------------------------------------------------------------
bic: 1656.95
--------------------------------------------------------------------------------
MSE: 357.60
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.71 |   0.73   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.06 |   0.23   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.06   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.04   |   1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.01  |   0.04   |   0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.10 |   0.14   |  -0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.01  |   0.12   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.26  |   0.22   |   5.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.34  |   0.22   |   1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.01  |   0.03   |   0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.00  |   0.02   |   0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.11  |   0.10   |   1.07   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.09   |   1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.11 |   0.05   |  -2.39   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.03   |   1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.04 |   0.04   |  -1.04   | 0.30       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.00 |   0.00   |  -0.14   | 0.89       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -0.12   | 0.90       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.01 |   0.00   |  -2.41   | 0.02*      |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.01  |   0.01   |   0.96   | 0.34       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.00  |   0.01   |   0.20   | 0.84       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.05  |   0.00   |  13.88   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.00 |   0.00   |  -1.80   | 0.07.      |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.03 |   0.00   |  -15.68  | 0.00***    |
| Dev. lm_normal) . FC    |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      | sqrt    | -0.23 |   0.14   |  -1.67   | 0.10       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 | arcsinh | -1.65 |   0.23   |  -7.03   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 0 | no      | 0.20  |   0.08   |   2.57   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      |         | 0.00  |   0.04   |   0.07   | 0.94       |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.17  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -745.957171510018
--------------------------------------------------------------------------------
bic: 1657.72
--------------------------------------------------------------------------------
MSE: 258.59
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.37 |   0.77   |  -0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.98  |   0.11   |   9.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.02   |   3.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.89 |   0.44   |  -2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.19 |   0.13   |  -1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.21 |   0.24   |  -0.89   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.09 |   0.04   |  -2.39   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.35  |   0.23   |   1.50   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.00  |   0.02   |   0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.31  |   0.15   |   2.10   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.16 |   0.26   |  -4.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -4.73   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.05   |   1.45   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.44  |   0.09   |   4.70   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.22 |   0.10   |  -2.18   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.19  |   0.08   |   2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.78   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.72 |   0.10   |  -7.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.00  |   0.01   |   0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.77   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.59   | 0.56       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.30 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   2.18   | 0.03*      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.31  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.03  |   0.00   |  45.96   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.05 |   0.00   |  -14.64  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.04 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.03 |   0.00   |  -29.59  | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.09  |   0.00   |  49.37   | 0.00***    |
| Dev. uniform) . GRADEBR |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -735.238451824684
--------------------------------------------------------------------------------
bic: 1636.29
--------------------------------------------------------------------------------
MSE: 231.83
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.04 |   0.42   |  -0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.99  |   0.14   |   7.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.10  |   0.10   |   0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.02 |   0.04   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.02 |   0.22   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.03   |   2.64   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.01  |   0.07   |   0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.02  |   0.08   |   0.31   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.22 |   0.16   |  -1.35   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.09 |   0.12   |  -9.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.05  |   0.09   |   0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.17  |   0.09   |   1.95   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.19  |   0.10   |   1.90   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.44 |   0.23   |  -1.93   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.03   |   2.56   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.06   |  -0.79   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.22 |   0.09   |  -2.54   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.56 |   0.33   |  -1.70   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | 0.15  |   0.33   |   0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.29 |   0.21   |  -1.40   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.17  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.03  |   0.00   |  22.50   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | -0.02 |   0.00   |  -20.22  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.61  |   0.01   |  43.42   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.01  |   0.00   |   3.96   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.28  |   0.01   |  36.93   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.65 |   0.02   |  -33.18  | 0.00***    |
| normal) . WIDTH (Std.   |         |       |          |          |            |
| Dev.   lm_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.55  |   0.02   |  34.32   | 0.00***    |
| uniform) . WIDTH (Std.  |         |       |          |          |            |
| Dev.   lm_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.02  |   0.01   |   2.89   | 0.00***    |
| uniform) . SPEED (Std.  |         |       |          |          |            |
| Dev.   normal )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -736.0994990628512
--------------------------------------------------------------------------------
bic: 1641.90
--------------------------------------------------------------------------------
MSE: 282.33
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.27 |   0.16   |  -1.70   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.19  |   0.12   |   9.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.65 |   0.08   |  -8.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.05 |   0.14   |  -0.34   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.09  |   0.05   |   1.89   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.00 |   0.05   |  -0.07   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.03 |   0.07   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.33 |   0.10   |  -13.54  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.06   |   2.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.14 |   0.09   |  -1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.26 |   0.12   |  -2.22   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   3.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.05  |   0.02   |   2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.00 |   0.05   |  -0.02   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.13 |   0.06   |  -2.12   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.06  |   0.06   |   0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.02   |   0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.02 |   0.09   |  -0.17   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -1.05 |   0.01   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | 0.96  |   0.01   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.13 |   0.00   |  -43.60  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.03 |   0.00   |  -8.81   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.00 |   0.00   |  -2.13   | 0.03*      |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.02 |   0.01   |  -2.94   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.01  |   0.00   |   2.14   | 0.03*      |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     | log     | 0.02  |   0.00   |   8.90   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DOUBLE: hetro     | no      | 0.04  |   0.23   |   0.17   | 0.87       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 0  | no      | 0.04  |   0.05   |   0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS: hetro group 0   |         | -0.29 |   0.19   |  -1.54   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| main: DOUBLE: hetro     |         | 0.18  |   0.03   |   5.87   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -769.5374017452501
--------------------------------------------------------------------------------
bic: 1715.17
--------------------------------------------------------------------------------
MSE: 2471.61
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.33 |   0.55   |  -0.59   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.26 |   0.16   |  -1.65   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.01 |   0.12   |  -0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.84 |   0.37   |  -2.28   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.17 |   0.12   |  -1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.13 |   0.04   |  -2.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.05 |   0.28   |  -0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.05  |   0.03   |   1.78   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.23  |   0.09   |   2.53   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.48 |   0.18   |  -2.61   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.34  |   0.05   |   6.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | -0.03 |   0.08   |  -0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.11  |   0.03   |   3.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.64  |   0.15   |   4.17   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.06  |   0.02   |   2.52   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.50 |   0.40   |  -1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.70 |   0.25   |  -2.78   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.10  |   0.02   |   6.42   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.03   |   0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.14  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.03  |   0.00   |  18.55   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.02  |   0.00   |  33.28   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.13 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.19  |   0.00   |  50.00   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.02 |   0.00   |  -42.10  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.08 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) . WIDTH |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.01 |   0.00   |  -5.40   | 0.00***    |
| Dev. lm_normal) . WIDTH |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     | no      | 0.03  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| GRADEBR (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      | no      | -0.08 |   0.06   |  -1.27   | 0.21       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 0  |         | 0.02  |   0.06   |   0.35   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      |         | -0.09 |   0.03   |  -3.16   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -765.4688297504147
--------------------------------------------------------------------------------
bic: 1664.38
--------------------------------------------------------------------------------
MSE: 450.55
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.05 |   0.16   |  -0.34   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.09  |   0.14   |   8.04   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.19 |   0.18   |  -1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.05  |   0.10   |   0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.04 |   0.08   |  -0.56   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.12 |   0.11   |  -1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.09 |   0.06   |  -1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.26 |   0.16   |  -1.60   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.50  |   0.09   |   5.66   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.04  |   0.01   |   3.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.00  |   0.07   |   0.03   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.04   |   1.70   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.21 |   0.09   |  -2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.02   |   1.66   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.14 |   0.28   |  -4.03   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.57 |   0.11   |  -4.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.29  |   0.05   |   5.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.31  |   0.08   |   4.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.03  |   0.17   |   0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.03 |   0.03   |  -1.19   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.08 |   0.04   |  -2.06   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.56  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.01  |   0.00   |   2.98   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -747.2551685020452
--------------------------------------------------------------------------------
bic: 1677.11
--------------------------------------------------------------------------------
MSE: 315.36
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.49 |   0.75   |  -0.65   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.88  |   0.16   |   5.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.00  |   0.34   |   0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.25 |   0.16   |  -1.58   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.19 |   0.17   |  -1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | 0.02  |   0.07   |   0.26   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.21 |   0.18   |  -1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.04  |   0.04   |   1.07   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.03  |   0.23   |   0.13   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.07 |   0.32   |  -0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.04   |   1.69   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.35 |   0.23   |  -1.56   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.31  |   0.22   |   1.40   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.01  |   0.02   |   0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.26 |   0.14   |  -1.88   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.05 |   0.12   |  -0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.40 |   0.18   |  -2.22   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.00 |   0.03   |  -0.07   | 0.94       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.38   | 0.71       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.00 |   0.00   |  -0.14   | 0.89       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -0.31   | 0.76       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.00  |   0.00   |   0.12   | 0.90       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.00  |   0.00   |   0.11   | 0.91       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   0.22   | 0.83       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.00 |   0.02   |  -0.07   | 0.94       |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.00  |   0.00   |   0.53   | 0.60       |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.00 |   0.01   |  -0.22   | 0.83       |
| Dev. triangular) .      |         |       |          |          |            |
| CURVES (Std. Dev.       |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      | sqrt    | -0.14 |   0.15   |  -0.91   | 0.36       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 0 | no      | 0.20  |   0.09   |   2.15   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      |         | 0.00  |   0.08   |   0.01   | 1.00       |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.10  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -795.2790362004207
--------------------------------------------------------------------------------
bic: 1753.37
--------------------------------------------------------------------------------
MSE: 321.78
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.17 |   0.68   |  -3.17   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.48 |   0.19   |  -2.58   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.21  |   0.07   |   2.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.08  |   0.03   |   3.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.15  |   0.03   |   5.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -3.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.01  |   0.06   |   0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.20  |   0.10   |   1.90   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.02   |   0.18   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.74 |   0.14   |  -5.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.03   |   2.54   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.28 |   0.11   |  -2.52   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.35 |   0.23   |  -1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.05  |   0.03   |   1.61   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.11 |   0.18   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.12  |   0.05   |   2.48   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | -1.32 |   0.24   |  -5.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.60  |   0.07   |   8.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.25  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.03 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 1.09  |   0.01   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.02  |   0.00   |   7.09   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.21  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.13 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.24  |   0.01   |  45.63   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.31  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.05  |   0.00   |  24.91   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.02 |   0.01   |  -2.43   | 0.02*      |
| Dev. uniform) . FC      |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.18 |   0.01   |  -21.91  | 0.00***    |
| Dev. lm_normal) . FC    |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.28 |   0.01   |  -36.65  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| PEAKHR (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -774.253752334433
--------------------------------------------------------------------------------
bic: 1696.64
--------------------------------------------------------------------------------
MSE: 275.19
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.35 |   0.49   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.01  |   0.19   |   0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.14 |   0.05   |  -3.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | 0.06  |   0.18   |   0.34   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.06  |   0.02   |   3.73   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.56  |   0.07   |   8.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.02 |   0.01   |  -1.84   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | -0.01 |   0.03   |  -0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.19 |   0.23   |  -0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.33 |   0.11   |  -2.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.38  |   0.19   |   2.04   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.91 |   0.17   |  -5.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.47  |   0.06   |   7.54   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.80 |   0.33   |  -2.44   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.96 |   0.37   |  -2.60   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -1.35 |   0.01   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.50 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.16  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.19 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.08 |   0.00   |  -40.65  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.80  |   0.01   |  50.00   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.03  |   0.00   |  22.04   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. | arcsinh | -0.74 |   0.01   |  -50.00  | 0.00***    |
| uniform) . WIDTH (Std.  |         |       |          |          |            |
| Dev.   normal )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    | no      | 0.67  |   0.16   |   4.06   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN: hetro group 0    | no      | 0.16  |   0.04   |   3.53   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 |         | 0.06  |   0.05   |   1.20   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    |         | 0.26  |   0.04   |   6.02   | 0.00***    |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -748.7774192598267
--------------------------------------------------------------------------------
bic: 1667.76
--------------------------------------------------------------------------------
MSE: 229.60
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.12 |   0.75   |  -0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.42  |   0.16   |   8.83   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.04  |   0.11   |   0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.12 |   0.20   |  -0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.02 |   0.21   |  -0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.04  |   0.03   |   1.14   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.08 |   0.09   |  -0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -3.04   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.06  |   0.03   |   1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.51 |   0.12   |  -4.39   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.34  |   0.12   |   2.77   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.65 |   0.38   |  -1.69   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.04   |  -0.23   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.00 |   0.25   |  -0.02   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | -0.05 |   0.09   |  -0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.13  |   0.08   |   1.66   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.33   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.09  |   0.06   |   1.40   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.05 |   0.06   |  -0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.16 |   0.35   |  -3.30   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.13 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.07 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.06  |   0.01   |   9.69   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.03  |   0.00   |  18.36   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.04  |   0.00   |   9.74   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.21  |   0.01   |  35.98   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.14  |   0.01   |  18.38   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.07 |   0.00   |  -37.07  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -755.5355548336379
--------------------------------------------------------------------------------
bic: 1697.45
--------------------------------------------------------------------------------
MSE: 221.23
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.31 |   0.32   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.29 |   0.11   |  -2.67   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.04  |   0.03   |   1.43   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.35 |   0.09   |  -3.70   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.04   |  -0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.21 |   0.20   |  -1.06   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.94  |   0.19   |   4.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.01   |   3.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.40  |   0.06   |   7.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.67 |   0.33   |  -2.05   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.11 |   0.03   |  -3.42   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.36  |   0.05   |   6.66   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.03  |   0.05   |   0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.04  |   0.02   |   1.58   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.07  |   0.06   |   1.20   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.10  |   0.02   |   5.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.40  |   0.07   |   5.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.33 |   0.09   |  -3.61   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.47 |   0.01   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.00 |   0.00   |  -0.94   | 0.35       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.03 |   0.00   |  -16.60  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.10 |   0.00   |  -27.08  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.11 |   0.00   |  -39.72  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | -0.09 |   0.00   |  -43.56  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.32 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.02  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.34 |   0.01   |  -50.00  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MXMEDSH (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.17  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MXMEDSH (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    | log     | 0.11  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| CURVES (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      | no      | -0.63 |   0.22   |  -2.82   | 0.01*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS: hetro group 0   |         | -0.42 |   0.17   |  -2.46   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      |         | 0.20  |   0.03   |   6.57   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -738.9046059964218
--------------------------------------------------------------------------------
bic: 1646.51
--------------------------------------------------------------------------------
MSE: 2722.68
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.62 |   0.16   |  -3.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.28 |   0.12   |  -2.30   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.08  |   0.02   |   3.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.02  |   0.01   |   1.65   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.02 |   0.06   |  -0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.08  |   0.03   |   2.43   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -4.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.21  |   0.08   |   2.71   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | 0.03  |   0.04   |   0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.83 |   0.18   |  -4.63   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.11  |   0.02   |   4.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.27 |   0.14   |  -1.93   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.31 |   0.07   |  -4.77   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.98  |   0.07   |  14.46   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.05 |   0.03   |  -1.75   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.02 |   0.03   |  -0.64   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.22  |   0.05   |   4.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.03  |   0.00   |  17.58   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.01  |   0.00   |  17.59   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.10 |   0.00   |  -25.62  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.03 |   0.00   |  -44.71  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | 0.05  |   0.00   |  19.01   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.02 |   0.00   |  -15.52  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.19  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . LENGTH   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.19 |   0.00   |  -50.00  | 0.00***    |
| uniform) . LENGTH (Std. |         |       |          |          |            |
| Dev.   normal )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | 0.19  |   0.00   |  50.00   | 0.00***    |
| uniform) . MIMEDSH      |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.03 |   0.00   |  -25.44  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.30  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.08 |   0.00   |  -34.53  | 0.00***    |
| Dev. lm_normal) . TRAIN |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -755.3919012886215
--------------------------------------------------------------------------------
bic: 1679.99
--------------------------------------------------------------------------------
MSE: 1238.13
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.25 |   0.38   |  -0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.21  |   0.03   |   6.62   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.36 |   0.26   |  -1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.09  |   0.03   |   3.25   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.25 |   0.09   |  -2.83   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.12  |   0.04   |   3.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | 0.00  |   0.05   |   0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.00  |   0.02   |   0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.40 |   0.15   |  -2.69   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.30  |   0.09   |   3.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.38 |   0.27   |  -1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.40  |   0.20   |   1.98   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.07  |   0.03   |   2.16   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.02 |   0.01   |  -1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.03   |  -0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.02 |   0.13   |  -7.60   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.04 |   0.03   |  -1.66   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.22  |   0.08   |   2.73   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.19  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.01  |   0.00   |   8.98   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.01 |   0.00   |  -2.94   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.00  |   0.00   |  25.80   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.01  |   0.00   |   5.05   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.35  |   0.00   |  50.00   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.06 |   0.00   |  -33.43  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.08  |   0.00   |  32.49   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.11 |   0.00   |  -50.00  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| SPEED (Std. Dev.        |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.35 |   0.01   |  -50.00  | 0.00***    |
| Dev. normal) . SPEED    |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.12  |   0.01   |  15.79   | 0.00***    |
| Dev. normal) . DOUBLE   |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -758.1016834269876
--------------------------------------------------------------------------------
bic: 1691.30
--------------------------------------------------------------------------------
MSE: 5252.09
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.41 |   0.56   |  -0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.28 |   0.13   |  -2.09   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.13 |   0.17   |  -0.80   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.07   |  -0.53   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.06 |   0.19   |  -0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   2.25   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.37  |   0.05   |   6.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.08 |   0.08   |  -1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.08  |   0.01   |   7.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.30 |   0.17   |  -1.78   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.15 |   0.36   |  -3.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.38  |   0.53   |   0.72   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.06  |   0.05   |   1.07   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.35 |   0.09   |  -3.77   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.05  |   0.10   |   0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.01 |   0.00   |  -23.04  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.17 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.01  |   0.00   |  15.60   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.79 |   0.01   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.01 |   0.00   |  -2.98   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.03 |   0.00   |  -12.55  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.02  |   0.00   |   5.71   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.09 |   0.00   |  -20.42  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| PEAKHR (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.33  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| PEAKHR (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.15 |   0.01   |  -21.02  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| TANGENT (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.03  |   0.00   |  27.57   | 0.00***    |
| Dev. uniform) . PEAKHR  |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.01  |   0.01   |   2.59   | 0.01*      |
| Dev. uniform) . TANGENT |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     | arcsinh | -0.07 |   0.01   |  -5.45   | 0.00***    |
| Dev. uniform) . ADTLANE |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: CURVES: hetro     | arcsinh | 0.28  |   0.07   |   3.84   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   |         | 0.01  |   0.03   |   0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| main: CURVES: hetro     |         | -0.04 |   0.01   |  -2.95   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -754.358234116139
--------------------------------------------------------------------------------
bic: 1689.21
--------------------------------------------------------------------------------
MSE: 581.00
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.15 |   0.81   |  -1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.37 |   0.19   |  -1.89   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.03 |   0.01   |  -3.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.05   |  -0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.37 |   0.21   |  -1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.00  |   0.01   |   0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.28   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.15  |   0.15   |   1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.08  |   0.04   |   1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.58 |   0.08   |  -7.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.06   |   2.05   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.12 |   0.23   |  -0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.01  |   0.04   |   0.30   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.02  |   0.07   |   0.35   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.02 |   0.01   |  -2.20   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 1.10  |   0.11   |  10.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.02  |   0.09   |   0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.46  |   0.17   |   2.70   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.03  |   0.00   |  16.09   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.03  |   0.00   |  49.42   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.01 |   0.01   |  -1.35   | 0.18       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -30.39  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.49 |   0.01   |  -50.00  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.20  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.00 |   0.00   |  -4.32   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.19  |   0.01   |  29.47   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.29 |   0.01   |  -29.45  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.62  |   0.01   |  50.00   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| CURVES (Std. Dev.       |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | -0.02 |   0.00   |  -19.60  | 0.00***    |
| Dev. uniform) . LENGTH  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.19  |   0.00   |  40.20   | 0.00***    |
| Dev. uniform) . CURVES  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.25  |   0.01   |  45.79   | 0.00***    |
| Dev. uniform) . MINRAD  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -751.5752938839273
--------------------------------------------------------------------------------
bic: 1667.96
--------------------------------------------------------------------------------
MSE: 247.60
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.44 |   0.23   |  -10.75  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.14  |   0.12   |   9.62   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.01 |   0.03   |  -0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.08  |   0.05   |   1.45   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.09  |   0.03   |   3.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.09 |   0.21   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.21  |   0.05   |   3.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.09  |   0.03   |   3.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.63 |   0.13   |  -4.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.10  |   0.03   |   3.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.00  |   0.05   |   0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | -0.37 |   0.15   |  -2.49   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.13  |   0.06   |   2.07   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.08 |   0.09   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.08 |   0.06   |  -1.36   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.16 |   0.11   |  -1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.55 |   0.06   |  -8.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.14 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.07  |   0.00   |  48.98   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) uniform  |         | 0.00  |   0.00   |   1.78   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.06  |   0.00   |  27.33   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.00  |   0.00   |   1.24   | 0.22       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.04 |   0.00   |  -23.02  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.17  |   0.01   |  15.72   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.89  |   0.01   |  50.00   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    | log     | 0.02  |   0.00   |  22.87   | 0.00***    |
| Dev. normal) . URB      |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     | no      | -0.34 |   0.16   |  -2.08   | 0.04*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 |         | 0.03  |   0.04   |   0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     |         | 0.05  |   0.03   |   1.37   | 0.17       |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -732.0360901740796
--------------------------------------------------------------------------------
bic: 1639.67
--------------------------------------------------------------------------------
MSE: 250.22
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.48 |   0.68   |  -0.70   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.02 |   0.03   |  -0.67   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.54 |   0.28   |  -1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.07 |   0.04   |  -1.73   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.08 |   0.18   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.19  |   0.07   |   2.68   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.01 |   0.01   |  -0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.03   |   2.29   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.15  |   0.21   |   0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -4.30   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.10  |   0.05   |   1.82   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.06  |   0.10   |   0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.17  |   0.11   |  10.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.01  |   0.02   |   0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.00 |   0.05   |  -0.07   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.02   |   0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.08 |   0.03   |  -2.48   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.06 |   0.07   |  -0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.42 |   0.43   |  -3.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.14 |   0.00   |  -28.78  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.02 |   0.01   |  -3.10   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -3.05   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | 0.12  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.08 |   0.00   |  -25.26  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.01  |   0.00   |  12.09   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.49  |   0.01   |  50.00   | 0.00***    |
| Dev. normal) . DOUBLE   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.61 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) . DOUBLE   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   | no      | 0.07  |   0.00   |  47.78   | 0.00***    |
| Dev. normal) . CURVES   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  | no      | -0.20 |   0.09   |  -2.14   | 0.03*      |
| 0                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 0 |         | 0.18  |   0.08   |   2.29   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  |         | 0.27  |   0.06   |   4.28   | 0.00***    |
| 0:normal:sd  hetro      |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -735.9546750713212
--------------------------------------------------------------------------------
bic: 1664.19
--------------------------------------------------------------------------------
MSE: 23105.64
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.84 |   0.63   |  -1.33   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.99  |   0.10   |  10.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.11 |   0.18   |  -0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.83 |   0.27   |  -3.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.04   |  -1.73   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.03 |   0.04   |  -0.73   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.27 |   0.19   |  -1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.04  |   0.02   |   1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.34 |   0.17   |  -2.05   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.01 |   0.04   |  -0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -3.42   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.07  |   0.05   |   1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.05   |   3.53   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.39 |   0.09   |  -4.17   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.19 |   0.10   |  -1.85   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.24  |   0.20   |   1.20   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.01 |   0.01   |  -1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.03  |   0.17   |   0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.34  |   0.15   |   2.34   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.24 |   0.07   |  -3.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.02   |   0.03   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.07 |   0.00   |  -37.84  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.06  |   0.00   |  14.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.01  |   0.00   |   4.56   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.00 |   0.00   |  -2.37   | 0.02*      |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | -1.20 |   0.01   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | -1.11 |   0.01   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.04 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.01 |   0.00   |  -7.31   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | 0.99  |   0.01   |  50.00   | 0.00***    |
| Dev. normal) . INCLANES |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.04  |   0.00   |  19.79   | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.01  |   0.00   |   7.98   | 0.00***    |
| Dev. uniform) . MXMEDSH |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.30  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.03  |   0.00   |  16.84   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MXMEDSH (Std. Dev.      |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.03  |   0.00   |   8.91   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| ADTLANE (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -766.3803600602189
--------------------------------------------------------------------------------
bic: 1680.89
--------------------------------------------------------------------------------
MSE: 550.06
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.77 |   0.33   |  -2.32   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.00 |   0.05   |  -0.04   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.71   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.08  |   0.03   |   2.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | -0.03 |   0.05   |  -0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.45  |   0.05   |   9.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.05  |   0.12   |   0.39   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.43  |   0.09   |   4.58   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.09 |   0.36   |  -3.05   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.20  |   0.11   |   1.87   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.03   |  -0.62   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.74 |   0.12   |  -5.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.04   |  -1.14   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.94  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.05  |   0.00   |  14.78   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.08 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.14  |   0.00   |  49.38   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -1.78   | 0.08.      |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | -0.50 |   0.01   |  -42.46  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.06  |   0.00   |  30.67   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    | arcsinh | 0.11  |   0.01   |  12.51   | 0.00***    |
| triangular) . DECLANES  |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    | no      | 0.50  |   0.15   |   3.43   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB: hetro group 0      | arcsinh | -0.13 |   0.12   |  -1.10   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR: hetro group 0   | no      | 0.29  |   0.29   |   0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 0  | arcsinh | -0.03 |   0.04   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  |         | -0.49 |   0.10   |  -4.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    |         | -0.10 |   0.01   |  -15.16  | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -745.7655875948726
--------------------------------------------------------------------------------
bic: 1655.84
--------------------------------------------------------------------------------
MSE: 694.44
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.37 |   0.25   |  -1.45   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.11 |   0.04   |  -2.73   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.84 |   0.10   |  -8.30   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.08 |   0.03   |  -2.35   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.01 |   0.04   |  -0.12   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.12  |   0.08   |   1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.09  |   0.04   |   1.97   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.13  |   0.05   |   2.76   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | 0.04  |   0.05   |   0.75   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.13  |   0.07   |  16.49   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.11  |   0.11   |   1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.18 |   0.08   |  -2.18   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.81   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.02   |  -0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.03 |   0.09   |  -11.05  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.49 |   0.11   |  -4.48   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.26 |   0.09   |  -2.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.03  |   0.04   |   0.79   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.02  |   0.00   |   7.98   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.04  |   0.00   |  16.82   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -7.50   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.00  |   0.00   |   0.83   | 0.41       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.08 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.07  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.86 |   0.00   |  -50.00  | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.09 |   0.00   |  -30.19  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.10  |   0.00   |  22.10   | 0.00***    |
| tn_normal) . DECLANES   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.05  |   0.00   |  17.52   | 0.00***    |
| Dev. normal) . DECLANES |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.08  |   0.00   |  22.63   | 0.00***    |
| Dev. normal) . URB      |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -735.8894306195832
--------------------------------------------------------------------------------
bic: 1624.80
--------------------------------------------------------------------------------
MSE: 286.44
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.12 |   0.27   |  -4.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.46 |   0.14   |  -3.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.66 |   0.23   |  -2.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.02  |   0.03   |   0.75   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.17 |   0.11   |  -1.58   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.05 |   0.05   |  -1.07   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.05 |   0.06   |  -0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.31 |   0.08   |  -3.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.44  |   0.13   |   3.44   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.10  |   0.07   |   1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.02   |   2.82   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.06  |   0.05   |   1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.33  |   0.12   |  11.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.29  |   0.11   |   2.55   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.04 |   0.06   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.66  |   0.01   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.11  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.04  |   0.00   |  18.15   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.18  |   0.01   |  30.40   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.25 |   0.01   |  -35.80  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.14  |   0.00   |  45.14   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.00  |   0.00   |   1.11   | 0.27       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.38  |   0.01   |  50.00   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.12  |   0.01   |  19.68   | 0.00***    |
| Dev. normal) . LENGTH   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    | no      | 0.02  |   0.00   |   5.07   | 0.00***    |
| Dev. normal) . AVEPRE   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      | sqrt    | -0.03 |   0.03   |  -1.10   | 0.27       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 |         | -0.40 |   0.10   |  -3.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      |         | -0.11 |   0.02   |  -5.59   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -761.0203868226818
--------------------------------------------------------------------------------
bic: 1672.67
--------------------------------------------------------------------------------
MSE: 317.37
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.63 |   1.21   |  -2.18   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.11  |   0.03   |   3.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.08 |   0.19   |  -0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.06   |  -0.17   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.04   |   1.40   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.51 |   0.14   |  -3.68   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.34  |   0.09   |   3.63   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.01   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.34  |   0.24   |   1.43   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.01   |   1.41   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.28  |   0.09   |   3.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.51 |   0.24   |  -2.12   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.10 |   0.15   |  -0.65   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.20 |   0.27   |  -0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.01   |   0.24   | 0.81       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.00  |   0.00   |   0.63   | 0.53       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.00  |   0.01   |   0.26   | 0.80       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | -1.29 |   0.02   |  -50.00  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.02 |   0.02   |  -1.21   | 0.23       |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.00 |   0.00   |  -0.28   | 0.78       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.12  |   0.02   |   6.86   | 0.00***    |
| normal) . DECLANES      |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | 1.18  |   0.02   |  47.53   | 0.00***    |
| Dev. normal) . DECLANES |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | 0.00  |   0.00   |   0.21   | 0.83       |
| Dev. normal) . URB      |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     | no      | -0.06 |   0.07   |  -0.89   | 0.38       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS: hetro group 0   | no      | -0.20 |   0.26   |  -0.75   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     |         | -0.00 |   0.06   |  -0.02   | 0.99       |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.68  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -748.1057101500702
--------------------------------------------------------------------------------
bic: 1660.52
--------------------------------------------------------------------------------
MSE: 1351.83
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.81 |   0.13   |  -6.42   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.27 |   0.08   |  -3.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.07  |   0.08   |   0.89   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.07 |   0.15   |  -0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | -0.04 |   0.07   |  -0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.57 |   0.16   |  -3.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.63 |   0.14   |  -12.01  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.07 |   0.08   |  -0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.04  |   0.12   |   9.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.12 |   0.07   |  -1.73   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.00  |   0.03   |   0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.02   |   0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.31 |   0.09   |  -3.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | -0.00 |   0.01   |  -0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.22  |   0.06   |   3.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.05 |   0.00   |  -27.31  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.01 |   0.00   |  -2.93   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.03  |   0.00   |  41.89   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.01  |   0.00   |   6.69   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.64  |   0.01   |  50.00   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.00 |   0.00   |  -7.20   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.01 |   0.00   |  -21.12  | 0.00***    |
| Dev. normal) . URB      |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.16  |   0.00   |  38.20   | 0.00***    |
| Dev. normal) . URB      |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   | arcsinh | 0.19  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . PEAKHR   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXGRADE: hetro    | arcsinh | 0.10  |   0.02   |   4.67   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF: hetro group 0 |         | 0.18  |   0.07   |   2.65   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXGRADE: hetro    |         | 0.07  |   0.04   |   1.61   | 0.11       |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -748.8549580697525
--------------------------------------------------------------------------------
bic: 1657.23
--------------------------------------------------------------------------------
MSE: 309.81
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.90 |   0.79   |  -2.39   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.04  |   0.13   |   7.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.17 |   0.23   |  -0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.02 |   0.16   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.35 |   0.33   |  -1.07   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.10  |   0.19   |   0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.03   |   2.04   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.14  |   0.12   |   1.22   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.08  |   0.35   |   0.22   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.09 |   0.10   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.04   |   1.83   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.05 |   0.15   |  -0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.70 |   0.19   |  -3.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.22 |   0.10   |  -2.10   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.33 |   0.14   |  -2.42   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.17 |   0.01   |  -24.78  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.21   | 0.84       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.01   |  -0.03   | 0.97       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -0.05   | 0.96       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.00 |   0.00   |  -0.13   | 0.90       |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.01 |   0.01   |  -0.55   | 0.58       |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.00 |   0.01   |  -0.11   | 0.91       |
| normal) . WIDTH (Std.   |         |       |          |          |            |
| Dev.   triangular )     |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | arcsinh | 0.10  |   0.17   |   0.58   | 0.57       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   | arcsinh | 0.03  |   0.04   |   0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 | no      | -0.02 |   0.09   |  -0.22   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | 0.05  |   0.03   |   1.55   | 0.12       |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.50  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -738.4828516289398
--------------------------------------------------------------------------------
bic: 1646.17
--------------------------------------------------------------------------------
MSE: 5186.12
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.20  |   0.19   |   1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.84  |   0.09   |   9.63   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.34 |   0.12   |  -2.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.43  |   0.12   |   3.56   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.59 |   0.16   |  -3.65   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.23 |   0.09   |  -2.72   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.08  |   0.03   |   2.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.10  |   0.08   |   1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.77 |   0.18   |  -4.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.31 |   0.06   |  -5.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.18  |   0.06   |   3.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.65 |   0.08   |  -7.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.01   |   2.38   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.17  |   0.06   |   2.64   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.11 |   0.07   |  -1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.05  |   0.05   |   0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.31  |   0.09   |   3.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.01   |  -1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | -0.00 |   0.07   |  -0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 1.03  |   0.01   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.01  |   0.00   |  17.07   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.11  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | 0.11  |   0.00   |  24.37   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.14 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.20  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   2.35   | 0.02*      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    | sqrt    | -0.04 |   0.00   |  -22.44  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      | log     | -0.02 |   0.05   |  -0.44   | 0.66       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE: hetro group 0   | no      | -0.06 |   0.11   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 |         | -0.02 |   0.03   |  -0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      |         | -0.34 |   0.04   |  -8.76   | 0.00***    |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -740.6527860031541
--------------------------------------------------------------------------------
bic: 1640.72
--------------------------------------------------------------------------------
MSE: 643.62
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.18 |   0.22   |  -0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.13  |   0.01   |   9.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.39 |   0.12   |  -3.16   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.30 |   0.14   |  -2.23   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.04 |   0.04   |  -1.10   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.59  |   0.10   |   6.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.07  |   0.04   |   1.83   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.10 |   0.10   |  -1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.24 |   0.09   |  -2.79   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.07  |   0.05   |   1.45   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.01   |   2.28   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.09  |   0.02   |   3.51   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.02  |   0.02   |   1.12   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.21 |   0.14   |  -1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.60 |   0.19   |  -3.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.31  |   0.04   |   6.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.42 |   0.10   |  -4.17   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.19 |   0.07   |  -2.60   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.45 |   0.07   |  -6.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.06 |   0.00   |  -29.39  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -1.22 |   0.01   |  -50.00  | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.22  |   0.02   |   9.11   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.02  |   0.00   |  19.58   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.21 |   0.01   |  -27.92  | 0.00***    |
| triangular) . SPEED     |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.64  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . SPEED   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    | arcsinh | -0.10 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) . URB     |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MINRAD: hetro     | log     | 0.05  |   0.02   |   2.80   | 0.01*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE: hetro group 0   |         | 0.31  |   0.10   |   3.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: MINRAD: hetro     |         | 0.07  |   0.02   |   3.34   | 0.00***    |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -740.3526594010485
--------------------------------------------------------------------------------
bic: 1644.51
--------------------------------------------------------------------------------
MSE: 373.50
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.60 |   0.84   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.06  |   0.07   |  14.77   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.05 |   0.05   |  -1.14   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   2.67   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.62   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.41 |   0.19   |  -2.17   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.54 |   0.23   |  -6.67   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.26  |   0.09   |   2.79   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.06 |   0.05   |  -1.22   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.61 |   0.09   |  -6.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.04 |   0.04   |  -1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.25  |   0.16   |   1.54   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.04  |   0.03   |   1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.05   |   2.07   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.11  |   0.06   |   1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.02 |   0.03   |  -0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.01 |   0.01   |  -0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.37 |   0.11   |  -3.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.26 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.01 |   0.00   |  -5.88   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -2.07   | 0.04*      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.03  |   0.00   |  17.48   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.10  |   0.00   |  34.48   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.36 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.25  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.00 |   0.00   |  -5.37   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.50  |   0.00   |  50.00   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.01 |   0.00   |  -28.02  | 0.00***    |
| uniform) . MIMEDSH      |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.68  |   0.02   |  36.88   | 0.00***    |
| normal) . MIMEDSH (Std. |         |       |          |          |            |
| Dev.   triangular )     |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.49 |   0.01   |  -38.96  | 0.00***    |
| normal) . SPEED (Std.   |         |       |          |          |            |
| Dev.   uniform )        |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -744.5357719699538
--------------------------------------------------------------------------------
bic: 1665.17
--------------------------------------------------------------------------------
MSE: 325.82
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.20 |   0.45   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.18  |   0.11   |  10.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.06 |   0.03   |  -2.29   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.15 |   0.19   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.02   |   3.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.04  |   0.04   |   1.01   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.05  |   0.04   |   1.45   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.12 |   0.29   |  -3.83   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.33  |   0.06   |   5.66   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | -0.07 |   0.22   |  -0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.00 |   0.04   |  -0.00   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.04  |   0.03   |   1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.08 |   0.10   |  -0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.39 |   0.19   |  -2.08   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.37 |   0.08   |  -4.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.06   |   1.35   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.33  |   0.11   |   3.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.02 |   0.01   |  -2.35   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.18 |   0.13   |  -1.35   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.06  |   0.00   |  38.52   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.09 |   0.01   |  -16.56  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | 0.00  |   0.00   |   2.77   | 0.01*      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.00  |   0.00   |   0.88   | 0.38       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.01 |   0.00   |  -2.46   | 0.01*      |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.03  |   0.01   |   4.32   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.13  |   0.00   |  43.56   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.01  |   0.00   |  31.93   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.27 |   0.01   |  -24.01  | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.56  |   0.01   |  43.03   | 0.00***    |
| uniform) . WIDTH (Std.  |         |       |          |          |            |
| Dev.   uniform )        |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -732.9386086972279
--------------------------------------------------------------------------------
bic: 1627.29
--------------------------------------------------------------------------------
MSE: 1032.43
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.50 |   0.58   |  -0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.36  |   0.10   |  13.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.22 |   0.14   |  -1.56   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.19 |   0.09   |  -2.05   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.27  |   0.33   |   0.80   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.26  |   0.37   |   0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.04   |  -0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.04  |   0.02   |   1.61   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.02 |   0.02   |  -1.30   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.11 |   0.32   |  -0.34   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.07 |   0.08   |  -0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.08 |   0.06   |  -1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.14 |   0.13   |  -1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.65 |   0.45   |  -1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | 0.03  |   0.15   |   0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.08  |   0.03   |   2.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | -0.37 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.00 |   0.00   |  -1.50   | 0.13       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.03 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.35 |   0.01   |  -25.92  | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | -0.02 |   0.00   |  -11.89  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.02 |   0.00   |  -10.87  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 0.46  |   0.03   |  16.44   | 0.00***    |
| Dev. normal) . SPEED    |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.31  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . SPEED    |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    | no      | -0.00 |   0.00   |  -0.01   | 0.99       |
| Dev. normal) . SINGLE   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    | no      | 0.04  |   0.02   |   2.20   | 0.03*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC: hetro group 0       | log     | 0.05  |   0.06   |   0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 |         | -1.14 |   0.15   |  -7.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    |         | 0.14  |   0.01   |   9.32   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -750.7382524392124
--------------------------------------------------------------------------------
bic: 1651.10
--------------------------------------------------------------------------------
MSE: 2061.41
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.48 |   0.36   |  -1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.29 |   0.15   |  -1.96   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.01 |   0.08   |  -0.17   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.01 |   0.03   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.05 |   0.31   |  -3.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.12  |   0.11   |   1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.98  |   0.12   |   8.46   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.02 |   0.04   |  -0.55   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -2.08   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.00  |   0.08   |   0.00   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.24  |   0.08   |   3.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.65 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | 0.01  |   0.00   |   7.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.06  |   0.01   |   9.41   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.19  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   | no      | -0.29 |   0.01   |  -46.18  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| CURVES (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | arcsinh | 0.03  |   0.03   |   1.01   | 0.31       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE: hetro group 0  | log     | 0.06  |   0.03   |   1.88   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  | no      | -0.39 |   0.10   |  -4.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: TANGENT: hetro    | no      | 0.02  |   0.03   |   0.57   | 0.57       |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS: hetro group 1   | arcsinh | -0.18 |   0.21   |  -0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    | arcsinh | 0.42  |   0.16   |   2.60   | 0.01*      |
| group 2                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN: hetro group 2    |         | -0.07 |   0.13   |  -0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | 0.05  |   0.00   |  11.35   | 0.00***    |
| group 0:tn_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: TANGENT: hetro    |         | 0.00  |   0.03   |   0.12   | 0.90       |
| group 1:lm_normal:sd    |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    |         | -0.30 |   0.05   |  -5.81   | 0.00***    |
| group 2:normal:sd       |         |       |          |          |            |
| hetro group 2           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -753.3138005590145
--------------------------------------------------------------------------------
bic: 1649.86
--------------------------------------------------------------------------------
MSE: 4815.55
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.10 |   0.28   |  -0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.19  |   0.09   |  13.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.14 |   0.08   |  -1.75   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.48  |   0.16   |   3.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.19 |   0.10   |  -1.87   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.09 |   0.20   |  -0.46   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.09  |   0.03   |   3.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.42 |   0.15   |  -2.75   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.26 |   0.21   |  -6.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.19  |   0.06   |   2.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.03  |   0.03   |   1.22   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.87   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.06 |   0.00   |  -25.74  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.01 |   0.00   |  -6.30   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    | arcsinh | -0.01 |   0.00   |  -10.22  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| TANGENT (Std. Dev.      |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MINRAD: hetro     | no      | 0.01  |   0.02   |   0.53   | 0.60       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 | no      | 0.01  |   0.04   |   0.22   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   | no      | -0.38 |   0.18   |  -2.16   | 0.03*      |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES: hetro group 1 | no      | -0.00 |   0.19   |  -0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR: hetro group 1   | no      | -0.02 |   0.02   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 1  | arcsinh | -0.06 |   0.04   |  -1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 1  | no      | -0.30 |   0.09   |  -3.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 1 | sqrt    | 0.30  |   0.06   |   5.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE: hetro group 1   |         | 0.25  |   0.09   |   2.79   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: MINRAD: hetro     |         | 0.06  |   0.01   |  10.10   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   |         | 0.02  |   0.00   |   7.08   | 0.00***    |
| group 1:uniform:sd      |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.0783809895014
--------------------------------------------------------------------------------
bic: 1657.97
--------------------------------------------------------------------------------
MSE: 496.97
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.47 |   0.37   |  -1.28   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.96  |   0.10   |   9.71   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.61 |   0.16   |  -3.76   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.04  |   0.10   |   0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.38 |   0.23   |  -6.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.04   |  -0.87   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.12  |   0.13   |   0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.28   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.04  |   0.03   |   1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.03   |   0.26   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.16 |   0.17   |  -0.93   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.31 |   0.09   |  -3.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.06   |   1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.30  |   0.12   |   2.45   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.09  |   0.02   |   4.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.26 |   0.11   |  -2.43   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.24 |   0.21   |  -1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.05   |   0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.07 |   0.10   |  -0.75   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | 0.76  |   0.01   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.16  |   0.01   |  21.16   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.13  |   0.00   |  36.77   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.13 |   0.00   |  -32.78  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.00 |   0.00   |  -3.55   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    | arcsinh | 0.00  |   0.00   |   1.55   | 0.12       |
| Dev. lm_normal) .       |         |       |          |          |            |
| CURVES (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | no      | 0.22  |   0.11   |   1.90   | 0.06.      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 0 |         | 0.22  |   0.07   |   3.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | 0.01  |   0.03   |   0.36   | 0.72       |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -730.7794387448411
--------------------------------------------------------------------------------
bic: 1631.26
--------------------------------------------------------------------------------
MSE: 959.95
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.16 |   0.31   |  -0.52   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.12 |   0.11   |  -1.14   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.01  |   0.05   |   0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.97 |   0.85   |  -1.14   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.22  |   0.07   |   2.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.01   |  -0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.42 |   0.10   |  -4.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.11  |   0.09   |   1.30   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.57 |   0.80   |  -0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.10 |   0.33   |  -0.31   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.37 |   0.09   |  -3.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.41  |   0.19   |   2.14   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.06   |   3.46   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.99  |   0.06   |  16.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.16  |   0.16   |   0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.35 |   0.07   |  -4.65   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.11 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.02 |   0.01   |  -3.74   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.00 |   0.00   |  -2.14   | 0.03*      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.04 |   0.00   |  -23.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.03 |   0.00   |  -23.10  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.01 |   0.00   |  -7.39   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.00 |   0.00   |  -3.06   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.14 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.03 |   0.00   |  -7.35   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.17 |   0.00   |  -41.27  | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.02 |   0.00   |  -46.08  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.72 |   0.00   |  -50.00  | 0.00***    |
| lm_normal) . LENGTH     |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . LENGTH   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . TRAIN    |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -748.5693300829032
--------------------------------------------------------------------------------
bic: 1661.45
--------------------------------------------------------------------------------
MSE: 426.82
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.84 |   0.41   |  -2.07   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.96  |   0.12   |   8.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.01  |   0.05   |   0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.17 |   0.20   |  -0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.32 |   0.11   |  -2.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.16  |   0.08   |   1.95   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.01  |   0.03   |   0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.00 |   0.02   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.05  |   0.04   |   1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.49 |   0.07   |  -6.67   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.31  |   0.12   |   2.67   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.13 |   0.08   |  -1.69   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.00 |   0.01   |  -0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.02  |   0.05   |   0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.34 |   0.11   |  -2.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.20  |   0.05   |   3.61   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.18 |   0.15   |  -1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.20 |   0.11   |  -1.86   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.07  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.01  |   0.00   |  40.87   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.01  |   0.00   |  20.58   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.24  |   0.01   |  23.58   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.02  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.01  |   0.00   |   5.82   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   3.88   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.02  |   0.00   |  13.13   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.23  |   0.00   |  49.77   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.58  |   0.01   |  50.00   | 0.00***    |
| normal) . INCLANES      |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -736.7479610399591
--------------------------------------------------------------------------------
bic: 1670.67
--------------------------------------------------------------------------------
MSE: 4763.23
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.63 |   0.22   |  -2.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.07  |   0.06   |  17.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.22 |   0.16   |  -1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.11 |   0.07   |  -1.53   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.02   |   4.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.13 |   0.14   |  -0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.07 |   0.03   |  -2.16   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.13  |   0.19   |   0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.01   |   2.78   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.00  |   0.12   |   0.02   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.03   |   1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.02 |   0.17   |  -6.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.35 |   0.12   |  -2.82   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.01  |   0.03   |   0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.03  |   0.02   |   1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.01  |   0.03   |   0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.02 |   0.08   |  -0.27   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.37 |   0.06   |  -6.48   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.21  |   0.07   |   2.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.20  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | 0.01  |   0.00   |  12.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.08 |   0.00   |  -29.44  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.10 |   0.00   |  -42.16  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.15 |   0.01   |  -18.84  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.01  |   0.00   |   5.56   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.11  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.09 |   0.00   |  -27.19  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MXGRDIFF (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.11  |   0.01   |  18.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| MXGRDIFF (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.06  |   0.00   |  33.26   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| TANGENT (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.07 |   0.01   |  -10.66  | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| MXGRDIFF (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.18 |   0.00   |  -47.16  | 0.00***    |
| Dev. uniform) . TANGENT |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . CURVES  |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.10  |   0.00   |  22.35   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MXGRDIFF (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.03  |   0.00   |  11.73   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| TANGENT (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | -0.09 |   0.01   |  -8.12   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| CURVES (Std. Dev.       |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | -0.00 |   0.01   |  -0.38   | 0.71       |
| Dev. lm_normal) .       |         |       |          |          |            |
| ADTLANE (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -740.6860435717049
--------------------------------------------------------------------------------
bic: 1666.26
--------------------------------------------------------------------------------
MSE: 239.98
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.49 |   0.23   |  -2.14   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.06 |   0.07   |  -0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.20 |   0.08   |  -2.63   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.12 |   0.03   |  -3.56   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.50  |   0.19   |   2.57   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.02   |   2.77   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.12 |   0.24   |  -4.67   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.13  |   0.06   |   2.30   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.27  |   0.11   |   2.37   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.05  |   0.10   |  10.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.36 |   0.14   |  -2.51   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.06  |   0.02   |   3.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.02  |   0.04   |   0.52   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   1.03   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.40 |   0.09   |  -4.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.04   |  -0.53   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | -0.00 |   0.02   |  -0.22   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.16 |   0.01   |  -24.62  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.18  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.02 |   0.00   |  -17.74  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.01  |   0.00   |   5.94   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.00 |   0.00   |  -3.45   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.05  |   0.00   |  14.35   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | 0.00  |   0.00   |   1.23   | 0.22       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.10  |   0.00   |  31.26   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| PEAKHR (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | 0.00  |   0.00   |   0.16   | 0.88       |
| Dev. uniform) . PEAKHR  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    | no      | -0.00 |   0.00   |  -0.91   | 0.37       |
| Dev. uniform) . MIGRADE |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     | arcsinh | -0.05 |   0.05   |  -1.04   | 0.30       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR: hetro group 0  | no      | 0.10  |   0.07   |   1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES: hetro group 0   |         | -0.01 |   0.02   |  -0.70   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     |         | 0.04  |   0.02   |   2.01   | 0.05.      |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -729.5554438703305
--------------------------------------------------------------------------------
bic: 1614.63
--------------------------------------------------------------------------------
MSE: 274.82
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.32 |   0.69   |  -0.46   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.20 |   0.17   |  -1.20   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.46 |   0.21   |  -2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.09  |   0.02   |   3.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.78 |   0.51   |  -1.53   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   2.83   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | 0.04  |   0.05   |   0.87   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.28 |   0.12   |  -2.37   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.04   |  -0.38   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.12 |   0.20   |  -0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.95  |   0.10   |   9.61   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.08 |   0.10   |  -0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.10  |   0.09   |   1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.19 |   0.01   |  -25.19  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.02  |   0.00   |  14.28   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.05  |   0.00   |  17.38   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.42 |   0.01   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.03 |   0.00   |  -6.12   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.01 |   0.00   |  -4.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.09 |   0.00   |  -23.33  | 0.00***    |
| normal) . LENGTH (Std.  |         |       |          |          |            |
| Dev.   lm_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.48  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . LENGTH  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    | no      | 0.01  |   0.00   |   2.85   | 0.00***    |
| Dev. uniform) . TRAIN   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIGRADE: hetro    | sqrt    | -0.01 |   0.04   |  -0.17   | 0.87       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  | no      | -0.00 |   0.00   |  -1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MEDWIDTH: hetro   | log     | 0.02  |   0.04   |   0.65   | 0.52       |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 1 |         | -1.05 |   0.65   |  -1.61   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIGRADE: hetro    |         | -0.01 |   0.00   |  -7.02   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MEDWIDTH: hetro   |         | -0.02 |   0.02   |  -0.86   | 0.39       |
| group 1:uniform:sd      |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -736.8057323283327
--------------------------------------------------------------------------------
bic: 1644.81
--------------------------------------------------------------------------------
MSE: 352.26
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.35 |   0.31   |  -1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.13 |   0.58   |  -0.22   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.07  |   0.14   |   0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.09  |   0.10   |   0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.10  |   0.11   |   0.91   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.07   |  -0.30   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.06  |   0.02   |   3.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.05   |   0.31   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.20  |   0.06   |   3.54   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.22   |  -0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.04 |   0.22   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.32 |   0.71   |  -0.46   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.07  |   0.14   |   0.49   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.02   |   0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.35  |   0.43   |   3.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.63 |   0.38   |  -1.68   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.37 |   0.13   |  -2.78   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | -0.10 |   0.00   |  -20.61  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.12 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.11  |   0.00   |  45.78   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.06 |   0.02   |  -2.57   | 0.01*      |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   2.13   | 0.03*      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.92 |   0.02   |  -42.94  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.00  |   0.00   |   1.39   | 0.17       |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.58  |   0.01   |  50.00   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.40  |   0.03   |  12.24   | 0.00***    |
| uniform) . LENGTH (Std. |         |       |          |          |            |
| Dev.   triangular )     |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.59  |   0.15   |   4.01   | 0.00***    |
| tn_normal) . LENGTH     |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   | no      | -0.09 |   0.02   |  -3.81   | 0.00***    |
| tn_normal) . SPEED      |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   | arcsinh | -0.56 |   0.24   |  -2.33   | 0.02*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 |         | -1.08 |   0.75   |  -1.45   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   |         | 0.09  |   0.03   |   3.73   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -723.4739638165063
--------------------------------------------------------------------------------
bic: 1633.83
--------------------------------------------------------------------------------
MSE: 222.42
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.30 |   0.30   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.33 |   0.30   |  -1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.05  |   0.02   |   2.77   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.27 |   0.11   |  -2.40   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.04 |   0.04   |  -0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.14  |   0.08   |   1.79   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.03  |   0.02   |   1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.02  |   0.07   |   0.35   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.01 |   0.04   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.01 |   0.21   |  -4.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.35 |   0.09   |  -3.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.05   |   1.53   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.21  |   0.05   |   4.65   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.36  |   0.08   |   4.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.53 |   0.20   |  -2.65   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.06  |   0.10   |   0.65   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.05 |   0.05   |  -1.01   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.11  |   0.10   |  11.30   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.03 |   0.04   |  -0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.01 |   0.01   |  -1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.14 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.01 |   0.00   |  -2.70   | 0.01*      |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.09  |   0.00   |  30.32   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | 0.26  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.51  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.00 |   0.00   |  -12.80  | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.01 |   0.00   |  -5.91   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.01 |   0.00   |  -12.82  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| tn_normal) . LENGTH     |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| tn_normal) . MIMEDSH    |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.03 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) . LENGTH  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.08 |   0.00   |  -29.58  | 0.00***    |
| Dev. uniform) . MIMEDSH |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.01  |   0.00   |   6.68   | 0.00***    |
| Dev. uniform) . SPEED   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -747.576566900056
--------------------------------------------------------------------------------
bic: 1660.07
--------------------------------------------------------------------------------
MSE: 243.76
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.60 |   0.68   |  -0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.32 |   0.17   |  -1.90   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.10 |   0.23   |  -0.42   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.06  |   0.03   |   1.85   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.02  |   0.19   |   0.12   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.07 |   0.27   |  -0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.01 |   0.05   |  -0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.37 |   0.13   |  -2.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.26  |   0.10   |   2.46   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.18  |   0.11   |   1.69   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.06   |  -0.91   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.85   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.29  |   0.16   |   8.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.10 |   0.12   |  -0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.44 |   0.21   |  -2.16   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | -0.07 |   0.01   |  -13.87  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.00  |   0.00   |   0.82   | 0.41       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.06 |   0.05   |  -1.32   | 0.19       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.00  |   0.01   |   0.12   | 0.90       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.00 |   0.00   |  -0.04   | 0.97       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.00 |   0.02   |  -0.08   | 0.94       |
| Dev. tn_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.02  |   0.01   |   1.45   | 0.15       |
| Dev. normal) . LENGTH   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.00 |   0.00   |  -0.43   | 0.67       |
| Dev. normal) . CURVES   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SPEED: hetro      | sqrt    | -0.19 |   0.21   |  -0.90   | 0.37       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE: hetro group 0   | arcsinh | -0.19 |   0.29   |  -0.65   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   | arcsinh | 0.02  |   0.03   |   0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE: hetro group 0    | no      | 0.13  |   0.10   |   1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| main: SPEED: hetro      |         | 0.02  |   0.02   |   1.02   | 0.31       |
| group 0:tn_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.21  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -751.3970628601307
--------------------------------------------------------------------------------
bic: 1666.10
--------------------------------------------------------------------------------
MSE: 311.50
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.84 |   0.15   |  -12.58  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.89  |   0.10   |   9.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.39 |   0.19   |  -1.99   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.25 |   0.06   |  -3.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.39 |   0.16   |  -2.37   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.00  |   0.08   |   0.02   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.00  |   0.04   |   0.03   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.04  |   0.03   |   1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.16  |   0.05   |   2.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.29  |   0.06   |   4.73   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.37  |   0.10   |   3.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.04  |   0.19   |   0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.03  |   0.03   |   1.03   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.02  |   0.04   |   0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.58 |   0.05   |  -11.60  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.42   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.12  |   0.03   |   4.41   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.04 |   0.08   |  -0.49   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.26 |   0.15   |  -1.79   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.04  |   0.00   |  33.12   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.02 |   0.00   |  -18.25  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   1.88   | 0.06.      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | 0.04  |   0.00   |  31.50   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.01 |   0.00   |  -2.07   | 0.04*      |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.16  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.12 |   0.00   |  -36.21  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| MXMEDSH (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.24  |   0.01   |  45.86   | 0.00***    |
| Dev. normal) . MXMEDSH  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.03 |   0.00   |  -9.40   | 0.00***    |
| Dev. normal) . CURVES   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.1094396158217
--------------------------------------------------------------------------------
bic: 1662.42
--------------------------------------------------------------------------------
MSE: 556.90
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.06  |   2.02   |   0.03   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.18  |   0.11   |  10.77   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.56 |   0.17   |  -3.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.31 |   0.19   |  -1.69   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.05  |   0.04   |   1.19   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.02 |   0.07   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.03  |   0.02   |   1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.01 |   0.04   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.92 |   0.50   |  -1.84   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.31 |   0.13   |  -2.49   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.24  |   0.08   |   3.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.10  |   0.02   |   4.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.31 |   0.41   |  -0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.18 |   0.14   |  -1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.05   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.29 |   0.21   |  -1.36   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.12  |   0.06   |   1.93   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.09  |   0.03   |   3.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.09  |   0.10   |   0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.03  |   0.08   |   0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.07  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.05  |   0.00   |   9.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.08  |   0.01   |  15.81   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.08 |   0.00   |  -49.49  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.26  |   0.01   |  31.72   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.05  |   0.00   |  23.49   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.09 |   0.01   |  -12.37  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.02 |   0.00   |  -5.33   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.14  |   0.01   |  26.50   | 0.00***    |
| Dev. uniform) . DOUBLE  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.3764864817937
--------------------------------------------------------------------------------
bic: 1662.46
--------------------------------------------------------------------------------
MSE: 290.41
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.95 |   0.28   |  -7.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.95  |   0.10   |   9.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.43 |   0.05   |  -7.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.02  |   0.02   |   1.50   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.04  |   0.03   |   1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.04   |   0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.41 |   0.05   |  -7.46   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.26  |   0.07   |   3.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.23  |   0.07   |   3.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.09  |   0.02   |   4.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.22 |   0.10   |  -2.12   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.04   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.28 |   0.18   |  -1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.12 |   0.13   |  -0.91   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.02  |   0.02   |   1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.09  |   0.05   |   1.85   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.01 |   0.03   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.04 |   0.08   |  -0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.11 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | -0.70 |   0.00   |  -50.00  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.05  |   0.00   |  26.79   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.00 |   0.01   |  -0.06   | 0.95       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | 0.00  |   0.00   |   0.79   | 0.43       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.09  |   0.00   |  37.77   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.18  |   0.00   |  48.05   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     | no      | -0.16 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) . MIMEDSH |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIGRADE: hetro    | no      | 0.02  |   0.06   |   0.44   | 0.66       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS: hetro group 0   |         | -0.32 |   0.18   |  -1.78   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIGRADE: hetro    |         | 0.34  |   0.07   |   5.09   | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -730.1233073328225
--------------------------------------------------------------------------------
bic: 1625.56
--------------------------------------------------------------------------------
MSE: 346.11
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.19 |   0.56   |  -0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.96  |   0.10   |   9.53   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.09  |   0.03   |   2.56   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.81 |   0.43   |  -1.90   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.03  |   0.09   |   0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.05 |   0.23   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.23 |   0.15   |  -1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.03 |   0.08   |  -0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.06 |   0.17   |  -0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.99 |   0.49   |  -2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.27  |   0.13   |   2.10   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.45 |   0.22   |  -2.07   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.16 |   0.20   |  -0.80   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.31  |   0.18   |   1.70   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.00 |   0.05   |  -0.03   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.03   |   1.88   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.02   |  -0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -2.65   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.22  |   0.07   |   3.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.25 |   0.10   |  -2.50   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.03 |   0.00   |  -12.35  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.02  |   0.00   |  17.21   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.01 |   0.01   |  -1.88   | 0.06.      |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.07  |   0.00   |  32.96   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.01  |   0.00   |  12.58   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.02  |   0.00   |   6.20   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.03 |   0.00   |  -6.85   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -738.0263500840358
--------------------------------------------------------------------------------
bic: 1656.04
--------------------------------------------------------------------------------
MSE: 277.60
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.33 |   0.12   |  -2.68   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.36 |   0.09   |  -3.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.24 |   0.17   |  -1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.03   |  -1.63   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.05 |   0.02   |  -2.17   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.38  |   0.19   |   2.02   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.01  |   0.01   |   0.65   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.05 |   0.05   |  -0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.07  |   0.02   |   4.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.35 |   0.07   |  -4.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.18  |   0.06   |   3.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.02   |   4.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.06 |   0.05   |  -1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.31 |   0.12   |  -11.13  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.06  |   0.07   |   0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.29  |   0.06   |  20.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.01 |   0.00   |  -2.15   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.34 |   0.07   |  -5.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.07  |   0.04   |   1.89   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.07  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.06 |   0.00   |  -27.72  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -5.02   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.06  |   0.00   |  12.66   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.63 |   0.01   |  -50.00  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.07  |   0.00   |  23.16   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.05  |   0.00   |  32.26   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.02 |   0.00   |  -50.00  | 0.00***    |
| lm_normal) . LENGTH     |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.51  |   0.00   |  50.00   | 0.00***    |
| tn_normal) . LENGTH     |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.01  |   0.01   |   1.00   | 0.32       |
| tn_normal) . WIDTH      |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.02  |   0.00   |   7.73   | 0.00***    |
| Dev. uniform) . LENGTH  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.16 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) . WIDTH   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.05 |   0.00   |  -15.51  | 0.00***    |
| Dev. uniform) . SPEED   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -745.4852840154324
--------------------------------------------------------------------------------
bic: 1651.89
--------------------------------------------------------------------------------
MSE: 239.97
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.20 |   0.88   |  -0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.04  |   0.23   |   4.58   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.06 |   0.07   |  -0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.36 |   0.20   |  -1.79   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.05   |  -0.75   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.31  |   0.23   |   1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.04   |   1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.02  |   0.07   |   0.25   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.94 |   0.39   |  -2.43   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.33 |   0.13   |  -2.55   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.21  |   0.16   |   1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.03   |  -0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.43  |   0.20   |   2.11   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.32 |   0.21   |  -1.50   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.07  |   0.14   |   0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.12  |   0.14   |   0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.21  |   0.09   |   2.39   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.01   |   0.30   | 0.77       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.27  |   0.01   |  28.01   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.00 |   0.01   |  -0.45   | 0.65       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.00 |   0.01   |  -0.16   | 0.87       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.01  |   0.01   |   0.85   | 0.40       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.06 |   0.01   |  -6.65   | 0.00***    |
| Dev. normal) . INCLANES |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.20 |   0.01   |  -15.96  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.04 |   0.01   |  -5.54   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| GRADEBR (Std. Dev.      |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.00  |   0.01   |   0.43   | 0.67       |
| Dev. tn_normal) .       |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.00 |   0.01   |  -0.22   | 0.83       |
| Dev. tn_normal) .       |         |       |          |          |            |
| GRADEBR (Std. Dev.      |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.01 |   0.01   |  -0.69   | 0.49       |
| Dev. tn_normal) .       |         |       |          |          |            |
| MXGRDIFF (Std. Dev.     |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.52  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -748.4313937150266
--------------------------------------------------------------------------------
bic: 1666.17
--------------------------------------------------------------------------------
MSE: 441.65
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.11 |   0.85   |  -0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.06  |   0.03   |   1.77   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.20 |   0.17   |  -1.20   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | 0.12  |   0.26   |   0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.06 |   0.02   |  -2.58   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.32  |   0.24   |   1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   1.70   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.03 |   0.49   |  -2.11   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.25 |   0.13   |  -1.93   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.23  |   0.09   |   2.61   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.06 |   0.08   |  -0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.97  |   0.15   |   6.66   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.15 |   0.30   |  -0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.04 |   0.31   |  -0.12   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.47 |   0.48   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.03 |   0.03   |  -0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.06   |   0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.12 |   0.01   |  -10.02  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.00  |   0.00   |   0.42   | 0.68       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.00 |   0.01   |  -0.12   | 0.91       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.01  |   0.00   |   1.11   | 0.27       |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.00  |   0.00   |   0.13   | 0.89       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.00  |   0.00   |   0.38   | 0.70       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.00  |   0.00   |   0.53   | 0.60       |
| Dev. uniform) . WIDTH   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.01 |   0.01   |  -1.46   | 0.15       |
| Dev. lm_normal) . WIDTH |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.00 |   0.00   |  -0.16   | 0.87       |
| Dev. lm_normal) .       |         |       |          |          |            |
| CURVES (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SPEED: hetro      | log     | -0.38 |   0.48   |  -0.79   | 0.43       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF: hetro group 0 | no      | 0.07  |   0.04   |   1.89   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| main: SPEED: hetro      |         | 0.08  |   0.11   |   0.79   | 0.43       |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.12  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -732.6403207478448
--------------------------------------------------------------------------------
bic: 1623.70
--------------------------------------------------------------------------------
MSE: 4851.94
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.17 |   0.80   |  -0.22   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.19  |   0.10   |  12.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.05  |   0.03   |   2.14   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.13 |   0.22   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.01  |   0.08   |   0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.04   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.25 |   0.26   |  -4.81   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -4.79   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.41 |   0.15   |  -2.73   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.51 |   0.23   |  -2.19   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.16 |   0.23   |  -0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.01   |   1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.00  |   0.03   |   0.07   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.10  |   0.06   |   1.72   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.06   |   2.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.33  |   0.09   |   3.73   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.10 |   0.04   |  -2.64   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   0.85   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.03  |   0.00   |  16.44   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.06 |   0.00   |  -13.64  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.01 |   0.00   |  -6.26   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.01 |   0.00   |  -4.26   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.03 |   0.00   |  -16.43  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.12 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | -0.34 |   0.01   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.28  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.01  |   0.00   |  12.30   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.08 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) . MIMEDSH |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -764.5766437206685
--------------------------------------------------------------------------------
bic: 1711.75
--------------------------------------------------------------------------------
MSE: 279.18
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.50 |   1.25   |  -0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.32 |   0.45   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.01  |   0.12   |   0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.07   |   0.89   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.88 |   0.18   |  -4.78   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.30 |   0.34   |  -0.89   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.18   |  -0.31   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.04 |   0.10   |  -0.42   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.14   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.04   |   1.69   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.31 |   0.62   |  -0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.20 |   0.17   |  -1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.36  |   0.13   |   2.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | -0.02 |   0.12   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.09  |   0.08   |   1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.08  |   0.04   |   2.10   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.04   |   0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.01  |   0.07   |   0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.27 |   0.27   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.05  |   0.12   |   0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.21  |   0.13   |   1.69   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.17  |   0.37   |   0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.00 |   0.00   |  -0.10   | 0.92       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.00  |   0.00   |   0.04   | 0.97       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.00 |   0.00   |  -0.09   | 0.92       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.00 |   0.01   |  -0.24   | 0.81       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -0.34   | 0.73       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.00  |   0.02   |   0.06   | 0.95       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.05 |   0.05   |  -0.91   | 0.37       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.00 |   0.01   |  -0.42   | 0.68       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.04  |   0.05   |   0.81   | 0.42       |
| Dev. uniform) .         |         |       |          |          |            |
| MXGRDIFF (Std. Dev.     |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 1.77  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -752.7231123413991
--------------------------------------------------------------------------------
bic: 1699.22
--------------------------------------------------------------------------------
MSE: 310.08
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -3.79 |   0.34   |  -11.17  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.14 |   0.20   |  -0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.23 |   0.08   |  -3.03   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | -0.13 |   0.15   |  -0.85   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.03  |   0.06   |   0.55   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.00 |   0.01   |  -0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.08  |   0.07   |   1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.02 |   0.03   |  -0.55   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.06 |   0.01   |  -8.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -5.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.37  |   0.06   |   6.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.04 |   0.05   |  -0.65   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.09  |   0.12   |   8.83   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.28 |   0.21   |  -1.36   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.57  |   0.10   |   5.62   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.04   |  -1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.37 |   0.21   |  -1.77   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   2.62   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.00 |   0.01   |  -0.80   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.05  |   0.04   |   1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.01  |   0.00   |   3.03   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.19 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.11 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | -0.03 |   0.00   |  -14.99  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.19  |   0.01   |  35.17   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.05 |   0.00   |  -20.11  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.19 |   0.00   |  -50.00  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    | no      | 0.05  |   0.00   |  10.23   | 0.00***    |
| Dev. tn_normal) . WIDTH |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: ACCESS: hetro     | no      | -0.40 |   0.17   |  -2.38   | 0.02*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE: hetro group 0    | no      | 0.16  |   0.06   |   2.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | arcsinh | 0.02  |   0.02   |   1.25   | 0.21       |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 1   |         | 0.02  |   0.02   |   1.29   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| main: ACCESS: hetro     |         | -0.08 |   0.02   |  -3.15   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | 0.01  |   0.01   |   1.60   | 0.11       |
| group 1:normal:sd       |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -744.6279467019395
--------------------------------------------------------------------------------
bic: 1664.85
--------------------------------------------------------------------------------
MSE: 249.22
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.68 |   0.21   |  -13.05  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.95  |   0.10   |   9.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.01  |   0.03   |   0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.02  |   0.04   |   0.38   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.24 |   0.17   |  -1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.23 |   0.11   |  -2.04   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.09  |   0.13   |   0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.15 |   0.25   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.29  |   0.11   |   2.55   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.70 |   0.15   |  -4.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.03   |   3.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | 0.00  |   0.11   |   0.03   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.06  |   0.04   |   1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.08   |   1.29   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.26  |   0.07   |   3.60   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.16   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.41   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.07 |   0.12   |  -0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.60 |   0.08   |  -7.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.10  |   0.01   |  19.19   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.03  |   0.00   |  16.63   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | -0.77 |   0.01   |  -50.00  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.00  |   0.00   |   0.03   | 0.97       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.10 |   0.01   |  -12.33  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.06  |   0.00   |  17.99   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.03 |   0.00   |  -24.28  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.04 |   0.00   |  -39.65  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.29 |   0.01   |  -40.13  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.03  |   0.00   |  33.63   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.15 |   0.00   |  -30.54  | 0.00***    |
| Dev. uniform) . MXGRADE |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.07  |   0.00   |  45.86   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| MXGRADE (Std. Dev.      |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| CURVES (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -744.4497178280386
--------------------------------------------------------------------------------
bic: 1641.92
--------------------------------------------------------------------------------
MSE: 348.83
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.10 |   0.10   |  -20.09  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.32 |   0.09   |  -3.76   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.12  |   0.02   |   5.42   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.03   |  -1.79   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.06 |   0.04   |  -1.45   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.05   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.01   |   3.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.02 |   0.04   |  -0.52   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.01   |   0.35   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.48 |   0.08   |  -6.30   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.42 |   0.06   |  -6.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.19 |   0.09   |  -2.14   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.70 |   0.04   |  -18.44  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.07  |   0.05   |   1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.23  |   0.05   |  25.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.15 |   0.06   |  -2.29   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.12 |   0.05   |  -2.27   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.21 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.81 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.18  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.03  |   0.00   |   6.08   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | 0.20  |   0.01   |  39.65   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 0.11  |   0.00   |  27.75   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.01 |   0.00   |  -3.51   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | -0.19 |   0.00   |  -50.00  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.08 |   0.01   |  -16.43  | 0.00***    |
| Dev. normal) . LENGTH   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.14 |   0.00   |  -33.40  | 0.00***    |
| Dev. normal) . SINGLE   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -741.3880411289806
--------------------------------------------------------------------------------
bic: 1664.77
--------------------------------------------------------------------------------
MSE: 269.70
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.45 |   0.15   |  -3.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.13 |   0.05   |  -2.40   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.10  |   0.14   |   0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.14  |   0.14   |   0.95   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.05   |  -0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.09  |   0.02   |   4.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.03  |   0.02   |   1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.08 |   0.16   |  -0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -3.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.27  |   0.12   |   2.20   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.57 |   0.10   |  -5.51   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.28 |   0.14   |  -2.03   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.03 |   0.04   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.36 |   0.06   |  -5.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.22  |   0.07   |   2.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.29  |   0.16   |   8.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.21 |   0.18   |  -1.14   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.05  |   0.05   |   1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.08  |   0.00   |  40.42   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.01 |   0.00   |  -21.10  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.73  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.01 |   0.00   |  -3.84   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.07  |   0.00   |  30.38   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | 0.42  |   0.01   |  35.57   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 0.06  |   0.00   |  27.37   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | 0.00  |   0.00   |   0.30   | 0.77       |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | -0.45 |   0.01   |  -42.04  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | 0.16  |   0.01   |  29.14   | 0.00***    |
| normal) . LENGTH (Std.  |         |       |          |          |            |
| Dev.   uniform )        |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. | no      | -0.11 |   0.00   |  -38.76  | 0.00***    |
| normal) . SINGLE (Std.  |         |       |          |          |            |
| Dev.   lm_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    | arcsinh | -0.01 |   0.02   |  -0.28   | 0.78       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   |         | 0.01  |   0.02   |   0.49   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    |         | -0.00 |   0.00   |  -1.18   | 0.24       |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -754.6898459888893
--------------------------------------------------------------------------------
bic: 1662.90
--------------------------------------------------------------------------------
MSE: 391.65
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.53 |   1.30   |  -1.17   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.05  |   0.18   |   5.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.03 |   0.24   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.43  |   0.17   |   2.50   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   3.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.27  |   0.31   |   0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.50 |   0.20   |  -2.49   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.22  |   0.07   |   2.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.13  |   0.44   |   0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -1.07 |   0.93   |  -1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.10 |   0.04   |  -2.58   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.02  |   0.06   |   0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.03 |   0.07   |  -0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.05  |   0.12   |   0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.02  |   0.02   |   1.33   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.07 |   0.14   |  -0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.24  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.03  |   0.00   |  41.85   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.00  |   0.00   |   2.44   | 0.02*      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.00  |   0.00   |   0.61   | 0.55       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.10  |   0.01   |  13.52   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.27 |   0.00   |  -50.00  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.03 |   0.00   |  -15.12  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.09 |   0.00   |  -50.00  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . MIMEDSH |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.00  |   0.00   |   0.08   | 0.93       |
| Dev. tn_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.22  |   0.01   |  15.53   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| GRADEBR (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -752.7110441538492
--------------------------------------------------------------------------------
bic: 1681.02
--------------------------------------------------------------------------------
MSE: 9107.53
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.52 |   0.35   |  -1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.14  |   0.09   |   1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.02   |   3.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.08 |   0.04   |  -2.06   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.35 |   0.22   |  -1.59   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.02   |   2.29   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.03 |   0.08   |  -0.35   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.06 |   0.09   |  -0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.05  |   0.02   |   2.37   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.16  |   0.08   |   2.11   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.29  |   0.02   |  12.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.23 |   0.14   |  -1.62   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.31 |   0.10   |  -3.03   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.51  |   0.17   |   2.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | -0.04 |   0.06   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.77 |   0.16   |  -4.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.09 |   0.06   |  -1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.44 |   0.08   |  -19.10  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.07 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.12  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.53  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.18  |   0.01   |  23.74   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.02 |   0.01   |  -1.84   | 0.07.      |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.43  |   0.01   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.24 |   0.00   |  -50.00  | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.01  |   0.00   |  16.85   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.18 |   0.00   |  -50.00  | 0.00***    |
| normal) . DECLANES      |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.07 |   0.00   |  -20.10  | 0.00***    |
| Dev. normal) . DECLANES |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   | no      | 0.15  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . TRAIN    |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: ACCESS: hetro     | no      | -0.20 |   0.15   |  -1.34   | 0.18       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 |         | 0.03  |   0.04   |   0.75   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| main: ACCESS: hetro     |         | 0.04  |   0.01   |   5.24   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -744.2392960425402
--------------------------------------------------------------------------------
bic: 1657.18
--------------------------------------------------------------------------------
MSE: 253.64
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.96 |   0.81   |  -3.68   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.45 |   0.19   |  -2.38   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.43 |   0.24   |  -1.83   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.02  |   0.10   |   0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.05  |   0.02   |   1.87   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.35 |   0.18   |  -1.95   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.05   |   2.13   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.21  |   0.07   |   2.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.38  |   0.12   |   3.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.95  |   0.08   |  12.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.06  |   0.03   |   2.17   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.58 |   0.23   |  -2.53   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.04  |   0.05   |   0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.16  |   0.08   |   1.88   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.19 |   0.13   |  -1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.01 |   0.02   |  -0.49   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.15 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.12 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.10 |   0.00   |  -39.67  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.31  |   0.01   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.05 |   0.00   |  -32.87  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.54 |   0.01   |  -50.00  | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     | arcsinh | -0.03 |   0.00   |  -31.27  | 0.00***    |
| Dev. lm_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | no      | -0.07 |   0.15   |  -0.42   | 0.67       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 | arcsinh | -0.03 |   0.04   |  -0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    | arcsinh | 0.39  |   0.13   |   2.91   | 0.00***    |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 1  |         | -0.48 |   0.11   |  -4.44   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | 0.07  |   0.01   |   5.92   | 0.00***    |
| group 0:tn_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    |         | 0.08  |   0.02   |   4.28   | 0.00***    |
| group 1:uniform:sd      |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -762.9443926786375
--------------------------------------------------------------------------------
bic: 1678.52
--------------------------------------------------------------------------------
MSE: 409.35
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.71 |   0.36   |  -1.97   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.35 |   0.17   |  -2.08   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.21 |   0.16   |  -1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.05 |   0.07   |  -0.65   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.28  |   0.12   |   2.30   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.03   |   0.55   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.20 |   0.14   |  -1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.09  |   0.04   |   2.34   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.08 |   0.06   |  -1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.05   |   1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.03  |   0.04   |   0.78   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.02  |   0.15   |   0.11   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.33 |   0.26   |  -5.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.06  |   0.10   |   0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.01   |   0.50   | 0.62       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.00  |   0.00   |   0.16   | 0.88       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.00  |   0.00   |   0.31   | 0.76       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.00 |   0.00   |  -0.35   | 0.72       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.00  |   0.00   |   0.07   | 0.94       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -0.06   | 0.95       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.01 |   0.01   |  -1.68   | 0.09.      |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     | no      | 0.17  |   0.04   |   4.32   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH: hetro group 0  | no      | -0.06 |   0.06   |  -0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 0  | no      | -0.02 |   0.06   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE: hetro group 0   | no      | 0.01  |   0.04   |   0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     |         | -0.00 |   0.09   |  -0.03   | 0.97       |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 1.79  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -735.8845957143164
--------------------------------------------------------------------------------
bic: 1651.76
--------------------------------------------------------------------------------
MSE: 224.48
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.30 |   0.74   |  -0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.01  |   0.07   |  14.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.54 |   0.20   |  -2.76   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.13 |   0.20   |  -0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.00 |   0.01   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.02   |   3.59   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.03 |   0.06   |  -0.42   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.03   |   2.39   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.12  |   0.07   |   1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.13  |   0.05   |   2.50   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.13  |   0.06   |   2.32   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.20  |   0.09   |   2.24   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.03  |   0.03   |   0.87   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.10 |   0.11   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.13 |   0.19   |  -0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.12  |   0.17   |   0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.35 |   0.23   |  -5.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.05 |   0.06   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.05   |  -0.97   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.04   |   0.30   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.26 |   0.09   |  -2.77   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.05 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.16 |   0.00   |  -48.18  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.05 |   0.00   |  -35.55  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.00 |   0.00   |  -2.67   | 0.01*      |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.02 |   0.00   |  -14.93  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.02 |   0.01   |  -4.06   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | -0.11 |   0.00   |  -50.00  | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.22  |   0.01   |  23.64   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.00 |   0.00   |  -1.12   | 0.26       |
| Dev. triangular) . FC   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . FC (Std. |         |       |          |          |            |
| Dev.   lm_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.01 |   0.00   |  -7.92   | 0.00***    |
| Dev. normal) . MIGRADE  |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -740.5219444662653
--------------------------------------------------------------------------------
bic: 1668.43
--------------------------------------------------------------------------------
MSE: 334.77
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.51 |   0.22   |  -2.34   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.02  |   0.09   |  10.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.04  |   0.03   |   1.10   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.10 |   0.13   |  -0.79   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.12  |   0.10   |   1.24   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.10  |   0.02   |   4.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.04   |   0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.21  |   0.06   |   3.57   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.20  |   0.10   |   2.03   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.19 |   0.09   |  -1.99   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.37 |   0.16   |  -2.29   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.02 |   0.02   |  -1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.29 |   0.09   |  -3.41   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.03  |   0.05   |   0.64   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.05 |   0.06   |  -0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.14 |   0.23   |  -4.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.42 |   0.09   |  -4.46   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.05  |   0.03   |   1.66   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.28 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.01  |   0.00   |   5.50   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.03 |   0.00   |  -12.83  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.04  |   0.00   |  37.23   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.14 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.01   |  -0.51   | 0.61       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.11  |   0.00   |  45.78   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.81  |   0.01   |  50.00   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | 0.08  |   0.00   |  37.11   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.20 |   0.01   |  -30.13  | 0.00***    |
| lm_normal) . SPEED      |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.13 |   0.00   |  -50.00  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| SPEED (Std. Dev.        |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   | sqrt    | -0.03 |   0.00   |  -21.50  | 0.00***    |
| Dev. triangular) . URB  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      | arcsinh | -0.10 |   0.08   |  -1.33   | 0.18       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   | no      | 0.02  |   0.02   |   0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS: hetro group 0   |         | -0.42 |   0.14   |  -3.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      |         | 0.04  |   0.02   |   1.63   | 0.10       |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -738.6107738970569
--------------------------------------------------------------------------------
bic: 1631.74
--------------------------------------------------------------------------------
MSE: 237.09
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.51 |   0.18   |  -2.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.13  |   0.10   |  11.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.68 |   0.12   |  -5.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.63 |   0.18   |  -8.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.02  |   0.08   |   0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.01  |   0.01   |   0.62   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | -0.02 |   0.07   |  -0.22   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.05  |   0.02   |   2.34   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.58  |   0.15   |   3.81   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.33 |   0.11   |  -3.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.04 |   0.09   |  -0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.02   |   0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | 0.00  |   0.00   |   0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.17 |   0.06   |  -2.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.05  |   0.00   |  11.01   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.84  |   0.01   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.00  |   0.00   |   1.57   | 0.12       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   1.05   | 0.30       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.03 |   0.00   |  -43.70  | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.05 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    | log     | 0.16  |   0.00   |  42.73   | 0.00***    |
| Dev. lm_normal) . WIDTH |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     | no      | -0.36 |   0.17   |  -2.14   | 0.03*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS: hetro group 0   | no      | -0.18 |   0.10   |  -1.85   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| main: SLOPE: hetro      | log     | 0.10  |   0.05   |   1.97   | 0.05.      |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE: hetro group 1   |         | 0.25  |   0.07   |   3.79   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     |         | -0.03 |   0.06   |  -0.50   | 0.62       |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SLOPE: hetro      |         | -0.16 |   0.06   |  -2.45   | 0.02*      |
| group 1:uniform:sd      |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -749.0308596524859
--------------------------------------------------------------------------------
bic: 1635.40
--------------------------------------------------------------------------------
MSE: 513.64
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.01 |   0.47   |  -0.02   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.17  |   0.11   |  11.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.11 |   0.03   |  -3.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.00 |   0.05   |  -0.08   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.02   |   2.79   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.09 |   0.15   |  -0.58   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.18 |   0.09   |  -2.13   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.44  |   0.21   |   2.04   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.04  |   0.08   |   0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.25 |   0.13   |  -9.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.31 |   0.07   |  -4.56   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.01   |  -0.12   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.02 |   0.03   |  -0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.38  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.03 |   0.00   |  -23.52  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.02  |   0.00   |   8.17   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.01 |   0.00   |  -3.05   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -4.55   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    | no      | 0.12  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  | arcsinh | -0.13 |   0.10   |  -1.33   | 0.19       |
| 0                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE: hetro group 0   | no      | 0.02  |   0.17   |   0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 | no      | -0.01 |   0.04   |  -0.17   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 0 |         | 0.26  |   0.06   |   4.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  |         | -0.24 |   0.02   |  -12.41  | 0.00***    |
| 0:normal:sd  hetro      |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -739.8070622296354
--------------------------------------------------------------------------------
bic: 1650.82
--------------------------------------------------------------------------------
MSE: 348.28
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.59 |   0.60   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.05 |   0.21   |  -0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.10 |   0.10   |  -0.93   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.00  |   0.02   |   0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.16  |   0.07   |   2.17   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.01  |   0.02   |   0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.03 |   0.04   |  -0.78   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.01   |   0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.91 |   0.20   |  -4.49   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.07  |   0.03   |   2.30   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.04  |   0.07   |   0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.20 |   0.15   |  -1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.44 |   0.21   |  -6.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.02 |   0.07   |  -0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | -0.01 |   0.05   |  -0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.02   |   3.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.52 |   0.12   |  -4.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.23  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.05 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.02 |   0.00   |  -8.84   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.08 |   0.00   |  -23.33  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.01 |   0.00   |  -10.95  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.04  |   0.00   |  28.59   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.10 |   0.00   |  -35.98  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | -0.03 |   0.00   |  -38.78  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.65  |   0.01   |  50.00   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   | sqrt    | -0.28 |   0.01   |  -41.50  | 0.00***    |
| lm_normal) . MXMEDSH    |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     | no      | 0.97  |   0.08   |  12.36   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES: hetro group 0 | no      | -0.02 |   0.16   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE: hetro group 0  |         | 0.03  |   0.02   |   2.26   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     |         | -0.08 |   0.02   |  -5.17   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -762.0586050581313
--------------------------------------------------------------------------------
bic: 1666.85
--------------------------------------------------------------------------------
MSE: 1686.47
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.58 |   0.32   |  -4.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 1.20  |   0.10   |  12.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.05 |   0.17   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.08  |   0.03   |   2.31   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.51 |   0.39   |  -1.29   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.02 |   0.01   |  -1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.26  |   0.09   |   2.79   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.46 |   0.11   |  -4.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.05  |   0.13   |   0.41   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.03  |   0.05   |   0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.65 |   0.18   |  -3.59   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.10  |   0.06   |   1.62   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.12  |   0.15   |   0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.21  |   0.05   |   4.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 1.77  |   0.01   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.06 |   0.00   |  -12.33  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.06 |   0.01   |  -9.86   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.18  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.11 |   0.00   |  -42.97  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.04  |   0.00   |  18.30   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.12  |   0.00   |  44.28   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   | log     | 0.18  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . PEAKHR   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      | arcsinh | -1.68 |   0.32   |  -5.30   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT: hetro group 0  |         | -0.07 |   0.09   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      |         | 0.04  |   0.02   |   1.65   | 0.10       |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -733.4763645744562
--------------------------------------------------------------------------------
bic: 1626.37
--------------------------------------------------------------------------------
MSE: 290.99
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.95 |   0.53   |  -5.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.13  |   0.10   |  11.49   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.54 |   0.12   |  -4.44   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.04   |  -0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.01 |   0.01   |  -1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.17 |   0.07   |  -2.34   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.28 |   0.19   |  -1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.17  |   0.06   |   2.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.00 |   0.05   |  -0.09   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.09  |   0.02   |   4.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.08  |   0.07   |   1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -4.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.18  |   0.05   |   3.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.00  |   0.04   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.02   |   2.57   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.14  |   0.07   |   1.98   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.05  |   0.00   |  42.62   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.06 |   0.00   |  -37.99  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.17 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.10  |   0.01   |  13.22   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.00  |   0.00   |   4.40   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.02  |   0.00   |   9.43   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.00  |   0.00   |   3.33   | 0.00***    |
| Dev. normal) . MIGRADE  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.04  |   0.01   |   7.36   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MIGRADE (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     | no      | -0.07 |   0.00   |  -14.80  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MINRAD (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      | sqrt    | -0.04 |   0.04   |  -1.05   | 0.29       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 |         | -0.68 |   0.06   |  -11.61  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      |         | -0.01 |   0.01   |  -1.00   | 0.32       |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -751.5066607483626
--------------------------------------------------------------------------------
bic: 1666.32
--------------------------------------------------------------------------------
MSE: 277.76
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.84 |   0.12   |  -23.13  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.72  |   0.09   |   8.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.05 |   0.03   |  -1.85   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.35  |   0.11   |   3.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.16 |   0.10   |  -1.63   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.35 |   0.15   |  -2.33   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.48  |   0.18   |   2.73   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.02  |   0.11   |   0.17   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   2.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.22  |   0.08   |   2.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.02 |   0.07   |  -0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.34  |   0.06   |   5.65   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.18 |   0.14   |  -1.36   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.37 |   0.16   |  -2.29   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.12  |   0.05   |   2.51   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.39 |   0.16   |  -2.50   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.02  |   0.04   |   0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.05  |   0.06   |   0.85   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.83  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.26 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.05  |   0.00   |  18.02   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.44  |   0.01   |  50.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.01  |   0.00   |  13.03   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.03 |   0.00   |  -9.03   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | -0.19 |   0.00   |  -38.89  | 0.00***    |
| lm_normal) . DECLANES   |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.20  |   0.01   |  20.59   | 0.00***    |
| Dev. normal) . DECLANES |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    | no      | -0.18 |   0.00   |  -48.40  | 0.00***    |
| Dev. normal) . FC (Std. |         |       |          |          |            |
| Dev.   lm_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DOUBLE: hetro     | arcsinh | -0.09 |   0.03   |  -3.25   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  |         | -0.50 |   0.04   |  -13.51  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: DOUBLE: hetro     |         | -0.05 |   0.01   |  -7.55   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -779.7218810455246
--------------------------------------------------------------------------------
bic: 1718.36
--------------------------------------------------------------------------------
MSE: 4868.53
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.41 |   0.35   |  -1.17   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.11  |   0.02   |   5.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.09 |   0.04   |  -2.22   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.04 |   0.22   |  -0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.62  |   0.10   |   6.05   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.06  |   0.01   |   4.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.06   |   1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.53  |   0.06   |   9.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.02  |   0.09   |   0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.79 |   0.10   |  -7.58   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.06 |   0.13   |  -0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.05   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.50  |   0.06   |   8.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.84 |   0.17   |  -4.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.04  |   0.04   |   1.24   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.42 |   0.26   |  -5.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.07 |   0.03   |  -2.69   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.04  |   0.02   |   2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.08 |   0.00   |  -44.68  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.07  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.05  |   0.00   |  12.22   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.06  |   0.00   |  19.77   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.00 |   0.00   |  -1.82   | 0.07.      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.00  |   0.00   |   6.56   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.22  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.02  |   0.00   |  49.77   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.06 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) . MIMEDSH  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.5169605732221
--------------------------------------------------------------------------------
bic: 1668.63
--------------------------------------------------------------------------------
MSE: 251.11
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.01  |   0.28   |   0.03   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.50  |   0.11   |  13.53   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.09 |   0.16   |  -0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.04 |   0.36   |  -0.12   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.11 |   0.07   |  -1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.10 |   0.04   |  -2.57   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.07 |   0.04   |  -1.63   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.40  |   0.20   |   1.97   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   1.03   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.47 |   0.38   |  -3.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.19  |   0.05   |   3.78   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.17  |   0.06   |   3.03   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.27  |   0.10   |   2.66   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.12 |   0.20   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.14 |   0.39   |  -0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.03 |   0.21   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   3.25   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.17 |   0.08   |  -2.07   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.35 |   0.09   |  -3.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.80   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.09 |   0.11   |  -0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.03 |   0.04   |  -0.67   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.21  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.07 |   0.00   |  -25.06  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.06 |   0.00   |  -43.35  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.28  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.01  |   0.00   |   6.25   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.02  |   0.01   |   1.51   | 0.13       |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.06 |   0.01   |  -11.16  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.10  |   0.01   |  10.43   | 0.00***    |
| Dev. uniform) . URB     |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -748.0172806641976
--------------------------------------------------------------------------------
bic: 1661.84
--------------------------------------------------------------------------------
MSE: 13305.90
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.45 |   0.91   |  -1.59   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.19 |   0.19   |  -0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.56  |   0.14   |   3.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.08 |   0.06   |  -1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.06  |   0.17   |   0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.04 |   0.04   |  -0.93   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.27   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.03 |   0.02   |  -1.82   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.01 |   0.04   |  -0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.05 |   0.01   |  -4.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.29  |   0.06   |   4.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.01  |   0.03   |   0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.38   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.35  |   0.03   |  12.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -1.22 |   0.18   |  -6.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.06  |   0.04   |   1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.06   |   1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.39 |   0.10   |  -3.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | 0.08  |   0.08   |   1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.58 |   0.19   |  -3.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.02 |   0.00   |  -7.07   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.09  |   0.01   |   7.31   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.71 |   0.01   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.05  |   0.00   |  31.10   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.22 |   0.01   |  -34.52  | 0.00***    |
| Dev. lm_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.21  |   0.01   |  21.82   | 0.00***    |
| Dev. tn_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 1.16  |   0.01   |  50.00   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| DOUBLE (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -730.6513805941343
--------------------------------------------------------------------------------
bic: 1625.11
--------------------------------------------------------------------------------
MSE: 210.47
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.13 |   0.12   |  -18.18  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.40 |   0.11   |  -3.49   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.26 |   0.09   |  -2.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.04   |  -1.61   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.20 |   0.14   |  -1.39   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.02  |   0.11   |   0.22   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.10  |   0.03   |   3.68   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.12  |   0.06   |   1.90   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.04  |   0.05   |   0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.17 |   0.14   |  -1.19   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.07  |   0.03   |   2.39   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.39  |   0.10   |   3.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.01   |   1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.08 |   0.07   |  -1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.55 |   0.12   |  -4.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.55 |   0.09   |  -6.48   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.23  |   0.06   |   3.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.00  |   0.10   |  10.16   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.23 |   0.06   |  -3.60   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.11 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.05 |   0.00   |  -39.82  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.01 |   0.00   |  -8.40   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -10.76  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.01 |   0.00   |  -3.34   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.07  |   0.00   |  26.61   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -1.71   | 0.09.      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.04  |   0.00   |  21.55   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | 0.65  |   0.01   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.20 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -768.9816140132305
--------------------------------------------------------------------------------
bic: 1697.38
--------------------------------------------------------------------------------
MSE: 217.58
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.81 |   0.27   |  -3.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.22 |   0.12   |  -1.73   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.02   |   3.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.01  |   0.04   |   0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.00 |   0.13   |  -0.03   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.13  |   0.21   |   0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.03  |   0.07   |   0.45   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.01   |   1.99   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.01   |   2.50   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.32 |   0.06   |  -5.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | -0.03 |   0.05   |  -0.55   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.47  |   0.05   |   9.22   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.00  |   0.03   |   0.16   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.84 |   0.16   |  -5.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.06  |   0.04   |   1.56   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | 0.02  |   0.05   |   0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -1.08 |   0.20   |  -5.37   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.01  |   0.05   |   0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.69  |   0.07   |  10.25   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.00  |   0.00   |   7.44   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.00  |   0.00   |   1.13   | 0.26       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.01  |   0.00   |  10.09   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.16 |   0.01   |  -18.57  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.33  |   0.00   |  50.00   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.04  |   0.00   |  26.76   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.04 |   0.00   |  -32.84  | 0.00***    |
| Dev. lm_normal) . WIDTH |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.43 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) . WIDTH    |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.12 |   0.00   |  -30.32  | 0.00***    |
| Dev. normal) . MIMEDSH  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -736.5254312318363
--------------------------------------------------------------------------------
bic: 1614.79
--------------------------------------------------------------------------------
MSE: 254.10
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.20 |   0.38   |  -0.52   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.11  |   0.19   |   5.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.08 |   0.04   |  -2.06   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.59 |   0.28   |  -2.08   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.09 |   0.04   |  -2.35   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.15  |   0.07   |   2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.01   |   2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.18  |   0.17   |   1.05   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.04  |   0.05   |   0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.46 |   0.12   |  -3.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.11  |   0.02   |   5.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.01 |   0.34   |  -2.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -3.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.23 |   0.11   |  -2.02   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.03 |   0.04   |  -0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.00  |   0.02   |   0.07   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.04  |   0.00   |  29.17   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |  12.14   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.01  |   0.00   |  12.29   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.92 |   0.01   |  -50.00  | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | -0.03 |   0.00   |  -17.72  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.00  |   0.00   |   0.19   | 0.85       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 0.01  |   0.00   |   2.53   | 0.01*      |
| Dev. tn_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.01 |   0.00   |  -5.36   | 0.00***    |
| Dev. normal) . URB      |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.02  |   0.00   |  16.37   | 0.00***    |
| Dev. normal) . SINGLE   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -736.7747590084505
--------------------------------------------------------------------------------
bic: 1657.04
--------------------------------------------------------------------------------
MSE: 970.13
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.42 |   0.49   |  -0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.33  |   0.11   |  11.57   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.11  |   0.22   |   0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.06  |   0.07   |   0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.34  |   0.25   |   1.36   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.01 |   0.01   |  -1.06   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.04  |   0.10   |   0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.03  |   0.02   |   1.77   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.98 |   0.22   |  -4.54   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.56 |   0.34   |  -1.65   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.01  |   0.05   |   0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.08 |   0.07   |  -1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.22 |   0.10   |  -2.27   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.25  |   0.15   |   1.66   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.14 |   0.21   |  -0.65   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.25 |   0.29   |  -0.85   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.16  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.01  |   0.00   |   5.05   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.03  |   0.00   |  10.58   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.02 |   0.00   |  -4.95   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | 0.59  |   0.01   |  40.35   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 1.18  |   0.01   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.05 |   0.00   |  -20.78  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 0.45  |   0.03   |  15.78   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MXMEDSH (Std. Dev.      |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.91 |   0.02   |  -42.73  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MXMEDSH (Std. Dev.      |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     | no      | -1.06 |   0.01   |  -50.00  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| SINGLE (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    | no      | 0.02  |   0.03   |   0.56   | 0.57       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 | no      | -0.03 |   0.04   |  -0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  | no      | -0.04 |   0.10   |  -0.36   | 0.72       |
| 1                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE: hetro group 1    |         | 0.08  |   0.05   |   1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    |         | -0.07 |   0.02   |  -3.70   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  |         | -0.11 |   0.10   |  -1.06   | 0.29       |
| 1:uniform:sd  hetro     |         |       |          |          |            |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -747.6582785674304
--------------------------------------------------------------------------------
bic: 1653.34
--------------------------------------------------------------------------------
MSE: 289.48
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.46 |   0.66   |  -0.70   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.90  |   0.17   |   5.41   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.22 |   0.27   |  -0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.17 |   0.31   |  -0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.02 |   0.07   |  -0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.08 |   0.07   |  -1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.02  |   0.02   |   0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.04   |   1.73   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.00  |   0.06   |   0.03   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.15 |   0.13   |  -1.17   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.21  |   0.10   |   2.07   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.04   |   1.76   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.02 |   0.43   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.19  |   0.23   |   0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.03   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.31 |   0.24   |  -1.29   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.42 |   0.29   |  -4.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.19 |   0.16   |  -1.22   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.52   | 0.60       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.00  |   0.00   |   0.36   | 0.72       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -0.03   | 0.98       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.00   |  -0.28   | 0.78       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.00 |   0.00   |  -0.02   | 0.99       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.00  |   0.00   |   2.30   | 0.02*      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   0.33   | 0.74       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.37 |   0.01   |  -26.97  | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.42  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -745.4268077868542
--------------------------------------------------------------------------------
bic: 1689.63
--------------------------------------------------------------------------------
MSE: 1284.25
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.47 |   0.30   |  -1.60   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.21 |   0.29   |  -0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.15 |   0.31   |  -0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.50 |   0.30   |  -4.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.20 |   0.17   |  -1.21   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.00 |   0.06   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.24 |   0.30   |  -0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.30   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.17  |   0.10   |   1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.19 |   0.24   |  -0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.45  |   0.23   |   1.93   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.02  |   0.05   |   0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.03  |   0.13   |   0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.22 |   0.12   |  -1.81   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.03  |   0.04   |   0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.83  |   0.19   |   4.44   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.00 |   0.07   |  -0.03   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.09  |   0.11   |   0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.32  |   0.01   |  24.41   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.60   | 0.55       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.00 |   0.00   |  -0.25   | 0.80       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.00   |  -0.22   | 0.83       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.00  |   0.00   |   0.22   | 0.83       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.00  |   0.00   |   0.15   | 0.88       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | 0.03  |   0.04   |   0.77   | 0.44       |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.00 |   0.00   |  -0.54   | 0.59       |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.00 |   0.01   |  -0.17   | 0.87       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.00 |   0.01   |  -0.43   | 0.67       |
| normal) . LENGTH (Std.  |         |       |          |          |            |
| Dev.   triangular )     |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.03 |   0.04   |  -0.70   | 0.49       |
| Dev. uniform) . LENGTH  |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.00  |   0.01   |   0.41   | 0.68       |
| Dev. uniform) . TRAIN   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | no      | 0.01  |   0.04   |   0.18   | 0.86       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS: hetro group 0   | no      | -0.09 |   0.24   |  -0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | -0.05 |   0.03   |  -1.67   | 0.10       |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.42  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -739.8911595551681
--------------------------------------------------------------------------------
bic: 1646.09
--------------------------------------------------------------------------------
MSE: 273.19
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.34 |   0.74   |  -0.46   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.00  |   0.09   |  11.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.32 |   0.19   |  -1.70   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.37 |   0.20   |  -1.81   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | 0.00  |   0.00   |   0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.04  |   0.12   |   0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.21  |   0.17   |   1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.08 |   0.06   |  -1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.55   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.39 |   0.18   |  -2.12   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.00  |   0.04   |   0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.09 |   0.09   |  -1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.06   |   3.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.59  |   0.13   |   4.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.33 |   0.22   |  -5.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.02  |   0.02   |   0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.01   |   0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.32 |   0.10   |  -3.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.00  |   0.02   |   0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -2.27   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.27  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.00 |   0.00   |  -0.11   | 0.91       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | 0.00  |   0.00   |   2.09   | 0.04*      |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -1.00   | 0.32       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 1.15  |   0.01   |  50.00   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.02 |   0.00   |  -17.23  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.00 |   0.00   |  -24.72  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.16 |   0.00   |  -46.27  | 0.00***    |
| Dev. normal) . URB      |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.02  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . URB      |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.00  |   0.00   |  39.84   | 0.00***    |
| Dev. normal) . CURVES   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -733.7436924007226
--------------------------------------------------------------------------------
bic: 1643.58
--------------------------------------------------------------------------------
MSE: 2981.36
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.28 |   0.73   |  -0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.12  |   0.11   |  10.25   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.23 |   0.20   |  -1.14   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | 0.03  |   0.01   |   2.04   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.04 |   0.19   |  -0.18   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.00 |   0.05   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.27  |   0.19   |   1.41   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.02   |   3.16   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.13  |   0.06   |   1.98   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.04  |   0.07   |   0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.04 |   0.03   |  -1.21   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.61 |   0.29   |  -5.48   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.10  |   0.05   |   1.99   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.21 |   0.17   |  -1.21   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.16 |   0.28   |  -0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | -0.00 |   0.03   |  -0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.11 |   0.04   |  -2.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.02  |   0.06   |   0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.34 |   0.20   |  -1.72   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.25  |   0.06   |   4.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.02  |   0.03   |   0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.17 |   0.08   |  -2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.05  |   0.00   |  34.43   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | -0.01 |   0.00   |  -7.29   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.07 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) uniform  |         | -0.02 |   0.00   |  -16.71  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.05 |   0.01   |  -8.49   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.03 |   0.00   |  -9.81   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.08  |   0.00   |  44.82   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.42  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.00 |   0.00   |  -12.39  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.22 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -733.8992206957682
--------------------------------------------------------------------------------
bic: 1634.11
--------------------------------------------------------------------------------
MSE: 327.68
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.67 |   0.58   |  -1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.02  |   0.09   |  11.54   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.16 |   0.10   |  -1.65   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.01  |   0.02   |   0.56   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.10  |   0.14   |   0.72   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.06  |   0.03   |   2.00   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.02 |   0.07   |  -0.31   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.67   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.13  |   0.11   |   1.22   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -2.05 |   0.27   |  -7.56   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.17 |   0.13   |  -1.33   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.00 |   0.08   |  -0.00   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.02 |   0.00   |  -8.08   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.23 |   0.01   |  -45.45  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.01  |   0.00   |  19.92   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | -0.11 |   0.00   |  -36.97  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.01  |   0.00   |   4.89   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.16 |   0.01   |  -27.86  | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.07 |   0.00   |  -18.62  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.29 |   0.01   |  -29.18  | 0.00***    |
| normal) . SPEED (Std.   |         |       |          |          |            |
| Dev.   normal )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.02  |   0.00   |   3.60   | 0.00***    |
| Dev. uniform) . SPEED   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     | arcsinh | -0.00 |   0.00   |  -1.15   | 0.25       |
| Dev. uniform) . URB     |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | no      | 0.07  |   0.18   |   0.42   | 0.68       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 0  | no      | 0.01  |   0.04   |   0.22   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE: hetro group 0    | sqrt    | -0.02 |   0.07   |  -0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| main: ADTLANE: hetro    | arcsinh | -0.01 |   0.00   |  -2.90   | 0.00***    |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW: hetro group 1  |         | 0.01  |   0.05   |   0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | 0.03  |   0.03   |   1.16   | 0.25       |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: ADTLANE: hetro    |         | 0.01  |   0.00   |  11.26   | 0.00***    |
| group 1:normal:sd       |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.8034074020131
--------------------------------------------------------------------------------
bic: 1626.55
--------------------------------------------------------------------------------
MSE: 211.80
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.25 |   0.73   |  -1.71   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.49 |   0.11   |  -4.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.03  |   0.03   |   0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.04 |   0.01   |  -3.51   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.42 |   0.14   |  -2.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.12 |   0.16   |  -0.75   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.30   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.01 |   0.08   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.00  |   0.02   |   0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.00 |   0.04   |  -0.02   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -2.20   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.05  |   0.03   |   1.71   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.12  |   0.08   |  13.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.32 |   0.12   |  -10.62  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.07 |   0.12   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.36  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.05  |   0.00   |  33.83   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   4.01   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. | arcsinh | 0.08  |   0.00   |  19.60   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    | arcsinh | 0.41  |   0.15   |   2.81   | 0.01*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR: hetro group 0   | no      | 0.18  |   0.19   |   0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 0  |         | -0.05 |   0.05   |  -1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    |         | -0.22 |   0.02   |  -10.44  | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -744.1554264265961
--------------------------------------------------------------------------------
bic: 1627.65
--------------------------------------------------------------------------------
MSE: 485.05
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.23 |   0.52   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.69 |   0.10   |  -6.62   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.05 |   0.08   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.07 |   0.10   |  -0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | 0.10  |   0.18   |   0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.06 |   0.04   |  -1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.03 |   0.04   |  -0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.27  |   0.09   |   3.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.10  |   0.03   |   3.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.03  |   0.03   |   1.07   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.04 |   0.18   |  -5.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.42 |   0.09   |  -4.73   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.06   |   3.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.98  |   0.07   |  13.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.11  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | 0.00  |   0.00   |   0.39   | 0.70       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.17  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     | no      | 0.02  |   0.00   |  11.65   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | arcsinh | 0.00  |   0.02   |   0.22   | 0.83       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   | no      | 0.02  |   0.02   |   0.87   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 | no      | -0.01 |   0.03   |  -0.39   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE: hetro group 0    |         | 0.12  |   0.06   |   1.95   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | -0.02 |   0.01   |  -2.31   | 0.02*      |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -740.3251291008744
--------------------------------------------------------------------------------
bic: 1667.64
--------------------------------------------------------------------------------
MSE: 262.13
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.34 |   0.75   |  -0.45   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.91  |   0.31   |   2.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.28 |   0.17   |  -1.67   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | -0.15 |   0.12   |  -1.24   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.18  |   0.15   |   1.20   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.03   |   0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.10  |   0.15   |   0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.43 |   0.26   |  -5.49   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.13  |   0.12   |   1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.25  |   0.10   |   2.42   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.01  |   0.04   |   0.27   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.08 |   0.14   |  -0.56   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.52  |   0.21   |   2.49   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.19 |   0.29   |  -0.65   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.05   |  -0.93   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.02 |   0.06   |  -0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.03   |   0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.20 |   0.20   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.15 |   0.20   |  -0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.16 |   0.15   |  -1.05   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.01  |   0.02   |   0.35   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.00  |   0.01   |   0.04   | 0.97       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.24   | 0.81       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.00  |   0.02   |   0.09   | 0.93       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) uniform  |         | -0.00 |   0.00   |  -0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.00   |  -0.03   | 0.97       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.00  |   0.00   |   0.10   | 0.92       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.00 |   0.00   |  -0.64   | 0.52       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.00 |   0.00   |  -1.05   | 0.30       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.00  |   0.00   |   0.51   | 0.61       |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.00  |   0.00   |   0.35   | 0.73       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.00 |   0.00   |  -0.04   | 0.97       |
| Dev. uniform) . WIDTH   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.26  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -741.946916272323
--------------------------------------------------------------------------------
bic: 1649.70
--------------------------------------------------------------------------------
MSE: 317.29
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.18 |   0.83   |  -0.22   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.07  |   0.11   |  10.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.49 |   0.18   |  -2.77   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.13 |   0.10   |  -1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.07 |   0.27   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.12 |   0.17   |  -0.70   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.12 |   0.08   |  -1.53   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.19 |   0.21   |  -0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.02  |   0.04   |   0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.08 |   0.35   |  -3.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -3.30   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.06   |   1.75   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.17  |   0.07   |   2.39   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.21  |   0.08   |   2.61   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.03 |   0.05   |  -0.64   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.02  |   0.10   |   0.18   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.10  |   0.04   |   2.74   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.13  |   0.09   |   1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.45 |   0.36   |  -1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.30 |   0.11   |  -2.82   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.04  |   0.06   |   0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.11 |   0.00   |  -45.50  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.18  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.20 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.00 |   0.00   |  -0.15   | 0.88       |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.77  |   0.01   |  50.00   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.02 |   0.00   |  -4.63   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.88  |   0.02   |  50.00   | 0.00***    |
| uniform) . SPEED (Std.  |         |       |          |          |            |
| Dev.   uniform )        |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.07 |   0.01   |  -10.52  | 0.00***    |
| Dev. tn_normal) . SPEED |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.29 |   0.01   |  -39.57  | 0.00***    |
| Dev. tn_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -761.3180249863341
--------------------------------------------------------------------------------
bic: 1698.23
--------------------------------------------------------------------------------
MSE: 968.94
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.30  |   0.74   |   0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.20  |   0.02   |  12.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.52  |   0.17   |   3.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.15 |   0.11   |  -1.39   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.14  |   0.16   |   0.85   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.22 |   0.18   |  -1.22   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.72   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   3.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.00 |   0.04   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.44 |   0.30   |  -1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.40 |   0.10   |  -4.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.05   |   2.17   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.31  |   0.05   |   5.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.33  |   0.11   |   3.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.11 |   0.07   |  -1.68   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.21 |   0.18   |  -1.21   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.34 |   0.20   |  -1.71   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.05 |   0.05   |  -0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.13  |   0.08   |   1.56   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.06 |   0.03   |  -1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.88 |   0.32   |  -2.77   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.02 |   0.04   |  -0.46   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.20  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.04 |   0.00   |  -34.64  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.02  |   0.01   |   2.97   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.07  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.08  |   0.00   |  44.79   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.01  |   0.00   |   6.83   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.09  |   0.00   |  48.42   | 0.00***    |
| lm_normal) . MIMEDSH    |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | -0.11 |   0.00   |  -50.00  | 0.00***    |
| triangular) . MIMEDSH   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.04  |   0.00   |  23.53   | 0.00***    |
| triangular) . SPEED     |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -772.7399882456444
--------------------------------------------------------------------------------
bic: 1698.50
--------------------------------------------------------------------------------
MSE: 438.68
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.15 |   0.14   |  -1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.74 |   0.20   |  -3.67   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.07 |   0.09   |  -0.82   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.03   |  -0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.36  |   0.10   |   3.53   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.00 |   0.02   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.35 |   0.07   |  -5.05   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.24 |   0.11   |  -2.26   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.16  |   0.09   |   1.86   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.11  |   0.02   |   4.83   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.04 |   0.04   |  -0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.01   |   3.42   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.46  |   0.07   |   6.62   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.58 |   0.14   |  -4.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.56  |   0.05   |  11.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.65 |   0.18   |  -3.62   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.10  |   0.05   |   2.12   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.16  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.27  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.03 |   0.00   |  -7.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.03 |   0.00   |  -26.10  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.04  |   0.00   |  18.87   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.07 |   0.00   |  -34.31  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.05 |   0.00   |  -24.07  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.24  |   0.00   |  50.00   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | 0.01  |   0.00   |   4.47   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.37 |   0.00   |  -50.00  | 0.00***    |
| normal) . SPEED (Std.   |         |       |          |          |            |
| Dev.   lm_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -748.7561217784022
--------------------------------------------------------------------------------
bic: 1672.11
--------------------------------------------------------------------------------
MSE: 818.98
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.72 |   0.60   |  -1.20   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.09 |   0.21   |  -0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.06  |   0.03   |   1.79   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.04 |   0.02   |  -2.19   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.20 |   0.17   |  -1.19   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.72 |   0.16   |  -10.83  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -1.79   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.06  |   0.02   |   2.29   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -0.87   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.48  |   0.11   |  13.22   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.37 |   0.24   |  -1.53   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.36 |   0.11   |  -3.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.08 |   0.05   |  -1.65   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.01 |   0.04   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   1.33   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.00 |   0.02   |  -0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.17 |   0.25   |  -0.70   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.15  |   0.06   |   2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.26  |   0.08   |   3.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.02 |   0.00   |  -11.22  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.04  |   0.00   |  16.51   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -1.54 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.00  |   0.00   |   4.34   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.09  |   0.00   |  48.89   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.01  |   0.00   |  13.82   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.07  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | 0.43  |   0.01   |  50.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.23 |   0.00   |  -50.00  | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.14 |   0.00   |  -50.00  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.54 |   0.01   |  -50.00  | 0.00***    |
| tn_normal) . DOUBLE     |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.57 |   0.01   |  -50.00  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| DOUBLE (Std. Dev.       |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.12  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) . SLOPE |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -753.3745184127673
--------------------------------------------------------------------------------
bic: 1660.77
--------------------------------------------------------------------------------
MSE: 425.21
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -6.90 |   0.17   |  -40.14  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.14  |   0.12   |   9.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.32 |   0.16   |  -2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.37 |   0.19   |  -1.91   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.36  |   0.13   |   2.73   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.24 |   0.15   |  -1.60   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.10 |   0.04   |  -2.66   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.10 |   0.04   |  -2.49   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.00  |   0.04   |   0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | -0.16 |   0.08   |  -2.07   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.00  |   0.02   |   0.03   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.26  |   0.09   |   2.76   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -3.51   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.09  |   0.05   |   1.86   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.07   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   2.46   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.01 |   0.00   |  -3.87   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -1.15   | 0.25       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.04  |   0.00   |  21.45   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.04  |   0.00   |  18.69   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     | no      | 0.01  |   0.00   |   7.99   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| MXGRADE (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      | no      | 0.00  |   0.01   |   0.15   | 0.88       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 0  | arcsinh | 0.01  |   0.04   |   0.12   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT: hetro group 0  | no      | 0.07  |   0.09   |   0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 0 |         | 0.19  |   0.05   |   3.62   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      |         | -0.01 |   0.00   |  -4.35   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -755.7112516662129
--------------------------------------------------------------------------------
bic: 1664.44
--------------------------------------------------------------------------------
MSE: 317.84
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.57 |   0.31   |  -8.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.79  |   0.08   |   9.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.31 |   0.18   |  -1.72   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.00  |   0.03   |   0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.10 |   0.11   |  -0.87   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.11 |   0.03   |  -3.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.34  |   0.19   |   1.79   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.05  |   0.03   |   1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.25  |   0.06   |   3.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.07  |   0.03   |   2.64   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.14 |   0.22   |  -0.65   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.06  |   0.04   |   1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.06 |   0.16   |  -0.39   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.67 |   0.03   |  -19.38  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.01 |   0.01   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.09  |   0.02   |   4.49   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.11 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) uniform  |         | -0.05 |   0.00   |  -35.80  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.14 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.02 |   0.00   |  -50.00  | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | -0.03 |   0.00   |  -42.06  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.01 |   0.00   |  -15.60  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) . WIDTH |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.04  |   0.00   |  42.86   | 0.00***    |
| Dev. normal) . WIDTH    |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.02  |   0.00   |  24.05   | 0.00***    |
| Dev. normal) . MXMEDSH  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
failed to converge..
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -777.5903081416996
--------------------------------------------------------------------------------
bic: 1719.99
--------------------------------------------------------------------------------
MSE: 5238.22
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.77 |   0.69   |  -1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.13 |   0.21   |  -0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.53 |   0.25   |  -2.06   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.09  |   0.02   |   4.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.05 |   0.25   |  -0.21   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.58  |   0.07   |   8.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.05  |   0.07   |   0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.02  |   0.02   |   1.27   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.29 |   0.10   |  -2.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.11 |   0.13   |  -0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.06  |   0.11   |   0.52   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.13  |   0.31   |   0.42   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.33 |   0.28   |  -4.69   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.17  |   0.01   |  14.53   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.04  |   0.00   |  28.18   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.06 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.29  |   0.01   |  40.64   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.82 |   0.01   |  -50.00  | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.34 |   0.01   |  -24.52  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.02 |   0.00   |  -20.61  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -1.00 |   0.01   |  -50.00  | 0.00***    |
| triangular) . URB (Std. |         |       |          |          |            |
| Dev.   lm_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 1.34  |   0.03   |  50.00   | 0.00***    |
| Dev. lm_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.68 |   0.02   |  -37.77  | 0.00***    |
| Dev. lm_normal) . TRAIN |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.21 |   0.03   |  -6.83   | 0.00***    |
| Dev. tn_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.47  |   0.02   |  21.25   | 0.00***    |
| Dev. tn_normal) . TRAIN |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   | arcsinh | 0.29  |   0.01   |  27.47   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| PEAKHR (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXGRDIFF: hetro   | no      | 0.40  |   0.08   |   4.86   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE: hetro group 0    | arcsinh | -0.06 |   0.06   |  -0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW: hetro group 0  |         | -0.08 |   0.06   |  -1.36   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXGRDIFF: hetro   |         | -0.04 |   0.03   |  -1.34   | 0.18       |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -738.925012559353
--------------------------------------------------------------------------------
bic: 1660.84
--------------------------------------------------------------------------------
MSE: 316.78
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.58 |   0.26   |  -2.25   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.01  |   0.14   |   7.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.30 |   0.13   |  -2.27   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.36 |   0.14   |  -2.52   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.10 |   0.21   |  -0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.00  |   0.02   |   0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.02 |   0.09   |  -0.17   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.21 |   0.20   |  -1.05   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.43 |   0.13   |  -3.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.08   |   0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.23  |   0.07   |   3.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.02   |   0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.07  |   0.06   |   1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.05   |  -1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.05   |   0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.02 |   0.05   |  -0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.15 |   0.15   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.04  |   0.11   |   0.34   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.22 |   0.10   |  -2.27   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.84   | 0.40       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) uniform  |         | 0.00  |   0.00   |   0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -0.06   | 0.95       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.02 |   0.01   |  -2.22   | 0.03*      |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.00  |   0.00   |   0.16   | 0.87       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.04 |   0.01   |  -3.12   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | 0.40  |   0.01   |  42.22   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.00  |   0.00   |   0.11   | 0.92       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.46 |   0.01   |  -50.00  | 0.00***    |
| uniform) . URB (Std.    |         |       |          |          |            |
| Dev.   lm_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.09 |   0.00   |  -41.98  | 0.00***    |
| Dev. tn_normal) . TRAIN |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 3.61  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -756.763780045522
--------------------------------------------------------------------------------
bic: 1684.73
--------------------------------------------------------------------------------
MSE: 258.35
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.11 |   0.92   |  -0.12   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.38 |   0.22   |  -1.71   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.14 |   0.19   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.00 |   0.03   |  -0.02   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.19 |   0.12   |  -1.58   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.05   |  -0.91   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.07 |   0.25   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.06 |   0.06   |  -1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.03   |   2.60   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.22 |   0.08   |  -2.77   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.31 |   0.30   |  -4.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.24 |   0.09   |  -2.57   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.14  |   0.06   |   2.33   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -1.03   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.05  |   0.03   |   2.07   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.01 |   0.02   |  -0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   1.20   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.02   |   1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.04   |   0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.32  |   0.10   |   3.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.60  |   0.11   |  14.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.03  |   0.08   |   0.34   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.02  |   0.00   |  32.99   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.00  |   0.00   |  10.41   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.04  |   0.00   |  42.91   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | -0.33 |   0.01   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | 0.21  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | 0.02  |   0.00   |   5.11   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.16 |   0.01   |  -29.67  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -748.7212502698785
--------------------------------------------------------------------------------
bic: 1669.25
--------------------------------------------------------------------------------
MSE: 387.70
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.52 |   0.24   |  -2.14   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.98  |   0.14   |   6.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.07  |   0.44   |   0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.08 |   0.33   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | -0.17 |   0.21   |  -0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.05   |   1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.03 |   0.12   |  -0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.11 |   0.23   |  -0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.03   |  -1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.27 |   0.24   |  -1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.11   |   1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.30  |   0.12   |   2.60   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.03  |   0.06   |   0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.05   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.81 |   1.00   |  -0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.24 |   0.21   |  -1.10   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.06  |   0.04   |   1.50   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.17 |   0.19   |  -0.87   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.08   |  -0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.00  |   0.00   |   0.08   | 0.94       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.20   | 0.84       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.00 |   0.00   |  -0.07   | 0.95       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.01 |   0.03   |  -0.45   | 0.66       |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | -0.00 |   0.00   |  -0.43   | 0.67       |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.00  |   0.00   |   0.25   | 0.80       |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | -0.00 |   0.01   |  -0.07   | 0.95       |
| normal) . URB (Std.     |         |       |          |          |            |
| Dev.   uniform )        |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.00  |   0.00   |   0.01   | 0.99       |
| Dev. triangular) . URB  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.00  |   0.00   |   0.38   | 0.70       |
| Dev. triangular) . FC   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.06  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -749.1995025729694
--------------------------------------------------------------------------------
bic: 1667.10
--------------------------------------------------------------------------------
MSE: 571.05
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.04 |   0.32   |  -3.25   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.27 |   0.11   |  -2.41   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.08 |   0.05   |  -1.79   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.04  |   0.24   |   0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.01  |   0.08   |   0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   2.08   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.04  |   0.03   |   1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.40 |   0.09   |  -4.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.25  |   0.06   |   3.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.44  |   0.14   |   3.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.23  |   0.17   |   1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.01 |   0.02   |  -0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.07 |   0.04   |  -1.59   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.04 |   0.01   |  -3.44   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.13 |   0.04   |  -3.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.48 |   0.16   |  -3.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.00 |   0.02   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.54  |   0.01   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.14  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.02 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.02 |   0.00   |  -20.26  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.30  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.04 |   0.00   |  -50.00  | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.09  |   0.00   |  40.77   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.13 |   0.00   |  -50.00  | 0.00***    |
| tn_normal) . MIMEDSH    |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.01  |   0.00   |   4.15   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     | sqrt    | 0.01  |   0.00   |  17.12   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| SPEED (Std. Dev.        |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     | no      | 1.06  |   0.15   |   7.14   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE: hetro group 0    |         | 0.12  |   0.05   |   2.12   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     |         | -0.39 |   0.08   |  -5.15   | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -742.8754091788263
--------------------------------------------------------------------------------
bic: 1640.27
--------------------------------------------------------------------------------
MSE: 240.44
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.53 |   0.67   |  -0.79   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | 0.03  |   0.16   |   0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.18 |   0.24   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.01   |   1.27   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.00 |   0.04   |  -0.02   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.03   |   2.40   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.00 |   0.03   |  -0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.52 |   0.07   |  -21.77  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.21  |   0.10   |   2.00   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.36  |   0.10   |  13.60   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.47 |   0.08   |  -6.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.39  |   0.10   |   4.05   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.16  |   0.07   |   2.25   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.29 |   0.03   |  -9.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.23 |   0.15   |  -1.50   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.05 |   0.08   |  -0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.09 |   0.05   |  -1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.01  |   0.00   |   1.46   | 0.14       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.22 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.05 |   0.00   |  -36.87  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.02 |   0.00   |  -4.74   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.69  |   0.01   |  50.00   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.03 |   0.00   |  -13.60  | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.04 |   0.00   |  -14.24  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.14 |   0.00   |  -32.21  | 0.00***    |
| normal) . URB (Std.     |         |       |          |          |            |
| Dev.   uniform )        |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.29  |   0.01   |  36.52   | 0.00***    |
| Dev. tn_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.03  |   0.01   |   5.29   | 0.00***    |
| Dev. tn_normal) . TRAIN |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -769.3264946715198
--------------------------------------------------------------------------------
bic: 1705.96
--------------------------------------------------------------------------------
MSE: 4774.76
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -5.22 |   0.16   |  -32.53  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.48 |   0.14   |  -3.33   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.01 |   0.05   |  -0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.32 |   0.09   |  -3.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.02 |   0.07   |  -0.31   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.21  |   0.15   |   1.36   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.15  |   0.16   |   0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.06   |   0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.20  |   0.09   |   2.35   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.01  |   0.25   |   4.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.06  |   0.05   |   1.19   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.13   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.04 |   0.09   |  -0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.89 |   0.12   |  -7.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | -0.03 |   0.03   |  -0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.65 |   0.28   |  -2.33   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.01  |   0.00   |   1.77   | 0.08.      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.92   | 0.36       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.00  |   0.00   |   0.47   | 0.64       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.00   |  -0.42   | 0.67       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | -0.06 |   0.01   |  -5.85   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.03  |   0.00   |  19.15   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.00 |   0.00   |  -0.03   | 0.98       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.08  |   0.00   |  37.45   | 0.00***    |
| Dev. uniform) . SINGLE  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.57 |   0.01   |  -50.00  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| SINGLE (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.23 |   0.01   |  -38.78  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| PEAKHR (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: TANGENT: hetro    | no      | 0.01  |   0.05   |   0.16   | 0.87       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE: hetro group 0   | arcsinh | 0.08  |   0.11   |   0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| main: TANGENT: hetro    |         | -0.01 |   0.07   |  -0.15   | 0.88       |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.17  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -730.0291720384052
--------------------------------------------------------------------------------
bic: 1620.97
--------------------------------------------------------------------------------
MSE: 4865.83
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.99 |   0.80   |  -1.24   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.06  |   0.08   |  14.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.08 |   0.17   |  -0.46   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.02 |   0.04   |  -0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.15 |   0.24   |  -0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.02  |   0.04   |   0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.10  |   0.02   |   4.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.15  |   0.08   |   1.86   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.19 |   0.15   |  -1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.00 |   0.00   |  -1.58   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.16 |   0.48   |  -0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.37 |   0.46   |  -0.79   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.05  |   0.03   |   2.08   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.22  |   0.70   |   0.31   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.59 |   0.36   |  -4.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.03  |   0.04   |   0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.48 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.02  |   0.00   |  11.56   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.09 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.96 |   0.01   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.02  |   0.00   |  19.75   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | 0.04  |   0.00   |  15.95   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.71  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| PEAKHR (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.04 |   0.00   |  -12.99  | 0.00***    |
| tn_normal) . PEAKHR     |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. | no      | -0.11 |   0.00   |  -29.47  | 0.00***    |
| tn_normal) . FRICTION   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      | no      | -0.03 |   0.08   |  -0.40   | 0.69       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT: hetro group 0  | no      | -0.02 |   0.04   |  -0.52   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 |         | 0.02  |   0.04   |   0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      |         | 0.09  |   0.02   |   5.17   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -734.7994658426782
--------------------------------------------------------------------------------
bic: 1631.51
--------------------------------------------------------------------------------
MSE: 237.81
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.17 |   0.45   |  -0.38   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.05  |   0.08   |  12.66   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.02 |   0.04   |  -0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.06 |   0.21   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.16  |   0.23   |   0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.03 |   0.19   |  -0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   2.72   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.02  |   0.02   |   0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.07 |   0.09   |  -0.75   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.32 |   0.19   |  -1.68   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.12  |   0.06   |   2.09   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.06   |   3.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.26  |   0.11   |   2.32   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   0.87   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.33 |   0.32   |  -4.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.24 |   0.09   |  -2.69   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.32 |   0.13   |  -2.51   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.04  |   0.00   |  27.26   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.12 |   0.00   |  -37.18  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.05 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   | no      | 1.16  |   0.01   |  50.00   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    | no      | -0.02 |   0.04   |  -0.64   | 0.52       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED: hetro group 0    | no      | -0.02 |   0.02   |  -1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW: hetro group 0  | no      | -0.01 |   0.02   |  -0.42   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   | arcsinh | -0.66 |   0.14   |  -4.85   | 0.00***    |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH: hetro group 1  | no      | 0.55  |   0.14   |   3.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 1  |         | -0.04 |   0.05   |  -0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    |         | -0.00 |   0.00   |  -0.58   | 0.56       |
| group 0:tn_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   |         | 0.14  |   0.03   |   4.40   | 0.00***    |
| group 1:normal:sd       |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -748.1487465364344
--------------------------------------------------------------------------------
bic: 1661.21
--------------------------------------------------------------------------------
MSE: 201.52
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.52 |   5.94   |  -0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.14  |   0.17   |   6.61   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.16 |   0.27   |  -0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.06 |   0.08   |  -0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.02 |   0.03   |  -0.87   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.08  |   0.52   |   0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.34 |   0.29   |  -1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.11   |   1.70   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.17  |   0.22   |   0.75   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.28 |   0.19   |  -1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.05  |   0.04   |   1.41   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.19 |   0.18   |  -1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.15  |   0.11   |   1.40   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.03 |   0.12   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.06   |   0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.03   |  -0.12   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.17 |   1.11   |  -1.05   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.04   |   1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.00  |   0.00   |   0.11   | 0.91       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.53   | 0.60       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.03  |   0.07   |   0.41   | 0.69       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.00 |   0.01   |  -0.23   | 0.82       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.00  |   0.01   |   0.03   | 0.98       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.00  |   0.00   |   0.21   | 0.83       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -0.01   | 0.99       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.00 |   0.00   |  -0.63   | 0.53       |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.00 |   0.00   |  -0.80   | 0.42       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.00 |   0.00   |  -0.66   | 0.51       |
| Dev. tn_normal) . SPEED |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.12  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -733.2547421648974
--------------------------------------------------------------------------------
bic: 1630.82
--------------------------------------------------------------------------------
MSE: 213.66
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.23 |   0.29   |  -0.79   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 0.97  |   0.11   |   8.83   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.24 |   0.10   |  -2.43   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.02 |   0.01   |  -1.93   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.07 |   0.04   |  -1.82   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.02 |   0.04   |  -0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.26  |   0.18   |   1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.01   |   4.04   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.07  |   0.07   |   0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.01  |   0.03   |   0.46   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.28 |   0.22   |  -5.77   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.22 |   0.08   |  -2.75   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.14  |   0.05   |   2.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.63  |   0.12   |   5.42   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.44 |   0.12   |  -3.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | -0.02 |   0.05   |  -0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.01   |   0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.56 |   0.12   |  -4.70   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.17  |   0.07   |   2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.64   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.06  |   0.00   |  29.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.74  |   0.01   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.01  |   0.00   |   5.65   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   1.91   | 0.06.      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | -0.57 |   0.01   |  -50.00  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.13  |   0.01   |  21.52   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.03 |   0.00   |  -21.84  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.22  |   0.01   |  42.09   | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.02  |   0.00   |   6.90   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.07 |   0.00   |  -42.39  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| GRADEBR (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -744.965485578689
--------------------------------------------------------------------------------
bic: 1670.53
--------------------------------------------------------------------------------
MSE: 227.89
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.42 |   0.29   |  -1.45   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.17 |   0.27   |  -0.62   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.21  |   0.20   |   1.03   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.04  |   0.03   |   1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.25 |   0.15   |  -1.68   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.57 |   0.20   |  -7.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.10  |   0.08   |   1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.29  |   0.09   |   3.17   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.86  |   0.11   |   8.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.05 |   0.05   |  -0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.03   |   2.11   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.10 |   0.05   |  -2.00   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.01 |   0.05   |  -0.17   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.12 |   0.11   |  -1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.06 |   0.08   |  -0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.08 |   0.32   |  -0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.03   |   0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.00 |   0.00   |  -0.03   | 0.98       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.35   | 0.73       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.32   | 0.75       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | -0.00 |   0.00   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.00  |   0.00   |   0.62   | 0.54       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.00 |   0.00   |  -0.63   | 0.53       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.01   |  -0.29   | 0.77       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | -0.07 |   0.01   |  -6.80   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.00 |   0.00   |  -0.22   | 0.82       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.01  |   0.00   |   5.60   | 0.00***    |
| Dev. normal) . DECLANES |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  | no      | -0.17 |   0.14   |  -1.17   | 0.24       |
| 0                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 0  | no      | -0.01 |   0.06   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE: hetro group 0  | arcsinh | 0.07  |   0.03   |   2.16   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  |         | -0.01 |   0.22   |  -0.05   | 0.96       |
| 0:uniform:sd  hetro     |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.18  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -743.2627064755377
--------------------------------------------------------------------------------
bic: 1646.44
--------------------------------------------------------------------------------
MSE: 288.74
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.12 |   0.50   |  -0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.26 |   0.07   |  -3.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.04 |   0.03   |  -1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | 0.12  |   0.25   |   0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.28 |   0.11   |  -2.60   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.22  |   0.18   |   1.21   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.01   |   2.14   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.02 |   0.09   |  -0.22   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.02  |   0.04   |   0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.21 |   0.30   |  -4.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.22  |   0.10   |   2.26   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.07  |   0.17   |   6.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.04  |   0.04   |   1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.06 |   0.09   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.00  |   0.02   |   0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.39 |   0.10   |  -4.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.06  |   0.06   |   0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.16 |   0.10   |  -1.58   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.11 |   0.01   |  -17.95  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.01 |   0.00   |  -3.46   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.04  |   0.00   |  44.83   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.08  |   0.00   |  23.69   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   | arcsinh | -0.51 |   0.01   |  -50.00  | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    | no      | 0.01  |   0.11   |   0.10   | 0.92       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 0 |         | 0.20  |   0.07   |   2.79   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    |         | 0.17  |   0.07   |   2.51   | 0.01*      |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -760.9763090502178
--------------------------------------------------------------------------------
bic: 1678.47
--------------------------------------------------------------------------------
MSE: 301.05
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -3.97 |   0.57   |  -6.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.37  |   0.21   |   6.57   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.05 |   0.21   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.28 |   0.12   |  -2.34   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.03  |   0.06   |   0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.05 |   0.12   |  -0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.04  |   0.09   |   0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.02   |   0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.35  |   0.12   |   2.83   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | 0.07  |   0.14   |   0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.02  |   0.03   |   0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.00  |   0.06   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.12 |   0.06   |  -2.20   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.02 |   0.16   |  -0.09   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.00 |   0.01   |  -0.01   | 0.99       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | -0.03 |   0.02   |  -1.27   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.00  |   0.00   |   0.65   | 0.52       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | -0.01 |   0.01   |  -2.81   | 0.01*      |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | 0.08  |   0.01   |   9.06   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.01 |   0.01   |  -1.67   | 0.10       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | 0.27  |   0.01   |  45.20   | 0.00***    |
| triangular) . FC (Std.  |         |       |          |          |            |
| Dev.   normal )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.45 |   0.01   |  -49.75  | 0.00***    |
| Dev. uniform) . FC      |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.14 |   0.01   |  -10.29  | 0.00***    |
| Dev. uniform) . TRAIN   |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | no      | 0.01  |   0.01   |   0.62   | 0.53       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 | no      | 0.00  |   0.05   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  | log     | -0.44 |   0.08   |  -5.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | -0.00 |   0.03   |  -0.01   | 1.00       |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 3.19  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -730.4308185000743
--------------------------------------------------------------------------------
bic: 1635.46
--------------------------------------------------------------------------------
MSE: 306.13
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.30 |   0.55   |  -4.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.01   |   2.60   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.00 |   0.02   |  -0.17   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.00  |   0.18   |   0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.00  |   0.04   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.28  |   0.06   |   4.48   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.32  |   0.09   |   3.56   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.90  |   0.09   |   9.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.24 |   0.18   |  -1.33   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.11  |   0.20   |   0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.05  |   0.02   |   2.59   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | 0.06  |   0.10   |   0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.01   |   1.28   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.55 |   0.07   |  -7.62   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.07  |   0.05   |   1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.31 |   0.08   |  -4.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | -0.15 |   0.10   |  -1.53   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.01  |   0.00   |   4.22   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.02 |   0.00   |  -12.29  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.01  |   0.00   |   8.42   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.01 |   0.00   |  -1.59   | 0.11       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.04 |   0.00   |  -37.06  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.02  |   0.00   |  35.24   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.02  |   0.00   |   9.01   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.33 |   0.00   |  -50.00  | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | 0.30  |   0.01   |  29.84   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.05 |   0.00   |  -50.00  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | 0.92  |   0.01   |  50.00   | 0.00***    |
| Dev. uniform) . WIDTH   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.04 |   0.00   |  -18.49  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| WIDTH (Std. Dev.        |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.14 |   0.00   |  -50.00  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| DOUBLE (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -777.7411729967606
--------------------------------------------------------------------------------
bic: 1730.08
--------------------------------------------------------------------------------
MSE: 376.40
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.32 |   0.42   |  -3.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.23 |   0.14   |  -1.63   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.11  |   0.02   |   5.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.00  |   0.03   |   0.07   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.09  |   0.04   |   1.97   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.34  |   0.08   |   4.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.73 |   0.08   |  -8.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.50  |   0.05   |   9.44   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | 0.23  |   0.23   |   1.01   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.13  |   0.07   |   2.05   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.15  |   0.05   |   2.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.33 |   0.09   |  -3.53   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.49  |   0.06   |   8.33   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -1.04 |   0.14   |  -7.33   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.22  |   0.01   |  24.88   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.16 |   0.01   |  -20.35  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.02  |   0.01   |   2.57   | 0.01*      |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.20  |   0.00   |  44.39   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.07 |   0.00   |  -21.37  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.09 |   0.00   |  -27.52  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.03  |   0.00   |  11.70   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.70 |   0.01   |  -50.00  | 0.00***    |
| Dev. lm_normal) . WIDTH |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.61  |   0.02   |  34.27   | 0.00***    |
| Dev. uniform) . WIDTH   |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.04 |   0.01   |  -8.89   | 0.00***    |
| Dev. uniform) . CURVES  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.29  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| WIDTH (Std. Dev.        |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.01 |   0.00   |  -6.18   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| CURVES (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    | arcsinh | -0.01 |   0.00   |  -3.89   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| ACCESS (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    | no      | 0.14  |   0.08   |   1.78   | 0.08.      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB: hetro group 0      | no      | -0.47 |   0.09   |  -5.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR: hetro group 0   |         | 0.03  |   0.02   |   1.30   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    |         | 0.00  |   0.02   |   0.18   | 0.86       |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -740.8827145008693
--------------------------------------------------------------------------------
bic: 1648.57
--------------------------------------------------------------------------------
MSE: 274.48
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.37 |   3.81   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.45  |   0.23   |   1.99   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.05   |  -0.72   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.05  |   0.12   |   0.38   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.03   |   1.56   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.03  |   0.03   |   1.35   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.23 |   0.55   |  -0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.00 |   0.06   |  -0.02   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.24  |   0.09   |   2.75   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.28  |   0.39   |   0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.06 |   0.12   |  -0.56   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.24  |   0.16   |   7.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.54 |   0.73   |  -2.12   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.23  |   0.50   |   0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.04   |  -0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.02 |   0.11   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.31 |   0.42   |  -0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.05  |   0.08   |   0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.58 |   0.28   |  -2.06   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.37 |   0.37   |  -0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.06  |   0.00   |  26.43   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.04  |   0.00   |   8.55   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.07  |   0.01   |  12.41   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.01 |   0.00   |  -1.38   | 0.17       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.33  |   0.02   |  14.70   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.20  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.78  |   0.02   |  44.81   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.57  |   0.01   |  50.00   | 0.00***    |
| uniform) . DECLANES     |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -748.1397970183694
--------------------------------------------------------------------------------
bic: 1665.48
--------------------------------------------------------------------------------
MSE: 293.72
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.39 |   0.20   |  -1.93   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.36 |   0.10   |  -3.75   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.07 |   0.04   |  -1.95   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.11 |   0.18   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.09  |   0.08   |   1.10   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.01   |   3.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.42   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.09 |   0.12   |  -9.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.17  |   0.06   |   2.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | -0.02 |   0.03   |  -0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.39  |   0.11   |   3.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.02 |   0.02   |  -1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.00  |   0.05   |   0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.15  |   0.08   |   1.77   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.31 |   0.08   |  -3.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.02   |   0.52   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.91  |   0.10   |   9.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.25 |   0.20   |  -1.24   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.30 |   0.11   |  -2.81   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.01 |   0.00   |  -9.45   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.06  |   0.00   |  20.05   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.18  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.01  |   0.00   |   5.11   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.21 |   0.00   |  -50.00  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.03 |   0.00   |  -16.86  | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.09  |   0.01   |  16.96   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.14  |   0.00   |  50.00   | 0.00***    |
| uniform) . LENGTH (Std. |         |       |          |          |            |
| Dev.   tn_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.36  |   0.01   |  50.00   | 0.00***    |
| lm_normal) . LENGTH     |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.25 |   0.01   |  -33.99  | 0.00***    |
| lm_normal) . SPEED      |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -744.2221395322152
--------------------------------------------------------------------------------
bic: 1648.86
--------------------------------------------------------------------------------
MSE: 239.35
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.40 |   0.34   |  -1.19   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.11  |   0.19   |   5.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.01 |   0.01   |  -1.66   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.06 |   0.03   |  -1.87   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.05  |   0.03   |   1.46   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.13 |   0.32   |  -3.53   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.05   |  -0.64   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.29 |   0.20   |  -1.45   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.03 |   0.07   |  -0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.03   |   2.47   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.03 |   0.09   |  -0.27   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.11  |   0.19   |   0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.23  |   0.07   |   3.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.05 |   0.06   |  -0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.22 |   0.11   |  -1.90   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.14  |   0.09   |   1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.39 |   0.09   |  -4.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.02 |   0.01   |  -4.09   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.17 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.07  |   0.00   |  21.55   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.09 |   0.01   |  -8.08   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.18 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.02  |   0.00   |  24.65   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.00  |   0.01   |   0.42   | 0.68       |
| Dev. lm_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.02 |   0.00   |  -8.09   | 0.00***    |
| Dev. triangular) . URB  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    | no      | 0.10  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| GRADEBR (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SLOPE: hetro      | arcsinh | 0.05  |   0.06   |   0.88   | 0.38       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE: hetro group 0   |         | 0.20  |   0.10   |   2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| main: SLOPE: hetro      |         | 0.02  |   0.06   |   0.30   | 0.76       |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -795.6290741126977
--------------------------------------------------------------------------------
bic: 1756.07
--------------------------------------------------------------------------------
MSE: 461.62
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.16 |   0.63   |  -0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.81 |   0.15   |  -5.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | 0.03  |   0.26   |   0.12   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.03 |   0.29   |  -0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.08 |   0.22   |  -0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.07  |   0.04   |   1.92   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.28 |   0.08   |  -3.59   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.23 |   0.14   |  -1.70   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.03  |   0.07   |   0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.06 |   0.05   |  -1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.67  |   0.06   |  10.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.04 |   0.02   |  -1.67   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.69 |   0.35   |  -1.96   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | -0.10 |   0.06   |  -1.82   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.63 |   0.48   |  -1.30   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   3.17   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | 1.07  |   0.01   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.08 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.09  |   0.00   |  21.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.04 |   0.00   |  -25.42  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.24  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.04  |   0.00   |  12.60   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.11 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    | no      | -0.15 |   0.00   |  -48.65  | 0.00***    |
| Dev. uniform) . SPEED   |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    | no      | 0.14  |   0.02   |   6.55   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR: hetro group 0   |         | 0.03  |   0.02   |   1.50   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    |         | 0.02  |   0.01   |   1.85   | 0.07.      |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -741.586179224087
--------------------------------------------------------------------------------
bic: 1670.56
--------------------------------------------------------------------------------
MSE: 257.01
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.07 |   0.71   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.14 |   0.15   |  -0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.36 |   0.18   |  -1.97   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.23 |   0.21   |  -1.07   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.01   |   1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.03   |   2.20   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.04 |   0.08   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.00  |   0.17   |   0.02   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.02  |   0.05   |   0.46   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.30  |   0.10   |   3.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.05 |   0.05   |  -0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.00 |   0.00   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.00  |   0.03   |   0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.38 |   0.51   |  -0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.28 |   0.13   |  -2.19   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | -0.21 |   0.11   |  -1.95   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.84 |   0.35   |  -2.40   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.25 |   0.10   |  -2.49   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.15  |   0.09   |  12.48   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.04   |   0.17   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.02  |   0.03   |   0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.00  |   0.00   |  27.65   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.07 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.03  |   0.00   |  36.67   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.91 |   0.01   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.03 |   0.00   |  -9.48   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.05 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.01 |   0.00   |  -14.20  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | 0.11  |   0.00   |  38.28   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.06  |   0.01   |  11.30   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.02  |   0.00   |  12.84   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.08 |   0.00   |  -24.10  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.07 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) . LENGTH   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.01 |   0.00   |  -6.79   | 0.00***    |
| Dev. normal) . MIGRADE  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -740.0028467157593
--------------------------------------------------------------------------------
bic: 1678.68
--------------------------------------------------------------------------------
MSE: 271.53
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.02  |   0.51   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.50 |   0.19   |  -2.70   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.07 |   0.10   |  -0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.01 |   0.03   |  -0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.03   |   2.71   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.01 |   0.01   |  -0.93   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.22 |   0.11   |  -2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.02 |   0.04   |  -0.55   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.33   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.02  |   0.03   |   0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.01 |   0.07   |  -0.17   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.32 |   0.07   |  -4.49   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.28  |   0.10   |   2.77   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.03 |   0.26   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.02 |   0.08   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.22  |   0.32   |   0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.28 |   0.20   |  -1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.12 |   0.24   |  -4.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.13  |   0.07   |   1.83   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.31  |   0.06   |   4.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.12  |   0.22   |   0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.05  |   0.03   |   1.97   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.26  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.01  |   0.00   |   3.95   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.09 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.14  |   0.00   |  42.58   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.01  |   0.00   |   5.67   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.01 |   0.00   |  -2.37   | 0.02*      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.06 |   0.00   |  -13.59  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.14 |   0.00   |  -41.10  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.04 |   0.00   |  -18.78  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   | log     | 0.10  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| DOUBLE (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     | no      | 1.13  |   0.13   |   8.77   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 0  | no      | -0.01 |   0.05   |  -0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW: hetro group 0  |         | -0.01 |   0.02   |  -0.56   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     |         | -0.04 |   0.02   |  -2.05   | 0.04*      |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -802.8537763194032
--------------------------------------------------------------------------------
bic: 1764.62
--------------------------------------------------------------------------------
MSE: 386.05
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.72 |   0.71   |  -1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.09 |   0.21   |  -0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | 0.02  |   0.02   |   0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.04  |   0.06   |   0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.01  |   0.01   |   0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.24  |   0.10   |   2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.10 |   0.04   |  -2.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.73  |   0.14   |   5.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.26 |   0.12   |  -2.13   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.53  |   0.08   |   6.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.06  |   0.03   |   1.89   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.46 |   0.08   |  -5.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | -0.01 |   0.08   |  -0.08   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.78 |   0.17   |  -4.51   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.47 |   0.16   |  -2.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.03  |   0.16   |   0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.19  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | -0.23 |   0.00   |  -50.00  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.19  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.00 |   0.00   |  -3.44   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.02  |   0.00   |  36.44   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.04  |   0.00   |   9.23   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.52  |   0.01   |  49.16   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.06 |   0.00   |  -20.75  | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.28  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.18 |   0.00   |  -47.77  | 0.00***    |
| tn_normal) . INCLANES   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.26  |   0.01   |  24.03   | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.54  |   0.01   |  50.00   | 0.00***    |
| Dev. uniform) . SPEED   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -728.8964006922813
--------------------------------------------------------------------------------
bic: 1622.60
--------------------------------------------------------------------------------
MSE: 527.88
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.18 |   0.45   |  -0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.09  |   0.10   |  10.83   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.41 |   0.18   |  -2.28   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.00  |   0.03   |   0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.05  |   0.02   |   2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.13 |   0.12   |  -1.12   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.19  |   0.08   |   2.22   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.21  |   0.17   |   1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.04   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.29 |   0.10   |  -2.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.14  |   0.05   |   2.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.18  |   0.11   |   1.72   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.01   |   0.23   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.32 |   0.40   |  -0.79   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.00 |   0.01   |  -0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.01   |   3.79   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.12 |   0.07   |  -1.68   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.03   |   0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.21  |   0.07   |   3.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.32  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.02  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.01 |   0.00   |  -7.95   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.03  |   0.01   |   3.73   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.05 |   0.00   |  -14.86  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.15  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   | no      | 0.43  |   0.01   |  50.00   | 0.00***    |
| Dev. normal) . MEDWIDTH |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: FC: hetro group 0 | no      | -0.00 |   0.05   |  -0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE: hetro group 0   | log     | -0.10 |   0.03   |  -2.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 |         | -1.27 |   0.42   |  -3.05   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: FC: hetro group   |         | -0.06 |   0.01   |  -7.65   | 0.00***    |
| 0:normal:sd  hetro      |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -739.4611971787403
--------------------------------------------------------------------------------
bic: 1661.91
--------------------------------------------------------------------------------
MSE: 228.23
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.53 |   0.45   |  -1.17   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.09 |   0.10   |  -0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.06  |   0.04   |   1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.25  |   0.17   |   1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.35  |   0.22   |   1.59   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.06 |   0.07   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.17  |   0.08   |   2.19   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.02   |   1.60   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.97 |   0.62   |  -1.56   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.09  |   0.07   |   1.22   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.07  |   0.07   |   0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.43 |   0.29   |  -1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.06   |  -1.10   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.31  |   0.33   |   0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.80   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.11  |   0.12   |   9.04   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.33 |   0.54   |  -2.45   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.01 |   0.01   |  -0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.08 |   0.09   |  -0.91   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.12  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.02  |   0.00   |  14.34   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.08  |   0.00   |  18.81   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.03 |   0.00   |  -17.04  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.83 |   0.01   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.05  |   0.00   |  23.99   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.03  |   0.00   |  21.24   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.06  |   0.00   |  21.21   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.30  |   0.00   |  50.00   | 0.00***    |
| normal) . LENGTH (Std.  |         |       |          |          |            |
| Dev.   normal )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.11  |   0.01   |  19.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| SPEED (Std. Dev.        |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.04 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) . LENGTH   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.14  |   0.00   |  30.52   | 0.00***    |
| Dev. normal) . SPEED    |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.12 |   0.01   |  -11.01  | 0.00***    |
| Dev. normal) . GRADEBR  |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -737.8102801892982
--------------------------------------------------------------------------------
bic: 1628.14
--------------------------------------------------------------------------------
MSE: 4771.34
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.52 |   1.25   |  -2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.94  |   0.09   |  10.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.52 |   0.11   |  -4.65   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.27  |   0.12   |   2.24   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.04 |   0.12   |  -0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.19 |   0.21   |  -0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.15  |   0.09   |   1.66   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.00 |   0.02   |  -0.12   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.10  |   0.05   |   1.79   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.33  |   0.13   |   2.44   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.20 |   0.17   |  -1.19   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.03   |   0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.06  |   0.08   |   0.80   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | -0.20 |   0.26   |  -0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.03 |   0.04   |  -0.79   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.64 |   0.10   |  -6.70   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.08 |   0.00   |  -35.14  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.02  |   0.00   |   7.25   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.01  |   0.00   |   3.03   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -1.12 |   0.01   |  -50.00  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.01 |   0.00   |  -3.40   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.75 |   0.01   |  -50.00  | 0.00***    |
| Dev. uniform) . FC      |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.01 |   0.00   |  -5.85   | 0.00***    |
| Dev. normal) . FC (Std. |         |       |          |          |            |
| Dev.   normal )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.30  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . PEAKHR   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.06  |   0.01   |  11.42   | 0.00***    |
| Dev. tn_normal) . FC    |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.43  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| PEAKHR (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.01  |   0.00   |   7.44   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| MEDWIDTH (Std. Dev.     |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -766.1960593485652
--------------------------------------------------------------------------------
bic: 1691.31
--------------------------------------------------------------------------------
MSE: 337.43
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.10 |   0.28   |  -7.42   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 1.14  |   0.11   |   9.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.63 |   0.16   |  -4.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.06  |   0.05   |   1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.52 |   0.11   |  -4.77   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.05   |   0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.01   |   1.93   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.02 |   0.03   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.07  |   0.05   |   1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.03   |   2.47   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.37 |   0.14   |  -2.57   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.15  |   0.09   |   1.69   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.59 |   0.03   |  -18.58  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.05  |   0.04   |   1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.01 |   0.03   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.10 |   0.00   |  -31.33  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.00  |   0.00   |   0.87   | 0.38       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.02 |   0.00   |  -7.56   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.15  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.05  |   0.00   |  26.89   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.01  |   0.00   |   4.25   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.00 |   0.00   |  -0.50   | 0.62       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.07 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) . FC      |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.01 |   0.00   |  -4.91   | 0.00***    |
| Dev. normal) . FC (Std. |         |       |          |          |            |
| Dev.   tn_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    | no      | 0.01  |   0.00   |   4.21   | 0.00***    |
| Dev. normal) . MEDWIDTH |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  | no      | -0.07 |   0.11   |  -0.62   | 0.53       |
| 0                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE: hetro group 0   |         | 0.13  |   0.03   |   4.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  |         | -0.06 |   0.03   |  -1.78   | 0.08.      |
| 0:lm_normal:sd  hetro   |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -738.1414158156556
--------------------------------------------------------------------------------
bic: 1641.09
--------------------------------------------------------------------------------
MSE: 440.34
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.10 |   0.47   |  -0.21   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.32  |   0.13   |  10.04   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.21 |   0.19   |  -1.10   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.13 |   0.20   |  -0.64   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.11 |   0.08   |  -1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.59  |   0.12   |   4.73   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.19 |   0.14   |  -1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.03 |   0.08   |  -0.34   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -2.22   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.50 |   0.53   |  -0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.01 |   0.22   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.06 |   0.08   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.32 |   0.19   |  -1.72   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.10  |   0.06   |   1.62   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.22  |   0.06   |   3.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.34 |   0.10   |  -3.37   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.02   |   3.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.18 |   0.41   |  -2.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.04  |   0.00   |  10.27   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.01  |   0.00   |  10.30   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.22 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.05  |   0.01   |  10.26   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.08  |   0.00   |  31.31   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.58  |   0.01   |  50.00   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.12  |   0.01   |  24.30   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.11 |   0.00   |  -45.52  | 0.00***    |
| Dev. triangular) . URB  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.02  |   0.00   |  15.01   | 0.00***    |
| Dev. lm_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.05  |   0.00   |  23.65   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MXGRADE (Std. Dev.      |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -730.4697565711194
--------------------------------------------------------------------------------
bic: 1642.93
--------------------------------------------------------------------------------
MSE: 639.74
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.57 |   0.81   |  -0.70   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.29 |   0.10   |  -2.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.05  |   0.03   |   1.39   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.01  |   0.05   |   0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.38 |   0.24   |  -1.58   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   2.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.17  |   0.08   |   2.14   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.00  |   0.02   |   0.12   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.11 |   0.25   |  -0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.02 |   0.01   |  -2.27   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.04  |   0.05   |   0.65   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.20  |   0.07   |   2.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.91  |   0.11   |   8.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.40 |   0.25   |  -5.56   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.22 |   0.11   |  -2.04   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.08  |   0.07   |   1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.04  |   0.05   |   0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.02 |   0.02   |  -1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -2.80   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.01   |   0.46   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.15  |   0.20   |   0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.17  |   0.23   |   0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.00 |   0.00   |  -3.86   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.02 |   0.00   |  -13.48  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.13 |   0.01   |  -20.09  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.00  |   0.00   |   3.03   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.05  |   0.01   |   8.97   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.00  |   0.00   |   0.91   | 0.36       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -3.68   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -1.84 |   0.01   |  -50.00  | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.01  |   0.00   |   4.36   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 1.01  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) . TRAIN |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.2952957758783
--------------------------------------------------------------------------------
bic: 1676.58
--------------------------------------------------------------------------------
MSE: 246.53
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.16 |   0.39   |  -0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.03  |   0.12   |   8.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.16 |   0.28   |  -0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.04 |   0.06   |  -0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.25 |   0.44   |  -0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.09 |   0.06   |  -1.63   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | 0.02  |   0.27   |   0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.02 |   0.06   |  -0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   1.69   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.03   |  -0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.02 |   0.05   |  -0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.20 |   0.11   |  -1.73   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.10  |   0.09   |   1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.02   |   0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.04   |   1.89   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.22  |   0.08   |   2.60   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.24 |   0.25   |  -0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.22 |   0.15   |  -1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.00 |   0.06   |  -0.03   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.15 |   0.31   |  -3.69   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.52   | 0.61       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.02  |   0.01   |   1.94   | 0.05.      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.40  |   0.02   |  23.30   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.42  |   0.03   |  15.89   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.01 |   0.01   |  -0.97   | 0.33       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.01  |   0.00   |   2.48   | 0.01*      |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.61  |   0.02   |  36.19   | 0.00***    |
| uniform) . INCLANES     |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.18 |   0.01   |  -17.30  | 0.00***    |
| Dev. normal) . INCLANES |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.19 |   0.01   |  -21.92  | 0.00***    |
| Dev. normal) . URB      |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.06 |   0.01   |  -5.20   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.00 |   0.00   |  -0.09   | 0.93       |
| Dev. triangular) . URB  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.00 |   0.00   |  -1.15   | 0.25       |
| Dev. triangular) .      |         |       |          |          |            |
| MIGRADE (Std. Dev.      |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.79  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -727.2239315074299
--------------------------------------------------------------------------------
bic: 1598.18
--------------------------------------------------------------------------------
MSE: 4768.83
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.57 |   0.72   |  -0.79   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.94  |   0.09   |  10.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.26 |   0.21   |  -1.29   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.36  |   0.12   |   3.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.25 |   0.11   |  -2.29   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.04   |  -1.03   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | 0.13  |   0.16   |   0.79   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   3.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.03  |   0.02   |   1.53   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.17  |   0.05   |   3.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.29 |   0.18   |  -1.65   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.22 |   0.09   |  -2.35   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | -0.01 |   0.03   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.26 |   0.24   |  -5.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.00  |   0.02   |   0.08   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.25 |   0.07   |  -3.63   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.47  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.05 |   0.00   |  -12.06  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.00 |   0.00   |  -0.76   | 0.45       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.02  |   0.00   |  25.90   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.05 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    | no      | 0.05  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . CURVES  |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | no      | 0.03  |   0.02   |   1.39   | 0.17       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE: hetro group 0    |         | 0.03  |   0.05   |   0.56   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | -0.11 |   0.01   |  -8.18   | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -765.2092584501905
--------------------------------------------------------------------------------
bic: 1709.91
--------------------------------------------------------------------------------
MSE: 920.36
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.08 |   0.51   |  -0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.43 |   0.16   |  -2.68   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.31 |   0.33   |  -0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.03  |   0.03   |   0.89   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.07  |   0.02   |   4.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.83   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.76 |   0.23   |  -3.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.98 |   0.40   |  -2.46   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -1.93   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.44  |   0.07   |   6.56   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.72  |   0.12   |   5.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.72 |   0.33   |  -2.19   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.26 |   0.09   |  -2.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.09 |   0.04   |  -2.00   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.56  |   0.22   |   2.55   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.06   |  -0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.13  |   0.06   |   2.17   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.21 |   0.24   |  -0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.40  |   0.07   |   5.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.08  |   0.02   |   4.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.19  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.82 |   0.01   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.01  |   0.00   |   6.27   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.04 |   0.00   |  -20.04  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.14  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 0.04  |   0.01   |   4.01   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.24  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.01  |   0.00   |   7.73   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.16 |   0.01   |  -21.31  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| SINGLE (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.06  |   0.00   |  38.65   | 0.00***    |
| Dev. uniform) . SINGLE  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.08 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) . GRADEBR |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -737.4012868211094
--------------------------------------------------------------------------------
bic: 1634.72
--------------------------------------------------------------------------------
MSE: 329.40
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.10 |   0.54   |  -0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.34  |   0.12   |  10.77   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.02 |   0.03   |  -0.62   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.11 |   0.30   |  -0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.28 |   0.11   |  -2.56   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.00 |   0.01   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.03 |   0.04   |  -0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.20 |   0.31   |  -3.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -4.41   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.06  |   0.05   |   1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.13  |   0.06   |   2.30   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.27  |   0.10   |   2.67   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.11 |   0.18   |  -0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.28 |   0.18   |  -1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.56  |   0.16   |   3.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.01   |   1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.06 |   0.07   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   0.78   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.74 |   0.29   |  -2.58   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.19 |   0.10   |  -1.93   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.17  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.02 |   0.00   |  -6.79   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -4.79   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | 0.00  |   0.00   |   1.18   | 0.24       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.01 |   0.00   |  -11.35  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.38  |   0.01   |  38.99   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.55  |   0.01   |  50.00   | 0.00***    |
| triangular) . WIDTH     |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -730.797896498606
--------------------------------------------------------------------------------
bic: 1629.40
--------------------------------------------------------------------------------
MSE: 1130.24
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.36 |   1.01   |  -0.35   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.98  |   0.10   |   9.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.21  |   0.25   |   0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.25 |   0.14   |  -1.78   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.04 |   0.06   |  -0.67   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.07  |   0.29   |   0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.01 |   0.08   |  -0.08   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.77   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.64   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.30 |   0.29   |  -1.01   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.99 |   0.54   |  -1.84   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.20  |   0.09   |   2.23   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.11  |   0.12   |   0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.02   |   0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.98 |   0.57   |  -1.72   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.07   |  -0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.04  |   0.03   |   1.30   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.61 |   0.25   |  -2.44   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.15  |   0.09   |   1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.00  |   0.00   |   0.06   | 0.95       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) uniform  |         | 0.00  |   0.00   |   0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.00  |   0.00   |   0.43   | 0.67       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | -0.50 |   0.01   |  -42.42  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.07 |   0.01   |  -8.68   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.00  |   0.00   |   0.23   | 0.82       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.42  |   0.01   |  50.00   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.01 |   0.00   |  -36.82  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.00  |   0.00   |   9.16   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 3.94  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -760.7443015285153
--------------------------------------------------------------------------------
bic: 1675.01
--------------------------------------------------------------------------------
MSE: 1816.73
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.32 |   0.79   |  -0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.02   |   3.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.22 |   0.10   |  -2.22   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.00 |   0.04   |  -0.07   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | 0.08  |   0.19   |   0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.24  |   0.07   |   3.41   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.02 |   0.00   |  -5.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.34  |   0.05   |   7.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.23  |   0.08   |   2.78   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.20  |   0.01   |  14.76   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.47  |   0.20   |   2.38   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.03  |   0.06   |   0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.50 |   0.29   |  -1.72   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.31 |   0.28   |  -4.71   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.23  |   0.05   |   4.30   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.00 |   0.00   |  -4.38   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.12 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.28 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.72 |   0.02   |  -34.15  | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.15  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.00 |   0.00   |  -0.32   | 0.75       |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.78  |   0.02   |  35.91   | 0.00***    |
| Dev. normal) . WIDTH    |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.60 |   0.01   |  -50.00  | 0.00***    |
| lm_normal) . WIDTH      |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. | no      | -0.56 |   0.00   |  -50.00  | 0.00***    |
| lm_normal) . FRICTION   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   | arcsinh | -0.20 |   0.14   |  -1.43   | 0.15       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH: hetro group 0  | no      | -0.27 |   0.08   |  -3.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE: hetro group 0   |         | -0.07 |   0.02   |  -3.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   |         | 0.00  |   0.01   |   0.18   | 0.86       |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.6522024003434
--------------------------------------------------------------------------------
bic: 1643.43
--------------------------------------------------------------------------------
MSE: 300.25
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.45 |   0.28   |  -1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.80  |   0.11   |   7.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.05 |   0.03   |  -1.88   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.51  |   0.14   |   3.51   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.16 |   0.12   |  -1.33   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | 0.09  |   0.24   |   0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.20 |   0.11   |  -1.81   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.09  |   0.16   |   0.55   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.11  |   0.08   |   1.29   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   1.10   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.54 |   0.25   |  -6.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.06  |   0.06   |   1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.07   |   2.54   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.21 |   0.20   |  -1.06   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.29 |   0.20   |  -1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.33 |   0.08   |  -4.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.12  |   0.08   |   1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.02 |   0.11   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.18  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.11  |   0.00   |  29.28   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.02 |   0.00   |  -5.57   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.00 |   0.00   |  -1.30   | 0.20       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     | no      | 0.05  |   0.01   |   6.22   | 0.00***    |
| Dev. normal) . GRADEBR  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXGRADE: hetro    | no      | 0.03  |   0.01   |   2.28   | 0.02*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW: hetro group 0  |         | -0.00 |   0.02   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXGRADE: hetro    |         | -0.05 |   0.01   |  -3.57   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -757.7287768688
--------------------------------------------------------------------------------
bic: 1676.37
--------------------------------------------------------------------------------
MSE: 5133.50
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.72 |   0.82   |  -0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.35 |   0.17   |  -2.02   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.02 |   0.03   |  -0.64   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.06 |   0.65   |  -0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.03   |  -1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.06 |   0.18   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.05   |  -0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.02  |   0.02   |   1.01   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.52 |   0.18   |  -2.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.10  |   0.04   |   2.71   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.37 |   0.50   |  -2.74   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.05  |   0.07   |   0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.34 |   0.18   |  -1.92   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.05  |   0.02   |   2.24   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.11  |   0.05   |   2.08   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.14  |   0.03   |   5.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.26  |   0.06   |   4.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.49  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.10 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.04 |   0.00   |  -36.73  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.09 |   0.00   |  -50.00  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.03 |   0.00   |  -18.14  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   | arcsinh | 0.34  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXGRDIFF: hetro   | arcsinh | 0.08  |   0.08   |   0.97   | 0.33       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT: hetro group 0  | arcsinh | 0.07  |   0.09   |   0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    | no      | 0.26  |   0.07   |   3.56   | 0.00***    |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE: hetro group 1  |         | 0.07  |   0.01   |   4.81   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXGRDIFF: hetro   |         | -0.30 |   0.04   |  -7.22   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    |         | 0.14  |   0.03   |   5.05   | 0.00***    |
| group 1:uniform:sd      |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -729.3766814087188
--------------------------------------------------------------------------------
bic: 1612.77
--------------------------------------------------------------------------------
MSE: 283.41
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.55 |   0.23   |  -6.62   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.13  |   0.09   |  13.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.06 |   0.02   |  -2.52   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.07 |   0.14   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.01  |   0.01   |   0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.02   |   3.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.00 |   0.01   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -3.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.20  |   0.05   |   4.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | 0.03  |   0.05   |   0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.06 |   0.15   |  -0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -1.26 |   0.12   |  -10.12  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.52  |   0.13   |   4.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.03  |   0.05   |   0.65   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.01 |   0.13   |  -0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.24 |   0.06   |  -3.77   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.15  |   0.00   |  41.57   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | -0.07 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.14 |   0.00   |  -41.57  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.02  |   0.00   |  48.53   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.05  |   0.00   |  10.43   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.48  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.19 |   0.01   |  -37.44  | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. | no      | -0.48 |   0.00   |  -50.00  | 0.00***    |
| uniform) . DECLANES     |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | no      | 0.02  |   0.02   |   1.06   | 0.29       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 |         | -0.04 |   0.01   |  -4.69   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | -0.00 |   0.00   |  -0.90   | 0.37       |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -732.940417584334
--------------------------------------------------------------------------------
bic: 1647.37
--------------------------------------------------------------------------------
MSE: 342.83
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.57 |   0.41   |  -3.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.11 |   0.09   |  -1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.24  |   0.10   |   2.47   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.31 |   0.09   |  -3.25   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.01   |   3.39   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.03 |   0.07   |  -0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.46   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.04  |   0.05   |   0.73   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.06   |   3.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.13  |   0.10   |   1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.15  |   0.13   |   8.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.57 |   0.23   |  -2.48   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.35  |   0.19   |   1.87   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.08  |   0.07   |   1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.03 |   0.04   |  -0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -3.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.04 |   0.05   |  -0.73   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.02 |   0.01   |  -1.85   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.12 |   0.16   |  -0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.54 |   0.07   |  -7.77   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.11  |   0.00   |  36.12   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.00 |   0.00   |  -1.01   | 0.32       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.05  |   0.00   |  16.94   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.07 |   0.00   |  -21.53  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.00 |   0.01   |  -0.10   | 0.92       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.00  |   0.00   |  32.96   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.25  |   0.01   |  42.05   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.04 |   0.00   |  -50.00  | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.02 |   0.02   |  -1.24   | 0.22       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.02 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.45  |   0.01   |  47.50   | 0.00***    |
| Dev. uniform) . SPEED   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.28  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . SPEED    |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.02  |   0.00   |   7.16   | 0.00***    |
| Dev. normal) . ACCESS   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -747.1087895777121
--------------------------------------------------------------------------------
bic: 1659.63
--------------------------------------------------------------------------------
MSE: 264.58
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.16 |   0.36   |  -0.46   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.01  |   0.39   |   0.02   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.01  |   0.09   |   0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.05  |   0.04   |   1.45   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.13 |   0.27   |  -0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.46   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.03 |   0.13   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.20 |   0.20   |  -1.03   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.26  |   0.10   |   2.69   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.19  |   0.17   |   1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.24  |   0.20   |   6.17   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.09 |   0.26   |  -4.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.13  |   0.11   |   1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.14 |   0.15   |  -0.91   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.05  |   0.10   |   0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.33 |   0.02   |  -16.61  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.05  |   0.01   |   4.13   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.00 |   0.01   |  -0.07   | 0.94       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.00 |   0.00   |  -3.02   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.00 |   0.01   |  -0.34   | 0.73       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | 0.01  |   0.01   |   0.97   | 0.33       |
| Dev. normal) . WIDTH    |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   | no      | -0.17 |   0.29   |  -0.59   | 0.56       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 | no      | -0.00 |   0.06   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| main: FC: hetro group 1 | no      | -0.05 |   0.07   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 1  | no      | -0.02 |   0.06   |  -0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 1  | arcsinh | -0.26 |   0.14   |  -1.91   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   |         | 0.06  |   0.04   |   1.53   | 0.13       |
| group 0:tn_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: FC: hetro group   |         | -0.02 |   0.09   |  -0.25   | 0.81       |
| 1:triangular:sd  hetro  |         |       |          |          |            |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.34  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -735.3474461915579
--------------------------------------------------------------------------------
bic: 1631.11
--------------------------------------------------------------------------------
MSE: 6386.97
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.30 |   0.35   |  -0.85   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.28  |   0.16   |   8.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.00  |   0.03   |   0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.11  |   0.11   |   1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   2.75   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.18  |   0.07   |   2.71   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.06   |   1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.20  |   0.05   |   3.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.23  |   0.10   |   2.39   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.04 |   0.03   |  -1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.00 |   0.02   |  -0.01   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.75 |   0.24   |  -3.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.16 |   0.09   |  -1.71   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.39 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.03  |   0.00   |  17.98   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.02 |   0.00   |  -6.59   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.07 |   0.00   |  -50.00  | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.41 |   0.01   |  -44.59  | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   | arcsinh | 0.08  |   0.00   |  16.89   | 0.00***    |
| uniform) . WIDTH (Std.  |         |       |          |          |            |
| Dev.   normal )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | no      | 0.22  |   0.17   |   1.25   | 0.21       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 | no      | -0.00 |   0.04   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    | arcsinh | -0.02 |   0.01   |  -1.72   | 0.09.      |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 1  | arcsinh | -0.19 |   0.10   |  -1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| main: SPEED: hetro      | no      | -0.86 |   0.32   |  -2.73   | 0.01*      |
| group 2                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS: hetro group 2   |         | -0.39 |   0.18   |  -2.17   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | 0.21  |   0.02   |  12.73   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    |         | -0.01 |   0.01   |  -0.97   | 0.33       |
| group 1:normal:sd       |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SPEED: hetro      |         | 0.02  |   0.02   |   1.44   | 0.15       |
| group 2:uniform:sd      |         |       |          |          |            |
| hetro group 2           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -787.1967982404193
--------------------------------------------------------------------------------
bic: 1731.31
--------------------------------------------------------------------------------
MSE: 1225.26
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.11 |   0.19   |  -5.78   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.05 |   0.09   |  -0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.15 |   0.04   |  -3.78   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.09  |   0.02   |   5.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.09  |   0.04   |   2.38   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.10  |   0.11   |   0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.12  |   0.03   |   4.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.00 |   0.09   |  -0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | -0.03 |   0.06   |  -0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.59  |   0.05   |  12.62   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -2.02 |   0.14   |  -14.73  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | 0.21  |   0.16   |   1.28   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.20  |   0.12   |   1.67   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -6.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.01  |   0.00   |  32.01   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.11  |   0.00   |  24.36   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.14  |   0.00   |  31.77   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.07  |   0.00   |  33.14   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.01  |   0.01   |   1.95   | 0.05.      |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | -0.75 |   0.01   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | 0.10  |   0.01   |  16.93   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 0.10  |   0.01   |   9.03   | 0.00***    |
| Dev. normal) . WIDTH    |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.11 |   0.01   |  -20.54  | 0.00***    |
| uniform) . WIDTH (Std.  |         |       |          |          |            |
| Dev.   normal )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | 0.00  |   0.00   |  31.92   | 0.00***    |
| uniform) . SINGLE (Std. |         |       |          |          |            |
| Dev.   normal )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.27  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . WIDTH   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.02  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . SINGLE  |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . TRAIN   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -748.3919756255511
--------------------------------------------------------------------------------
bic: 1660.59
--------------------------------------------------------------------------------
MSE: 302.61
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.19 |   0.56   |  -0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.81  |   0.12   |   7.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.11 |   0.03   |  -3.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.21 |   0.11   |  -1.86   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.07 |   0.03   |  -2.14   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.04   |  -0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.01  |   0.08   |   0.13   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.06  |   0.06   |   1.10   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.06  |   0.03   |   2.03   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.06 |   0.13   |  -0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.52  |   0.12   |   4.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.05  |   0.07   |   0.75   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.09  |   0.02   |   4.05   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.03  |   0.02   |   1.36   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.35 |   0.07   |  -4.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.25  |   0.07   |   3.39   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.20 |   0.07   |  -2.73   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.32 |   0.26   |  -5.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.36  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.12  |   0.00   |  40.98   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.02 |   0.00   |  -9.53   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.04  |   0.00   |  22.60   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.04  |   0.00   |  45.06   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.10 |   0.00   |  -41.16  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -4.56   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.26  |   0.00   |  50.00   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.39 |   0.01   |  -50.00  | 0.00***    |
| Dev. tn_normal) . WIDTH |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -745.7315419314319
--------------------------------------------------------------------------------
bic: 1662.67
--------------------------------------------------------------------------------
MSE: 287.97
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.16 |   0.62   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.13  |   0.13   |   8.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.12 |   0.20   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.02  |   0.03   |   0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.05  |   0.02   |   2.49   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.22 |   0.10   |  -2.22   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.02 |   0.04   |  -0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.03 |   0.21   |  -0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.08  |   0.03   |   3.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.03  |   0.02   |   1.56   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.19 |   0.15   |  -1.33   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.31  |   0.06   |   5.66   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.34  |   0.11   |   3.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.33 |   0.20   |  -1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.07 |   0.22   |  -4.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.05  |   0.03   |   1.84   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.02  |   0.04   |   0.43   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.39 |   0.07   |  -5.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.13  |   0.07   |   2.00   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.00 |   0.02   |  -0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.21 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.05 |   0.00   |  -26.47  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.07 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.01  |   0.00   |  14.92   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.06  |   0.00   |  25.58   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -0.02   | 0.98       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.01 |   0.00   |  -9.44   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -735.6072070508033
--------------------------------------------------------------------------------
bic: 1630.63
--------------------------------------------------------------------------------
MSE: 5169.64
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.44 |   0.25   |  -1.72   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.52 |   0.17   |  -3.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.04 |   0.04   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | 0.04  |   0.13   |   0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.04 |   0.03   |  -1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   2.83   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.52 |   0.21   |  -7.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.14  |   0.05   |   3.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.08 |   0.10   |  -0.80   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.05 |   0.06   |  -0.73   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | -0.06 |   0.08   |  -0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.01   |   0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.03  |   0.07   |  14.69   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.10  |   0.03   |   2.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.40 |   0.11   |  -3.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.16  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.04 |   0.01   |  -6.35   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.02  |   0.00   |   8.46   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   1.37   | 0.17       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.10 |   0.00   |  -46.19  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | -0.01 |   0.00   |  -9.05   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.66  |   0.00   |  50.00   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.07  |   0.01   |  12.85   | 0.00***    |
| normal) . LENGTH (Std.  |         |       |          |          |            |
| Dev.   tn_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   | no      | 0.14  |   0.01   |  21.50   | 0.00***    |
| normal) . MXMEDSH (Std. |         |       |          |          |            |
| Dev.   tn_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: FC: hetro group 0 | no      | -0.09 |   0.05   |  -1.85   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN: hetro group 0    | no      | 0.06  |   0.08   |   0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR: hetro group 0   |         | 0.03  |   0.02   |   1.56   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| main: FC: hetro group   |         | -0.05 |   0.01   |  -4.91   | 0.00***    |
| 0:normal:sd  hetro      |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -741.1957758423289
--------------------------------------------------------------------------------
bic: 1652.09
--------------------------------------------------------------------------------
MSE: 248.87
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.55 |   0.32   |  -1.71   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.97  |   0.09   |  10.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.31 |   0.09   |  -3.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | 0.02  |   0.05   |   0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.03 |   0.04   |  -0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.01   |   1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   3.42   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.03  |   0.02   |   1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.02   |   3.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.41 |   0.12   |  -3.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.46 |   0.16   |  -8.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.09  |   0.05   |   1.68   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.49 |   0.12   |  -4.04   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.48 |   0.17   |  -2.79   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.06  |   0.09   |   0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.14  |   0.05   |   2.70   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.03 |   0.00   |  -6.78   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.10  |   0.00   |  29.40   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.07  |   0.00   |  21.29   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.23  |   0.00   |  47.12   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.08 |   0.00   |  -33.23  | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.04 |   0.01   |  -4.87   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.15  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.03  |   0.00   |   6.48   | 0.00***    |
| lm_normal) . INCLANES   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.19 |   0.00   |  -48.09  | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.03  |   0.00   |  10.78   | 0.00***    |
| Dev. uniform) . WIDTH   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.18  |   0.01   |  32.04   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.11 |   0.00   |  -40.21  | 0.00***    |
| Dev. lm_normal) . WIDTH |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.03 |   0.01   |  -5.03   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| CURVES (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -752.5446915174506
--------------------------------------------------------------------------------
bic: 1659.61
--------------------------------------------------------------------------------
MSE: 307.45
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.22 |   0.28   |  -0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.14 |   0.17   |  -0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.16 |   0.02   |  -6.73   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.69  |   0.13   |   5.33   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.11 |   0.04   |  -3.04   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.03 |   0.05   |  -0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.04  |   0.11   |   0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   3.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.19 |   0.17   |  -1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.30 |   0.09   |  -3.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.31  |   0.06   |   5.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.14  |   0.11   |  10.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.02 |   0.17   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.00  |   0.08   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.15  |   0.05   |   2.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.35 |   0.23   |  -1.54   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.25 |   0.27   |  -4.59   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.00 |   0.00   |  -1.51   | 0.13       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.22  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.01  |   0.00   |  21.69   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.00   |  -1.88   | 0.06.      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.00  |   0.00   |   1.28   | 0.20       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.03 |   0.00   |  -17.57  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 1.10  |   0.01   |  50.00   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.19  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -1.32 |   0.02   |  -50.00  | 0.00***    |
| Dev. uniform) . WIDTH   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -762.584979276407
--------------------------------------------------------------------------------
bic: 1683.59
--------------------------------------------------------------------------------
MSE: 228.98
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.76 |   0.23   |  -12.08  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.08 |   0.17   |  -0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.01 |   0.08   |  -0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.11 |   0.10   |  -1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.44 |   0.14   |  -3.22   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.05   |   0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.08  |   0.03   |   2.63   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.05  |   0.02   |   2.03   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.26  |   0.09   |   3.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.75  |   0.12   |   6.46   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.22 |   0.13   |  -1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | -0.02 |   0.02   |  -1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.13  |   0.13   |   0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.09  |   0.09   |   0.95   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.01  |   0.02   |   0.56   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.11 |   0.15   |  -0.75   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.55 |   0.07   |  -8.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.13 |   0.07   |  -1.97   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.07 |   0.20   |  -0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.07  |   0.00   |  38.14   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.04 |   0.00   |  -13.49  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.01  |   0.00   |   8.67   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.02  |   0.00   |  15.81   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.06  |   0.00   |  38.49   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.00  |   0.00   |   3.06   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.24  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.34  |   0.01   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.16  |   0.00   |  43.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -765.4431733919768
--------------------------------------------------------------------------------
bic: 1674.62
--------------------------------------------------------------------------------
MSE: 671.03
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.23  |   0.54   |   0.42   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.18  |   0.02   |   8.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.08 |   0.10   |  -0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.05   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.06 |   0.14   |  -0.42   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.13  |   0.37   |   0.35   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   2.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.03  |   0.04   |   0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.02  |   0.02   |   0.93   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.48 |   0.12   |  -4.04   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.31  |   0.05   |   6.03   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.38  |   0.17   |   2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.31  |   0.16   |   2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | 0.00  |   0.23   |   0.01   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.04 |   0.05   |  -0.70   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.98 |   0.34   |  -2.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.06  |   0.06   |   1.06   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.55 |   0.11   |  -5.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.01 |   0.00   |  -4.81   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.26  |   0.01   |  39.34   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.11  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.13  |   0.01   |  20.35   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -2.59   | 0.01*      |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.22  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -745.0682493449513
--------------------------------------------------------------------------------
bic: 1644.66
--------------------------------------------------------------------------------
MSE: 224.97
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.79 |   0.41   |  -1.96   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.94  |   0.12   |   8.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.01  |   0.15   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -1.03 |   0.22   |  -4.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.01  |   0.03   |   0.35   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.04   |  -1.03   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.21 |   0.23   |  -0.91   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.08 |   0.04   |  -2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.01  |   0.01   |   1.03   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.00  |   0.04   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.03   |   2.75   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.01 |   0.08   |  -0.12   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.21  |   0.05   |   3.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.03   |   2.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.14  |   0.09   |   1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.00  |   0.02   |   0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.10 |   0.18   |  -0.55   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.35 |   0.08   |  -4.44   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.29 |   0.12   |  -2.48   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.01   |   0.30   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.07  |   0.00   |  38.32   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.00  |   0.00   |   2.96   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.00  |   0.00   |   3.22   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.01  |   0.00   |   5.72   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 1.11  |   0.01   |  50.00   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.00 |   0.00   |  -2.61   | 0.01*      |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.00  |   0.00   |   1.10   | 0.27       |
| Dev. normal) . URB      |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -742.1664164526775
--------------------------------------------------------------------------------
bic: 1651.64
--------------------------------------------------------------------------------
MSE: 236.18
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.55 |   0.57   |  -0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.16 |   0.17   |  -0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.04   |   1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.01  |   0.14   |   0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.23 |   0.23   |  -0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.44 |   0.14   |  -3.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.04  |   0.14   |   7.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.20 |   0.28   |  -0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.06  |   0.04   |   1.67   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.04 |   0.02   |  -1.84   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.14  |   0.08   |   1.70   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.25  |   0.09   |   2.67   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.21  |   0.18   |   1.21   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.70 |   0.35   |  -1.97   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.02 |   0.03   |  -0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.26  |   0.01   |  29.14   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.02 |   0.01   |  -2.81   | 0.01*      |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.01  |   0.00   |   2.18   | 0.03*      |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.00 |   0.00   |  -0.48   | 0.63       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.00  |   0.01   |   0.66   | 0.51       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.03  |   0.01   |   4.62   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.02  |   0.01   |   2.50   | 0.01*      |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.01 |   0.00   |  -3.07   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.00  |   0.00   |   0.31   | 0.76       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.00  |   0.00   |   1.48   | 0.14       |
| Dev. lm_normal) . WIDTH |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   | no      | 0.03  |   0.36   |   0.07   | 0.94       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR: hetro group 0   | arcsinh | 0.23  |   0.21   |   1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  | arcsinh | -0.33 |   0.21   |  -1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   |         | -0.04 |   0.02   |  -2.31   | 0.02*      |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.85  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -749.6259844524894
--------------------------------------------------------------------------------
bic: 1647.88
--------------------------------------------------------------------------------
MSE: 224.00
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.94 |   0.17   |  -17.53  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.03 |   0.04   |  -0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.01  |   0.04   |   0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.38 |   0.16   |  -2.40   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.56 |   0.25   |  -2.27   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.38  |   0.17   |   2.20   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.00  |   0.02   |   0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.08  |   0.02   |   3.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.05  |   0.03   |   1.98   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.02  |   0.03   |   0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.02 |   0.10   |  -0.17   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.01  |   0.03   |   0.35   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.35 |   0.18   |  -1.95   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.09  |   0.03   |   2.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.30 |   0.12   |  -2.62   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.07  |   0.07   |   1.06   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.26  |   0.06   |   4.61   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.05  |   0.15   |   6.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.48 |   0.04   |  -12.05  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.09  |   0.00   |  49.99   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.04 |   0.00   |  -11.58  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.02 |   0.00   |  -14.23  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.91 |   0.01   |  -50.00  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.26  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -769.570384607525
--------------------------------------------------------------------------------
bic: 1710.84
--------------------------------------------------------------------------------
MSE: 1853.05
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.26 |   0.13   |  -2.02   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.21  |   0.02   |   9.54   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.16 |   0.04   |  -4.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.04 |   0.21   |  -0.17   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.00 |   0.05   |  -0.06   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.29   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.05   |  -0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.01  |   0.04   |   0.22   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.02  |   0.02   |   1.22   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.29  |   0.09   |   3.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | -0.07 |   0.16   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.62  |   0.16   |   3.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.91 |   0.32   |  -2.83   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   2.83   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.01 |   0.04   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.94 |   0.37   |  -2.52   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.02   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.51 |   0.12   |  -4.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.08 |   0.05   |  -1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.46  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.06 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.01  |   0.00   |  15.57   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.15  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   0.06   | 0.95       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.42  |   0.01   |  44.35   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.00  |   0.00   |   3.13   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    | no      | 0.07  |   0.00   |  50.00   | 0.00***    |
| normal) . URB (Std.     |         |       |          |          |            |
| Dev.   normal )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: ACCESS: hetro     | no      | -0.42 |   0.22   |  -1.96   | 0.05.      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE: hetro group 0    |         | 0.09  |   0.06   |   1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| main: ACCESS: hetro     |         | -0.34 |   0.05   |  -6.25   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -729.0415084231621
--------------------------------------------------------------------------------
bic: 1612.60
--------------------------------------------------------------------------------
MSE: 192.94
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.65 |   0.81   |  -0.80   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.31 |   0.10   |  -3.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.24 |   0.18   |  -1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.25  |   0.10   |   2.58   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.01  |   0.02   |   0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.39 |   0.16   |  -2.43   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.00 |   0.03   |  -0.00   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.69 |   0.11   |  -6.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.05  |   0.02   |   1.96   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.03  |   0.02   |   1.41   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.00 |   0.01   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.18  |   0.05   |   3.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.18  |   0.09   |   1.98   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.06  |   0.01   |   4.33   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.46 |   0.19   |  -7.76   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.61  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.03 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.01 |   0.00   |  -13.34  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.00   |  -4.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.01  |   0.00   |   3.61   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | -0.14 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.05 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.00  |   0.00   |   0.79   | 0.43       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   | arcsinh | 0.04  |   0.00   |  48.72   | 0.00***    |
| Dev. uniform) . MXGRADE |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     | arcsinh | 0.98  |   0.08   |  11.94   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH: hetro group 0  | no      | 0.02  |   0.14   |   0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| FC: hetro group 0       |         | -0.03 |   0.04   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     |         | -0.12 |   0.02   |  -6.74   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -757.2734735186054
--------------------------------------------------------------------------------
bic: 1676.96
--------------------------------------------------------------------------------
MSE: 337.64
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.74 |   0.71   |  -1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.30  |   0.24   |   5.41   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.07 |   0.22   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.05  |   0.05   |   1.07   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.06 |   0.16   |  -0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.03   |   0.64   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.08  |   0.24   |   0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.70 |   0.45   |  -3.77   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.09  |   0.10   |   0.87   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.06  |   0.14   |   0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.07   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.19 |   0.19   |  -0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.03   |  -0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.03  |   0.03   |   0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.02 |   0.13   |  -0.12   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.04 |   0.06   |  -0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.01 |   0.02   |  -0.62   | 0.53       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.00  |   0.00   |   1.74   | 0.08.      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -0.26   | 0.80       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.03  |   0.00   |  16.74   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | 0.00  |   0.02   |   0.26   | 0.80       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.00 |   0.00   |  -2.05   | 0.04*      |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.10 |   0.01   |  -8.62   | 0.00***    |
| Dev. uniform) . GRADEBR |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.02  |   0.00   |   5.45   | 0.00***    |
| Dev. normal) . GRADEBR  |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.00 |   0.00   |  -0.37   | 0.71       |
| Dev. normal) . TANGENT  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: FC: hetro group 0 | no      | -0.14 |   0.05   |  -2.81   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR: hetro group 0   | no      | 0.02  |   0.02   |   1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| main: FC: hetro group   |         | -0.00 |   0.03   |  -0.06   | 0.95       |
| 0:triangular:sd  hetro  |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.03  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -723.7996211374553
--------------------------------------------------------------------------------
bic: 1602.12
--------------------------------------------------------------------------------
MSE: 220.46
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.40 |   0.16   |  -2.55   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.19 |   0.10   |  -1.92   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.58  |   0.12   |   4.75   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.28 |   0.09   |  -3.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.04 |   0.04   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.00  |   0.01   |   0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.03 |   0.05   |  -0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.05 |   0.15   |  -0.31   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.01 |   0.04   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.07  |   0.05   |   1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.04  |   0.02   |   1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.51 |   0.09   |  -5.63   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.04   |  -0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   3.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -2.83   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.09  |   0.10   |  10.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.30 |   0.21   |  -6.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.25 |   0.12   |  -2.02   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.01  |   0.00   |   4.25   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.01 |   0.00   |  -8.54   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | 0.06  |   0.01   |   6.86   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.19 |   0.01   |  -14.02  | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.00  |   0.00   |   0.78   | 0.44       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.62 |   0.03   |  -24.36  | 0.00***    |
| normal) . LENGTH (Std.  |         |       |          |          |            |
| Dev.   triangular )     |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.42  |   0.02   |  24.00   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.13  |   0.01   |  14.44   | 0.00***    |
| Dev. lm_normal) . SPEED |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -729.3233052977075
--------------------------------------------------------------------------------
bic: 1617.06
--------------------------------------------------------------------------------
MSE: 276.83
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.52 |   0.13   |  -4.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.51 |   0.10   |  -4.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.05 |   0.04   |  -1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.59  |   0.13   |   4.48   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.16 |   0.08   |  -1.92   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.11 |   0.20   |  -0.55   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.02  |   0.08   |   0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   2.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.08  |   0.04   |   1.77   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.24  |   0.05   |   4.56   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.21  |   0.12   |   1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.83  |   0.10   |   8.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.25 |   0.35   |  -0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.02  |   0.01   |   2.08   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.05   |  -0.17   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.10 |   0.16   |  -0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.01   |  -2.42   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.09  |   0.05   |   1.72   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.01 |   0.06   |  -0.12   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.84 |   0.23   |  -7.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.05  |   0.00   |  13.46   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.07 |   0.00   |  -30.89  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.02  |   0.00   |  29.16   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.02 |   0.01   |  -4.73   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.03 |   0.01   |  -5.21   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.05  |   0.00   |  13.82   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   1.06   | 0.29       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.01  |   0.00   |  11.09   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -745.9035857622106
--------------------------------------------------------------------------------
bic: 1645.94
--------------------------------------------------------------------------------
MSE: 272.85
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.44 |   0.41   |  -1.06   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.87  |   0.12   |   7.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.03 |   0.06   |  -0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.20 |   0.28   |  -0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.18 |   0.17   |  -1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.07   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.05 |   0.37   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.14  |   0.29   |   0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.08   |  -0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   1.69   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.03  |   0.02   |   1.24   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.04  |   0.05   |   0.80   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.24  |   0.09   |   2.63   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.69 |   0.61   |  -1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.05 |   0.05   |  -1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.15  |   0.10   |   1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.34 |   0.20   |  -1.72   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.14  |   0.29   |   0.49   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.23 |   0.14   |  -1.62   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.00  |   0.00   |   0.12   | 0.90       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.00  |   0.00   |   0.28   | 0.78       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.00  |   0.01   |   0.12   | 0.91       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -0.70   | 0.48       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | -0.01 |   0.01   |  -0.68   | 0.50       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.00  |   0.00   |   0.48   | 0.63       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.00  |   0.00   |   0.72   | 0.47       |
| Dev. normal) . INCLANES |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.11  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -744.0744660766334
--------------------------------------------------------------------------------
bic: 1653.96
--------------------------------------------------------------------------------
MSE: 375.99
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.62 |   0.35   |  -1.76   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.38  |   0.13   |  10.68   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.32 |   0.20   |  -1.63   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.48 |   0.19   |  -2.53   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.05   |  -0.13   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.03  |   0.07   |   0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.04   |  -0.26   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.06  |   0.09   |   0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.10  |   0.02   |   3.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.04 |   0.03   |  -1.10   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.05  |   0.08   |   0.64   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.09  |   0.02   |   4.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.04 |   0.07   |  -0.64   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.09 |   0.10   |  -0.87   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.48 |   0.11   |  -4.25   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.55 |   0.21   |  -7.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.10 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.01  |   0.00   |  19.12   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.01 |   0.00   |  -3.61   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.02 |   0.00   |  -6.78   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.01 |   0.00   |  -3.97   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.77 |   0.02   |  -50.00  | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.41  |   0.01   |  50.00   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.00  |   0.00   |   0.71   | 0.48       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.79  |   0.01   |  50.00   | 0.00***    |
| tn_normal) . SPEED      |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 1.70  |   0.03   |  50.00   | 0.00***    |
| Dev. lm_normal) . SPEED |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   | arcsinh | 0.05  |   0.00   |  48.96   | 0.00***    |
| Dev. lm_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     | no      | 0.00  |   0.17   |   0.00   | 1.00       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS: hetro group 0   |         | -0.17 |   0.17   |  -1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     |         | 0.03  |   0.04   |   0.64   | 0.52       |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -772.2362846830367
--------------------------------------------------------------------------------
bic: 1711.78
--------------------------------------------------------------------------------
MSE: 215.75
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.54 |   1.42   |  -1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -1.69 |   0.76   |  -2.22   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.02 |   0.26   |  -0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.31 |   0.16   |  -1.88   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.19  |   0.39   |   0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.46  |   0.13   |   3.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.00  |   0.06   |   0.08   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.10  |   0.19   |   0.55   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.40  |   0.13   |   3.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | -0.07 |   0.28   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.16  |   0.41   |   0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.48  |   0.85   |   0.56   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.04  |   0.08   |   0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.65 |   0.40   |  -1.63   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.05 |   0.08   |  -0.65   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.00  |   0.63   |   0.00   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.10   |  -0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.09  |   0.06   |   1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.00 |   0.00   |  -0.00   | 1.00       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.28   | 0.78       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.00  |   0.00   |   0.05   | 0.96       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.00 |   0.00   |  -0.06   | 0.95       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.02   |  -0.18   | 0.86       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | -0.03 |   0.03   |  -1.11   | 0.27       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | -0.02 |   0.01   |  -2.01   | 0.05.      |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.00 |   0.01   |  -0.30   | 0.77       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | -0.12 |   0.02   |  -6.72   | 0.00***    |
| lm_normal) . DECLANES   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.14  |   0.01   |  12.55   | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.02  |   0.01   |   1.86   | 0.06.      |
| Dev. uniform) . FC      |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 1.74  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -738.4609291877066
--------------------------------------------------------------------------------
bic: 1639.73
--------------------------------------------------------------------------------
MSE: 269.93
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.38 |   0.62   |  -2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.10  |   0.09   |   1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.82 |   0.10   |  -8.59   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.34 |   0.17   |  -2.02   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | -0.06 |   0.19   |  -0.31   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.06  |   0.03   |   1.81   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.28  |   0.05   |   5.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.38 |   0.08   |  -4.75   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.01  |   0.04   |   0.27   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.10  |   0.02   |   4.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   1.20   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.02 |   0.00   |  -6.79   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.29  |   0.09   |   3.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.01   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.14  |   0.08   |  13.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.07  |   0.06   |   1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.05   |   1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.01  |   0.00   |   6.70   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | -0.00 |   0.00   |  -3.37   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.04 |   0.00   |  -17.90  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.02  |   0.00   |  34.64   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.02  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | -0.23 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -8.26   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.17 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | 0.02  |   0.00   |   6.12   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | 0.03  |   0.00   |  10.25   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | 0.05  |   0.00   |  27.68   | 0.00***    |
| triangular) . LENGTH    |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.01 |   0.00   |  -3.24   | 0.00***    |
| lm_normal) . LENGTH     |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.09 |   0.01   |  -10.14  | 0.00***    |
| lm_normal) . TRAIN      |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -743.941820828631
--------------------------------------------------------------------------------
bic: 1681.66
--------------------------------------------------------------------------------
MSE: 652.43
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.15 |   0.48   |  -2.39   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.26 |   0.16   |  -1.63   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.87 |   0.12   |  -7.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.32 |   0.16   |  -2.04   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.02  |   0.06   |   0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.16 |   0.22   |  -0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   1.75   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.06 |   0.25   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.03  |   0.08   |   0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.23  |   0.09   |   2.59   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.83  |   0.15   |   5.60   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.40 |   0.17   |  -2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.20  |   0.09   |   2.15   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.03  |   0.02   |   1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.02   |   0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.48  |   0.22   |   2.16   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.01  |   0.06   |   0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.02  |   0.02   |   0.62   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -2.37   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.00 |   0.00   |  -0.18   | 0.86       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.00 |   0.01   |  -0.12   | 0.90       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.00 |   0.01   |  -0.27   | 0.79       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.00 |   0.00   |  -0.21   | 0.83       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   0.06   | 0.95       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | 0.71  |   0.02   |  42.06   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.00 |   0.01   |  -0.15   | 0.88       |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.00  |   0.00   |   1.39   | 0.16       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.00  |   0.00   |   1.38   | 0.17       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.06 |   0.01   |  -8.46   | 0.00***    |
| lm_normal) . MXMEDSH    |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.06  |   0.00   |  23.52   | 0.00***    |
| Dev. normal) . MXMEDSH  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.03 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) . TRAIN    |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.00 |   0.00   |  -0.38   | 0.71       |
| Dev. tn_normal) .       |         |       |          |          |            |
| MXMEDSH (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.00  |   0.00   |   0.10   | 0.92       |
| Dev. tn_normal) . TRAIN |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.00 |   0.00   |  -2.00   | 0.05.      |
| Dev. tn_normal) .       |         |       |          |          |            |
| GRADEBR (Std. Dev.      |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 3.63  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -736.9760369524058
--------------------------------------------------------------------------------
bic: 1618.69
--------------------------------------------------------------------------------
MSE: 301.58
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.54 |   0.52   |  -1.06   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.57 |   0.13   |  -4.25   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.09  |   0.04   |   2.50   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.06   |  -0.79   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.14 |   0.20   |  -0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.04  |   0.16   |   0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.05   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.02  |   0.03   |   0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.02  |   0.02   |   1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.16 |   0.39   |  -0.42   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.03  |   0.03   |   1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.06  |   0.03   |   2.11   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.25 |   0.06   |  -3.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.11  |   0.05   |   2.13   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.98  |   0.29   |   3.37   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.18 |   0.22   |  -0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.39 |   0.26   |  -5.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.03  |   0.00   |  22.36   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.04 |   0.00   |  -11.46  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | 0.69  |   0.01   |  50.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.44 |   0.02   |  -23.54  | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.01  |   0.00   |  10.35   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.64 |   0.03   |  -20.85  | 0.00***    |
| triangular) . LENGTH    |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.43 |   0.01   |  -50.00  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.03  |   0.00   |   6.55   | 0.00***    |
| Dev. lm_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -731.1252069809497
--------------------------------------------------------------------------------
bic: 1594.20
--------------------------------------------------------------------------------
MSE: 263.74
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.15 |   0.30   |  -0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.98  |   0.08   |  11.76   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.22 |   0.10   |  -2.27   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.14 |   0.11   |  -1.29   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.65 |   0.20   |  -3.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.10 |   0.11   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.01   |   3.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.02 |   0.08   |  -0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.11 |   0.21   |  -5.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.22  |   0.05   |   4.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.01   |   0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.04   |  -1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.28  |   0.12   |   2.30   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.08 |   0.16   |  -0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.03  |   0.03   |   1.19   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | -0.08 |   0.00   |  -50.00  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.01 |   0.00   |  -9.35   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.13 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.04  |   0.00   |  25.68   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     | no      | -0.02 |   0.00   |  -17.82  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  | sqrt    | -0.05 |   0.09   |  -0.56   | 0.58       |
| 0                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  |         | -0.01 |   0.00   |  -5.69   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  |         | 0.02  |   0.00   |   9.69   | 0.00***    |
| 0:uniform:sd  hetro     |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -740.3911014050403
--------------------------------------------------------------------------------
bic: 1645.09
--------------------------------------------------------------------------------
MSE: 211.82
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.38 |   0.71   |  -3.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.11  |   0.04   |   2.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.09 |   0.04   |  -2.51   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.09 |   0.19   |  -0.45   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.15 |   0.08   |  -1.83   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.50   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.11  |   0.10   |   1.07   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.02  |   0.03   |   0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.06  |   0.06   |   1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.22  |   0.05   |   4.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.01   |   0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.14 |   0.17   |  -0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.34 |   0.21   |  -1.58   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.01  |   0.02   |   0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.01 |   0.02   |  -0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.41 |   0.08   |  -5.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.92  |   0.10   |   9.16   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.13 |   0.12   |  -1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.04 |   0.01   |  -4.53   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.04  |   0.00   |  10.66   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.13 |   0.00   |  -41.67  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.02  |   0.00   |  16.17   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.02 |   0.00   |  -11.89  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.04 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | 0.32  |   0.01   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.06  |   0.01   |   6.81   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.00 |   0.00   |  -33.47  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.46 |   0.01   |  -50.00  | 0.00***    |
| lm_normal) . LENGTH     |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.00  |   0.00   |  14.56   | 0.00***    |
| Dev. tn_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -715.0055431266079
--------------------------------------------------------------------------------
bic: 1584.03
--------------------------------------------------------------------------------
MSE: 292.35
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.03 |   0.54   |  -1.89   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.02   |   4.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.03   |  -1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.01   |   1.86   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.09  |   0.06   |   1.50   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   3.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.07 |   0.06   |  -1.24   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.01  |   0.02   |   0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.03  |   0.05   |   0.62   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.11  |   0.04   |   2.49   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.01   |   0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.52 |   0.09   |  -5.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.77 |   0.15   |  -11.42  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.33 |   0.10   |  -3.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.03 |   0.04   |  -0.75   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.17  |   0.07   |   2.50   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.07  |   0.12   |   8.79   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -2.83   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.08 |   0.00   |  -24.66  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.01  |   0.00   |  10.10   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.04  |   0.00   |  10.85   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.00  |   0.00   |   0.81   | 0.42       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.06 |   0.00   |  -27.14  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.01 |   0.00   |  -20.94  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | 0.38  |   0.01   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.00 |   0.00   |  -30.47  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -765.165148646514
--------------------------------------------------------------------------------
bic: 1701.53
--------------------------------------------------------------------------------
MSE: 701.90
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.61 |   0.52   |  -1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.12  |   0.02   |   6.46   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.46 |   0.21   |  -2.22   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.01 |   0.10   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.11  |   0.09   |   1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.13  |   0.09   |   1.54   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.64 |   0.16   |  -3.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.02 |   0.04   |  -0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.07  |   0.06   |   1.27   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.18 |   0.19   |  -0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.10  |   0.02   |   4.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.19 |   0.21   |  -0.89   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.47  |   0.11   |   4.39   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.29  |   0.16   |   1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.24  |   0.10   |   2.48   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.03   |   0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.69 |   0.17   |  -9.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.14 |   0.05   |  -3.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.04  |   0.01   |   4.81   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.14  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.03  |   0.00   |  17.56   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.16  |   0.01   |  22.54   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.23 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.02 |   0.00   |  -12.30  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.09  |   0.00   |  43.89   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    | no      | -0.01 |   0.00   |  -11.01  | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  | no      | -0.30 |   0.10   |  -2.93   | 0.00***    |
| 0                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 0 | no      | 0.31  |   0.07   |   4.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE: hetro group 0   |         | 0.02  |   0.03   |   0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  |         | 0.04  |   0.09   |   0.43   | 0.67       |
| 0:uniform:sd  hetro     |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -774.0591183225281
--------------------------------------------------------------------------------
bic: 1707.53
--------------------------------------------------------------------------------
MSE: 241.58
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.18 |   0.26   |  -0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.04  |   0.04   |   1.01   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.15 |   0.27   |  -0.56   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.35  |   0.11   |   3.33   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.08  |   0.03   |   2.58   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.09  |   0.03   |   2.75   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.35 |   0.28   |  -1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.21 |   0.19   |  -1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.43 |   0.09   |  -4.71   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.49  |   0.16   |   3.16   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.60 |   0.28   |  -2.13   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.05   |  -1.19   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.08  |   0.03   |   3.04   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.37  |   0.10   |   3.78   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.11  |   0.09   |   1.17   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.39 |   0.10   |  -3.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.03   |   1.27   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.12  |   0.08   |   1.53   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.01  |   0.00   |   7.55   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.09  |   0.00   |  29.89   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.00  |   0.00   |   0.65   | 0.51       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.43  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.11  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.18 |   0.00   |  -50.00  | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.05 |   0.00   |  -42.60  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.36 |   0.00   |  -50.00  | 0.00***    |
| normal) . INCLANES      |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.63 |   0.01   |  -50.00  | 0.00***    |
| normal) . MINRAD (Std.  |         |       |          |          |            |
| Dev.   triangular )     |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -722.4114342020493
--------------------------------------------------------------------------------
bic: 1610.13
--------------------------------------------------------------------------------
MSE: 448.67
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.83 |   0.33   |  -2.49   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.04 |   0.15   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.08 |   0.03   |  -2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.15 |   0.22   |  -0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.13 |   0.10   |  -1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.01   |   1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.07  |   0.07   |   0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.04   |  -0.30   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   0.93   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.05  |   0.03   |   1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.03  |   0.03   |   1.29   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.02   |   3.42   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.02 |   0.07   |  -0.22   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.02  |   0.10   |  10.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.79 |   0.29   |  -2.76   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.06 |   0.23   |  -4.70   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -2.11   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.04  |   0.00   |  34.37   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.01  |   0.00   |   4.27   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.03  |   0.00   |  27.54   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.22 |   0.01   |  -23.10  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.58 |   0.01   |  -50.00  | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.06 |   0.00   |  -24.18  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.00 |   0.00   |  -50.00  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.03 |   0.02   |  -1.56   | 0.12       |
| normal) . LENGTH (Std.  |         |       |          |          |            |
| Dev.   uniform )        |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.05  |   0.02   |   2.53   | 0.01*      |
| Dev. lm_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.00  |   0.00   |  18.04   | 0.00***    |
| Dev. lm_normal) . WIDTH |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.41  |   0.01   |  48.93   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) . WIDTH |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| FRICTION (Std. Dev.     |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -744.8514443595662
--------------------------------------------------------------------------------
bic: 1654.12
--------------------------------------------------------------------------------
MSE: 265.97
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.49 |   0.76   |  -0.65   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.12 |   0.17   |  -0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.36 |   0.33   |  -4.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.00 |   0.06   |  -0.07   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.45  |   0.30   |   1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.29  |   0.20   |   1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.04   |   1.53   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.02 |   0.03   |  -0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.03   |   0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.16  |   0.08   |   2.04   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.23  |   0.09   |   2.47   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.20  |   0.15   |   1.29   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.92  |   0.14   |   6.49   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.18 |   0.18   |  -1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.18 |   0.16   |  -1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.10 |   0.05   |  -1.93   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.13  |   0.11   |   1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.10  |   0.32   |   0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.33 |   0.18   |  -1.84   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.04  |   0.11   |   0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.00  |   0.00   |   0.00   | 1.00       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.35   | 0.73       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.05  |   0.02   |   2.39   | 0.02*      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.00 |   0.00   |  -0.24   | 0.81       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.00  |   0.00   |   0.43   | 0.66       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.00  |   0.01   |   0.48   | 0.63       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.00 |   0.00   |  -0.28   | 0.78       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.01 |   0.01   |  -1.22   | 0.22       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.17  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -735.396528306685
--------------------------------------------------------------------------------
bic: 1619.92
--------------------------------------------------------------------------------
MSE: 18985.07
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -3.82 |   0.38   |  -10.16  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.99  |   0.08   |  11.66   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.01 |   0.13   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.14 |   0.09   |  -1.47   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.05 |   0.08   |  -0.62   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.08 |   0.03   |  -2.25   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.01  |   0.02   |   0.85   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.01  |   0.02   |   0.56   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -3.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.02   |   0.07   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.02  |   0.12   |   0.21   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.50 |   0.18   |  -2.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.03 |   0.08   |  -0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.04  |   0.05   |   0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.12  |   0.10   |   1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.08  |   0.07   |   1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -2.09 |   0.02   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.02 |   0.00   |  -9.65   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | 0.02  |   0.01   |   2.44   | 0.02*      |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.00  |   0.00   |   7.29   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.09  |   0.00   |  19.09   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | -0.26 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   | arcsinh | -0.00 |   0.00   |  -1.56   | 0.12       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    | log     | -0.15 |   0.31   |  -0.48   | 0.63       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  |         | -0.20 |   0.07   |  -2.68   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    |         | 0.29  |   0.03   |   8.93   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -793.2126954690625
--------------------------------------------------------------------------------
bic: 1734.05
--------------------------------------------------------------------------------
MSE: 257.13
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.11 |   0.86   |  -0.12   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.07 |   0.19   |  -0.35   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.30 |   0.11   |  -2.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.77  |   0.16   |   5.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.05 |   0.14   |  -0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | 0.37  |   0.22   |   1.66   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.53  |   0.05   |  10.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.05 |   0.06   |  -0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.21 |   0.21   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.01 |   0.01   |  -2.07   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.09  |   0.04   |   2.23   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.95 |   0.32   |  -2.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.05  |   0.06   |   0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.06 |   0.07   |  -0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.09  |   0.03   |   3.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.62 |   0.10   |  -6.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.03 |   0.00   |  -37.50  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.17 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.24  |   0.01   |  40.56   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.26 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.27  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.11  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.20 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) . DOUBLE  |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.11  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . DOUBLE  |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.02 |   0.00   |  -27.81  | 0.00***    |
| Dev. uniform) . MXGRADE |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -778.0377198013878
--------------------------------------------------------------------------------
bic: 1712.10
--------------------------------------------------------------------------------
MSE: 351.91
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -5.20 |   0.47   |  -10.97  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.26  |   0.21   |   6.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.18  |   0.21   |   0.87   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.05 |   0.03   |  -1.46   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.25 |   0.13   |  -1.89   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.04   |  -1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.10 |   0.05   |  -1.88   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.05 |   0.27   |  -0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.22  |   0.23   |   0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | -0.19 |   0.11   |  -1.70   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | -0.05 |   0.11   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.03  |   0.09   |   0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.07  |   0.07   |   0.97   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.02   |   0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.07 |   0.26   |  -0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.10  |   0.02   |   4.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.01 |   0.04   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.54 |   0.13   |  -4.25   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.03  |   0.01   |   3.54   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.05 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.03 |   0.00   |  -25.31  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.01 |   0.00   |  -24.97  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     | arcsinh | -0.02 |   0.00   |  -11.77  | 0.00***    |
| Dev. tn_normal) . WIDTH |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXGRDIFF: hetro   | log     | 0.16  |   0.10   |   1.68   | 0.10       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE: hetro group 0   |         | 0.07  |   0.11   |   0.62   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXGRDIFF: hetro   |         | -0.18 |   0.07   |  -2.47   | 0.01*      |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -770.4999922852313
--------------------------------------------------------------------------------
bic: 1705.81
--------------------------------------------------------------------------------
MSE: 329.15
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.33 |   0.43   |  -5.46   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.28  |   0.24   |   1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.47 |   0.09   |  -5.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.23 |   0.09   |  -2.52   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.19 |   0.12   |  -1.60   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.05   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.01 |   0.19   |  -0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.20  |   0.06   |   3.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.00  |   0.05   |   0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.03   |   2.47   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.51  |   0.06   |   8.30   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.50  |   0.17   |   2.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | -0.54 |   0.21   |  -2.55   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.51  |   0.08   |   6.51   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.49   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.05 |   0.01   |  -3.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.02 |   0.00   |  -6.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | -0.00 |   0.11   |  -0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.21  |   0.09   |   2.46   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.00 |   0.04   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.01 |   0.00   |  -6.24   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.17 |   0.00   |  -38.75  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.01 |   0.00   |  -2.74   | 0.01*      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.02  |   0.00   |  34.47   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.02  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.02  |   0.00   |   4.86   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | 0.25  |   0.01   |  29.94   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.00  |   0.00   |   0.16   | 0.87       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.07 |   0.00   |  -39.14  | 0.00***    |
| Dev. uniform) . TANGENT |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -729.4465889986899
--------------------------------------------------------------------------------
bic: 1616.81
--------------------------------------------------------------------------------
MSE: 298.76
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.85 |   0.35   |  -2.43   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.09 |   0.08   |  -1.20   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.02  |   0.07   |   0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.91   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.14  |   0.08   |   1.78   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.09  |   0.04   |   2.06   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.07  |   0.14   |   7.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.01   |   1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.02  |   0.04   |   0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.01   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -2.59   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.30  |   0.11   |   2.60   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.02   |   0.08   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.47 |   0.06   |  -7.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.82 |   0.19   |  -9.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.03  |   0.03   |   0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.01  |   0.00   |   9.47   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.00  |   0.00   |   0.95   | 0.34       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.04 |   0.01   |  -4.92   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.01  |   0.00   |   9.74   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | -0.03 |   0.00   |  -11.94  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -6.69   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.19  |   0.01   |  37.30   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | -0.00 |   0.00   |  -2.12   | 0.03*      |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.25 |   0.00   |  -50.00  | 0.00***    |
| lm_normal) . INCLANES   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.11  |   0.00   |  37.91   | 0.00***    |
| tn_normal) . INCLANES   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | -0.09 |   0.00   |  -44.28  | 0.00***    |
| tn_normal) . SPEED      |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -753.3287782276766
--------------------------------------------------------------------------------
bic: 1694.65
--------------------------------------------------------------------------------
MSE: 442.40
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.36 |   0.91   |  -0.39   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.21 |   0.24   |  -0.89   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.09 |   0.07   |  -1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.61  |   0.26   |   2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.26 |   0.14   |  -1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.08   |  -0.39   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.03 |   0.14   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.03   |   0.64   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.02 |   0.20   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.00 |   0.07   |  -0.07   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.16 |   0.48   |  -2.41   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.05  |   0.12   |   0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.99  |   0.23   |   4.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.13 |   0.31   |  -0.42   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.11 |   0.31   |  -3.57   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.10 |   0.35   |  -0.27   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.02  |   0.03   |   0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.10 |   0.31   |  -0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.07   |  -0.35   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.00 |   0.02   |  -0.09   | 0.93       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.00  |   0.00   |   0.08   | 0.94       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.00 |   0.00   |  -0.43   | 0.67       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.00 |   0.00   |  -0.31   | 0.76       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.01  |   0.00   |   4.73   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.00 |   0.00   |  -0.54   | 0.59       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | -0.00 |   0.00   |  -0.94   | 0.35       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.00 |   0.01   |  -0.05   | 0.96       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.00 |   0.01   |  -0.43   | 0.67       |
| Dev. uniform) . SINGLE  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      | arcsinh | -0.03 |   0.28   |  -0.10   | 0.92       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR: hetro group 0   | arcsinh | 0.20  |   0.22   |   0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      |         | 0.00  |   0.05   |   0.01   | 0.99       |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 1.99  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -745.2653356343575
--------------------------------------------------------------------------------
bic: 1666.73
--------------------------------------------------------------------------------
MSE: 349.02
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.67 |   0.75   |  -0.89   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.20 |   0.17   |  -1.19   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.09 |   0.07   |  -1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.53  |   0.21   |   2.54   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.10   |  -0.62   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.09 |   0.39   |  -0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.19  |   0.49   |   0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   1.69   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.00  |   0.10   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.24  |   0.09   |   2.83   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.02   |   0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.16 |   0.78   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.97 |   0.45   |  -2.18   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.12  |   0.08   |   1.39   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.02  |   0.04   |   0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.98  |   0.15   |   6.56   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.07 |   0.33   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.55  |   0.01   |  41.61   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.03 |   0.05   |  -0.63   | 0.53       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.00  |   0.01   |   0.04   | 0.97       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | -0.00 |   0.00   |  -0.57   | 0.57       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | 0.01  |   0.02   |   0.40   | 0.69       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.00  |   0.00   |   0.38   | 0.71       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | -0.01 |   0.01   |  -0.57   | 0.57       |
| Dev. lm_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      | arcsinh | 0.21  |   0.28   |   0.74   | 0.46       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT: hetro group 0  | arcsinh | -0.00 |   0.14   |  -0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| main: ACCESS: hetro     | no      | -0.32 |   0.36   |  -0.88   | 0.38       |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 1 | sqrt    | -0.40 |   0.19   |  -2.16   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      |         | -0.23 |   0.11   |  -2.12   | 0.04*      |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: ACCESS: hetro     |         | 0.02  |   0.45   |   0.04   | 0.97       |
| group 1:uniform:sd      |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.93  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -744.4782521899724
--------------------------------------------------------------------------------
bic: 1636.08
--------------------------------------------------------------------------------
MSE: 283.88
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.41 |   0.20   |  -2.04   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.20 |   0.07   |  -3.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.04   |  -1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.01   |   1.85   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.95 |   0.39   |  -2.44   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.07  |   0.06   |   1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.41 |   0.27   |  -1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.00 |   0.01   |  -0.17   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.00  |   0.02   |   0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.29 |   0.18   |  -1.62   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.02   |   0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.00  |   0.05   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.07 |   0.07   |  -0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 1.55  |   0.01   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.02 |   0.00   |  -12.28  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.00  |   0.00   |   4.15   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.10  |   0.00   |  35.81   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -7.94   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.01 |   0.01   |  -1.59   | 0.11       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.20 |   0.01   |  -22.96  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    | log     | 0.08  |   0.00   |  16.77   | 0.00***    |
| Dev. uniform) . MIGRADE |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     | log     | 1.37  |   0.12   |  11.30   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE: hetro group 0   | log     | 0.19  |   0.16   |   1.19   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| main: SPEED: hetro      | no      | -0.89 |   0.38   |  -2.35   | 0.02*      |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB: hetro group 1      |         | -0.26 |   0.10   |  -2.60   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     |         | -1.50 |   0.12   |  -12.36  | 0.00***    |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SPEED: hetro      |         | 0.04  |   0.02   |   2.31   | 0.02*      |
| group 1:normal:sd       |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -750.200994473185
--------------------------------------------------------------------------------
bic: 1654.03
--------------------------------------------------------------------------------
MSE: 371.43
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.56 |   0.43   |  -1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.01  |   0.13   |   7.65   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.31 |   0.18   |  -1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.06  |   0.04   |   1.60   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | 0.01  |   0.22   |   0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.04 |   0.04   |  -1.01   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.15  |   0.26   |   0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.04  |   0.06   |   0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.03 |   0.36   |  -2.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.13  |   0.09   |   1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.10   |   1.90   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.09 |   0.05   |  -1.68   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.09 |   0.12   |  -0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.03   |   0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.25 |   0.20   |  -1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.85 |   0.35   |  -2.41   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.07  |   0.11   |   0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.02   | 0.99       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.00  |   0.01   |   0.15   | 0.88       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.00 |   0.00   |  -0.43   | 0.67       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.01 |   0.01   |  -0.88   | 0.38       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.00  |   0.00   |   0.10   | 0.92       |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | -0.01 |   0.01   |  -1.09   | 0.28       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.00  |   0.01   |   0.55   | 0.58       |
| Dev. lm_normal) . SPEED |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.03  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -712.4302510656606
--------------------------------------------------------------------------------
bic: 1594.06
--------------------------------------------------------------------------------
MSE: 297.61
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.50 |   0.89   |  -0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.55 |   0.16   |  -3.51   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.16 |   0.07   |  -2.22   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.64  |   0.14   |   4.67   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -2.13 |   0.26   |  -8.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.17 |   0.09   |  -1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.08  |   0.04   |   2.15   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.02   |   2.57   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | -0.00 |   0.02   |  -0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.14  |   0.04   |   3.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.26  |   0.10   |   2.66   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.01   |   0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.17 |   0.09   |  -1.87   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.28  |   0.19   |   1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.03  |   0.02   |   1.50   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.00 |   0.01   |  -0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.07  |   0.03   |   2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.92  |   0.07   |  12.75   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.01 |   0.01   |  -1.20   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.30 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.02 |   0.00   |  -18.42  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.01  |   0.00   |   8.21   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.01 |   0.00   |  -15.94  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.02 |   0.00   |  -28.47  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.11 |   0.00   |  -41.26  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.00  |   0.00   |  14.82   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. | no      | 0.01  |   0.00   |  50.00   | 0.00***    |
| normal) . LENGTH (Std.  |         |       |          |          |            |
| Dev.   tn_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     | sqrt    | -0.03 |   0.04   |  -0.74   | 0.46       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  |         | -0.01 |   0.00   |  -5.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     |         | 0.02  |   0.00   |  11.82   | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -782.9934439187667
--------------------------------------------------------------------------------
bic: 1715.11
--------------------------------------------------------------------------------
MSE: 1564.68
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.07  |   1.13   |   0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | 0.03  |   0.34   |   0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.06 |   0.16   |  -0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.22 |   0.15   |  -1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.03   |   1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.05  |   0.05   |   1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.39 |   0.19   |  -2.07   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.47 |   0.10   |  -4.68   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.58  |   0.07   |   8.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.17  |   0.11   |   1.47   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.12 |   0.13   |  -0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.22 |   0.18   |  -1.17   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.14  |   0.02   |   8.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.20 |   0.15   |  -1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.45 |   0.32   |  -1.40   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.11  |   0.04   |   2.58   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.03  |   0.06   |   0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | 0.56  |   0.01   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.06  |   0.00   |  40.87   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.02  |   0.00   |  46.46   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.16  |   0.00   |  50.00   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.08 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.19 |   0.01   |  -37.20  | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.03 |   0.00   |  -12.66  | 0.00***    |
| Dev. lm_normal) . SPEED |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.15 |   0.00   |  -50.00  | 0.00***    |
| tn_normal) . SPEED      |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.13 |   0.00   |  -50.00  | 0.00***    |
| tn_normal) . MXGRADE    |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -786.0532343193795
--------------------------------------------------------------------------------
bic: 1718.23
--------------------------------------------------------------------------------
MSE: 3731.29
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.57 |   0.25   |  -2.24   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.14  |   0.03   |   4.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.07 |   0.03   |  -2.67   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.05  |   0.02   |   2.38   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.04  |   0.01   |   2.66   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | -0.00 |   0.03   |  -0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.92 |   0.43   |  -2.14   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | 0.01  |   0.20   |   0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.01  |   0.04   |   0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.14  |   0.10   |   1.29   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.22 |   0.17   |  -1.28   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.01  |   0.17   |   0.08   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.81 |   0.42   |  -1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.28  |   0.10   |   2.80   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.26 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.03  |   0.00   |  31.72   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.24  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.37  |   0.02   |  23.03   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.86  |   0.01   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.02 |   0.00   |  -19.81  | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.02 |   0.00   |  -13.23  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.28  |   0.02   |  15.61   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.10  |   0.01   |  14.46   | 0.00***    |
| normal) . INCLANES      |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.61 |   0.01   |  -50.00  | 0.00***    |
| normal) . DECLANES      |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.25 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) . INCLANES |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.16 |   0.00   |  -35.00  | 0.00***    |
| Dev. normal) . DECLANES |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.12 |   0.00   |  -38.82  | 0.00***    |
| Dev. normal) . SPEED    |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.9642568066536
--------------------------------------------------------------------------------
bic: 1666.24
--------------------------------------------------------------------------------
MSE: 365.78
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.65 |   1.06   |  -0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.98  |   0.17   |   5.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.02 |   0.26   |  -0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.07 |   0.05   |  -1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.23 |   0.27   |  -0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.22 |   0.27   |  -0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.01  |   0.21   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.01  |   0.02   |   0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.04  |   0.04   |   1.19   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.02 |   0.13   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.30 |   0.21   |  -1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.04  |   0.06   |   0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.03  |   0.16   |   0.17   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.03   |  -0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.54  |   0.25   |   2.15   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | 0.01  |   0.07   |   0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.14 |   0.18   |  -0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.04   |   0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.11   |   1.70   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.25 |   0.15   |  -1.67   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.51 |   0.27   |  -5.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.09   | 0.93       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.00  |   0.00   |   0.10   | 0.92       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.01   |  -0.14   | 0.89       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.00 |   0.00   |  -0.46   | 0.64       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.02  |   0.02   |   1.18   | 0.24       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.00  |   0.01   |   0.07   | 0.94       |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.00 |   0.00   |  -0.82   | 0.41       |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.00 |   0.02   |  -0.07   | 0.95       |
| Dev. triangular) .      |         |       |          |          |            |
| WIDTH (Std. Dev.        |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.10  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -763.3589483768303
--------------------------------------------------------------------------------
bic: 1684.63
--------------------------------------------------------------------------------
MSE: 1125.79
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -6.43 |   0.27   |  -23.45  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.88  |   0.09   |   9.58   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.34 |   0.09   |  -3.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.26 |   0.14   |  -1.92   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.12  |   0.04   |   2.63   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.81 |   0.16   |  -5.04   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.01  |   0.01   |   0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -3.58   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.16  |   0.07   |   2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.23  |   0.09   |   2.61   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.04 |   0.06   |  -0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.16 |   0.23   |  -0.67   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.32  |   0.17   |   1.91   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.01  |   0.01   |   0.78   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.01   |   2.47   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.10  |   0.05   |   1.98   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.21  |   0.07   |   3.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.00 |   0.01   |  -0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -1.70 |   0.01   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.01  |   0.00   |  17.72   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.05  |   0.00   |  35.05   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.14  |   0.00   |  49.27   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.13 |   0.00   |  -50.00  | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.00  |   0.00   |   3.28   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     | no      | 0.06  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . TRAIN    |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   | no      | -0.17 |   0.20   |  -0.87   | 0.38       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH: hetro group 0    |         | -0.01 |   0.01   |  -0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   |         | 0.14  |   0.01   |   9.43   | 0.00***    |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -730.5389943658004
--------------------------------------------------------------------------------
bic: 1637.17
--------------------------------------------------------------------------------
MSE: 198.25
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.45 |   0.19   |  -2.37   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.02 |   0.03   |  -0.73   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.04   |  -1.36   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.29 |   0.17   |  -1.71   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.18 |   0.18   |  -1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.02  |   0.02   |   1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.01  |   0.04   |   0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.05   |   1.53   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.17  |   0.06   |   2.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.01   |   0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.93  |   0.11   |   8.30   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.13 |   0.21   |  -5.30   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.11  |   0.07   |   1.65   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.03  |   0.08   |   0.38   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.10  |   0.07   |   1.46   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.24 |   0.11   |  -2.18   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   2.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.13 |   0.18   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -1.01 |   0.01   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.02 |   0.00   |  -20.46  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.03 |   0.00   |  -14.43  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.05  |   0.00   |  20.72   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.01  |   0.00   |   4.15   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.17 |   0.01   |  -29.63  | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.03  |   0.00   |  25.36   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.18 |   0.00   |  -42.98  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.04  |   0.00   |  37.20   | 0.00***    |
| Dev. normal) . URB      |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.10 |   0.00   |  -40.15  | 0.00***    |
| Dev. uniform) . URB     |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     | arcsinh | -0.07 |   0.00   |  -31.51  | 0.00***    |
| Dev. uniform) . MXGRADE |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    | arcsinh | 0.09  |   0.08   |   1.24   | 0.22       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  |         | -0.28 |   0.09   |  -3.05   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    |         | 0.09  |   0.01   |  10.79   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -734.1269180765596
--------------------------------------------------------------------------------
bic: 1616.88
--------------------------------------------------------------------------------
MSE: 243.80
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.14 |   0.60   |  -0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.89  |   0.10   |   8.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.02  |   0.03   |   0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.09 |   0.11   |  -0.82   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.07 |   0.03   |  -2.17   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | 0.01  |   0.05   |   0.29   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.31  |   0.18   |   1.75   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.02  |   0.01   |   2.06   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.05  |   0.02   |   2.16   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -4.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.09  |   0.05   |   1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.22  |   0.06   |   3.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.02   |   0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.59 |   0.12   |  -4.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.06  |   0.02   |   2.44   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.37 |   0.44   |  -0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.39 |   0.34   |  -4.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.04 |   0.18   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.69  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.02 |   0.00   |  -41.73  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.01  |   0.00   |  11.49   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     | no      | 0.44  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      | no      | -0.04 |   0.05   |  -0.97   | 0.33       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 0  | arcsinh | 0.09  |   0.05   |   1.92   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES: hetro group 0   |         | 0.00  |   0.07   |   0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| main: TRAIN: hetro      |         | -0.15 |   0.02   |  -6.85   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -771.1071620671339
--------------------------------------------------------------------------------
bic: 1684.45
--------------------------------------------------------------------------------
MSE: 350.13
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.65 |   0.10   |  -6.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.11  |   0.02   |   6.03   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.76 |   0.05   |  -35.65  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.10 |   0.07   |  -1.47   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.02  |   0.01   |   1.21   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.58  |   0.05   |  10.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.40  |   0.05   |   8.56   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -0.85   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.51 |   0.08   |  -6.22   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.18 |   0.12   |  -1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.24 |   0.07   |  -3.67   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.02 |   0.03   |  -0.67   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.06  |   0.07   |   0.87   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.55  |   0.08   |   6.76   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.74 |   0.17   |  -4.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.08 |   0.00   |  -17.52  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.37  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | 0.30  |   0.01   |  44.51   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) uniform  |         | 0.05  |   0.00   |  35.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | -0.11 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.81 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.03 |   0.00   |  -19.54  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     | arcsinh | 1.11  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . DOUBLE   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | arcsinh | 0.41  |   0.11   |   3.72   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   |         | -0.00 |   0.01   |  -0.17   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | 0.03  |   0.01   |   3.97   | 0.00***    |
| group 0:tn_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -760.1492819731391
--------------------------------------------------------------------------------
bic: 1667.93
--------------------------------------------------------------------------------
MSE: 411.31
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.16 |   0.65   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.17  |   0.02   |   8.69   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.67 |   0.13   |  -5.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.54 |   0.36   |  -1.50   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.70   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.00 |   0.08   |  -0.01   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.03 |   0.21   |  -0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.16 |   0.03   |  -5.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.69  |   0.15   |   4.61   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.30 |   0.13   |  -2.35   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.26  |   0.07   |   3.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.86 |   0.33   |  -2.60   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.24  |   0.08   |   2.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.03 |   0.26   |  -0.12   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.16  |   0.09   |   1.91   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.21 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.15 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.51 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.05 |   0.00   |  -26.18  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.07  |   0.00   |  37.37   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.03  |   0.00   |  16.51   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.02 |   0.00   |  -5.01   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     | no      | -0.02 |   0.00   |  -4.38   | 0.00***    |
| Dev. uniform) . WIDTH   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: FC: hetro group 0 | arcsinh | 0.05  |   0.04   |   1.54   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  |         | -0.24 |   0.10   |  -2.35   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: FC: hetro group   |         | 0.06  |   0.01   |   5.11   | 0.00***    |
| 0:normal:sd  hetro      |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -780.9444160914543
--------------------------------------------------------------------------------
bic: 1722.80
--------------------------------------------------------------------------------
MSE: 323.81
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | 0.07  |   0.27   |   0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.11  |   0.09   |   1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.20 |   0.22   |  -0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.46  |   0.06   |   7.58   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.08  |   0.03   |   2.82   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.06  |   0.04   |   1.59   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.67 |   0.25   |  -2.64   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.44 |   0.07   |  -6.03   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.04  |   0.12   |   0.35   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.11 |   0.13   |  -0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.02 |   0.13   |  -0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.55 |   0.30   |  -1.84   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.11 |   0.04   |  -2.81   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.23  |   0.15   |   1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.07  |   0.02   |   3.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.33  |   0.07   |   4.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.15  |   0.05   |   2.76   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.10  |   0.00   |  33.84   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.04  |   0.00   |  22.07   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.17  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | 0.06  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.06  |   0.00   |  43.68   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.05  |   0.00   |  36.15   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.31  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. | no      | -0.06 |   0.00   |  -19.04  | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  | no      | -0.14 |   0.10   |  -1.39   | 0.17       |
| 0                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN: hetro group 0    | no      | -0.03 |   0.05   |  -0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW: hetro group 0  |         | -0.02 |   0.02   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  |         | -0.01 |   0.01   |  -0.60   | 0.55       |
| 0:normal:sd  hetro      |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -768.2019676729266
--------------------------------------------------------------------------------
bic: 1713.11
--------------------------------------------------------------------------------
MSE: 273.47
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.59 |   0.62   |  -0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.47  |   0.26   |   1.78   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.27 |   0.17   |  -1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.07   |  -0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.04   |   0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.08  |   0.08   |   0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.03   |   0.75   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.04  |   0.09   |   0.42   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.10 |   0.08   |  -1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.33 |   0.39   |  -0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.24 |   0.22   |  -1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.34  |   0.13   |   2.56   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.10  |   0.03   |   3.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.47 |   0.65   |  -0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.01  |   0.10   |   0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.45 |   0.49   |  -2.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.42  |   0.08   |   5.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   1.54   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.21 |   0.32   |  -0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.00  |   0.01   |   0.13   | 0.90       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.55   | 0.58       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.00 |   0.01   |  -0.05   | 0.96       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.00   |  -0.53   | 0.60       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.00 |   0.01   |  -0.13   | 0.90       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.00 |   0.01   |  -0.24   | 0.81       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -0.00   | 1.00       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.00 |   0.01   |  -0.14   | 0.89       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.00 |   0.00   |  -0.61   | 0.54       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.00  |   0.00   |   1.40   | 0.16       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.00  |   0.00   |   0.64   | 0.52       |
| Dev. normal) . MXGRADE  |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 1.70  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -792.6174868599719
--------------------------------------------------------------------------------
bic: 1727.47
--------------------------------------------------------------------------------
MSE: 4845.66
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.71 |   1.06   |  -0.67   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.73  |   0.12   |   6.04   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.01  |   0.05   |   0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.11 |   0.22   |  -0.49   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.09  |   0.13   |   0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.62  |   0.16   |   3.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.05  |   0.03   |   1.67   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.02  |   0.13   |   0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.07 |   0.04   |  -1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.06 |   0.04   |  -1.62   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.30  |   0.20   |   1.50   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.28  |   0.41   |   0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.02 |   0.00   |  -6.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.03  |   0.02   |   1.10   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -1.39 |   0.33   |  -4.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.07  |   0.04   |   1.92   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.12 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.12  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.12  |   0.00   |  47.48   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.04  |   0.00   |  14.77   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.00 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.21  |   0.01   |  39.70   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.10 |   0.00   |  -36.64  | 0.00***    |
| Dev. uniform) . WIDTH   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -741.3420746408052
--------------------------------------------------------------------------------
bic: 1653.89
--------------------------------------------------------------------------------
MSE: 5647.74
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.77 |   0.45   |  -1.69   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.02 |   0.10   |  -0.22   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.02  |   0.04   |   0.56   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.17 |   0.20   |  -0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.33  |   0.20   |   1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.04   |   0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.99   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.14  |   0.07   |   1.90   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.11 |   0.21   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.06  |   0.05   |   1.20   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.69 |   0.13   |  -5.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.09  |   0.03   |   3.26   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.75 |   0.23   |  -7.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.20  |   0.07   |   2.83   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.02 |   0.00   |  -5.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.24  |   0.07   |   3.59   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.27  |   0.09   |   3.16   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.05 |   0.06   |  -0.95   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.05  |   0.04   |   1.24   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.27 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.01 |   0.00   |  -24.16  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.02  |   0.00   |   6.67   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.05  |   0.00   |  21.30   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.05 |   0.00   |  -34.10  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.06  |   0.01   |   7.83   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.06 |   0.01   |  -8.44   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   | no      | 0.04  |   0.00   |  37.32   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     | arcsinh | 0.20  |   0.02   |   9.76   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE: hetro group 0   |         | 0.01  |   0.12   |   0.07   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     |         | 0.09  |   0.01   |   7.91   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -751.4514993664851
--------------------------------------------------------------------------------
bic: 1677.50
--------------------------------------------------------------------------------
MSE: 8438.13
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.10 |   0.20   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.09 |   0.11   |  -0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.01 |   0.04   |  -0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.31  |   0.06   |   5.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.01  |   0.08   |   0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.67 |   0.11   |  -5.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.02   |   3.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   2.52   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.29 |   0.06   |  -4.54   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | -0.04 |   0.05   |  -0.75   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.31  |   0.05   |   6.68   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.01   |   0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.22  |   0.02   |  13.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.52 |   0.08   |  -6.77   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.78 |   0.12   |  -6.60   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.08 |   0.07   |  -1.05   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.02  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.05 |   0.00   |  -28.22  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.02  |   0.00   |  11.50   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.04 |   0.00   |  -16.45  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   2.71   | 0.01*      |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | -0.09 |   0.00   |  -27.02  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.00  |   0.00   |   1.52   | 0.13       |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.07 |   0.00   |  -27.14  | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.44  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . LENGTH   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.09 |   0.00   |  -35.95  | 0.00***    |
| tn_normal) . LENGTH     |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.52 |   0.01   |  -50.00  | 0.00***    |
| tn_normal) . INCLANES   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | 0.36  |   0.00   |  50.00   | 0.00***    |
| lm_normal) . LENGTH     |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.78 |   0.00   |  -50.00  | 0.00***    |
| lm_normal) . INCLANES   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.05 |   0.00   |  -11.17  | 0.00***    |
| lm_normal) . SPEED      |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -728.8086686409092
--------------------------------------------------------------------------------
bic: 1614.53
--------------------------------------------------------------------------------
MSE: 397.63
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.54 |   0.17   |  -14.76  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.16 |   0.07   |  -2.23   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.06  |   0.03   |   1.77   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.41  |   0.13   |   3.16   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.95  |   0.06   |  15.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.47 |   0.10   |  -4.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.33  |   0.14   |   2.39   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.04 |   0.04   |  -1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.06   |   1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | 0.02  |   0.09   |   0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.32 |   0.10   |  -3.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.60 |   0.04   |  -14.22  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.09 |   0.00   |  -20.68  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.11  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.02 |   0.00   |  -15.98  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.04 |   0.00   |  -16.71  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.02  |   0.00   |  21.10   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.11  |   0.00   |  28.35   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.17 |   0.01   |  -14.67  | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.51 |   0.01   |  -50.00  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.01  |   0.00   |  11.89   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | 0.32  |   0.01   |  37.98   | 0.00***    |
| Dev. tn_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.07 |   0.00   |  -34.16  | 0.00***    |
| Dev. uniform) . URB     |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    | arcsinh | 0.16  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . DOUBLE  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    | arcsinh | 0.09  |   0.10   |   0.89   | 0.37       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   | no      | -0.00 |   0.02   |  -0.11   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 0 |         | 0.20  |   0.04   |   4.48   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    |         | 0.03  |   0.01   |   3.02   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.6883513948655
--------------------------------------------------------------------------------
bic: 1669.58
--------------------------------------------------------------------------------
MSE: 231.74
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.40 |   0.55   |  -0.73   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.16  |   0.16   |   7.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.14 |   0.24   |  -0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.18  |   0.25   |   0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.05  |   0.04   |   1.30   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.17 |   0.21   |  -5.48   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.05   |  -0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.05  |   0.04   |   1.19   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.13  |   0.11   |   1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.03 |   0.16   |  -0.17   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.32 |   0.13   |  -2.53   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.10   |   1.19   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.25  |   0.09   |   2.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.18 |   0.13   |  -1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.04 |   0.06   |  -0.62   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.22 |   0.20   |  -1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.03   |   0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.19  |   0.15   |   1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   1.30   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.08 |   0.13   |  -0.58   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.00  |   0.00   |   0.17   | 0.86       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.30   | 0.77       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.00 |   0.00   |  -0.14   | 0.89       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.00 |   0.00   |  -0.78   | 0.44       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.00  |   0.01   |   0.25   | 0.80       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   0.11   | 0.92       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.00 |   0.00   |  -1.40   | 0.16       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.01 |   0.01   |  -1.14   | 0.26       |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.01  |   0.01   |   1.44   | 0.15       |
| Dev. triangular) .      |         |       |          |          |            |
| PEAKHR (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.12  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -813.4175636271407
--------------------------------------------------------------------------------
bic: 1785.25
--------------------------------------------------------------------------------
MSE: 310.97
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -3.26 |   0.17   |  -18.66  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.13  |   0.13   |   1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.04 |   0.06   |  -0.64   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.07  |   0.02   |   3.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -1.20 |   0.17   |  -7.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.08   |   1.28   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.03  |   0.09   |   0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.50 |   0.08   |  -6.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.04  |   0.03   |   1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.15 |   0.23   |  -0.65   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.17  |   0.06   |   3.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.52 |   0.09   |  -5.77   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.04  |   0.03   |   1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.71  |   0.06   |  12.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.14 |   0.08   |  -1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | -0.70 |   0.00   |  -50.00  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) uniform  |         | 0.13  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.24  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.10 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.18  |   0.00   |  50.00   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.18 |   0.01   |  -32.68  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.00  |   0.00   |   1.63   | 0.11       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.04 |   0.00   |  -11.01  | 0.00***    |
| Dev. uniform) . WIDTH   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.18 |   0.00   |  -43.44  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| WIDTH (Std. Dev.        |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.14  |   0.01   |  21.84   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.02 |   0.01   |  -4.00   | 0.00***    |
| Dev. tn_normal) . WIDTH |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.00  |   0.01   |   0.34   | 0.73       |
| Dev. tn_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.17 |   0.01   |  -20.72  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| INTECHAG (Std. Dev.     |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -739.0218123520511
--------------------------------------------------------------------------------
bic: 1632.07
--------------------------------------------------------------------------------
MSE: 256.20
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.73 |   0.23   |  -7.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.17  |   0.10   |  11.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.00 |   0.01   |  -0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.09 |   0.03   |  -2.61   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.11  |   0.02   |   5.49   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.18 |   0.18   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.01   |   3.68   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.48 |   0.19   |  -2.46   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -3.69   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.04  |   0.05   |   0.80   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.25  |   0.07   |   3.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.51 |   0.26   |  -1.98   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.35 |   0.12   |  -2.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.04 |   0.05   |  -0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.32  |   0.13   |   2.55   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 1.17  |   0.01   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | 0.80  |   0.01   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.02 |   0.00   |  -9.48   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -4.97   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     | no      | 0.35  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   | no      | -0.13 |   0.23   |  -0.57   | 0.57       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 | sqrt    | 0.04  |   0.04   |   0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| main: FRICTION: hetro   | arcsinh | -0.68 |   0.06   |  -11.41  | 0.00***    |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW: hetro group 1  |         | -0.09 |   0.06   |  -1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   |         | -0.12 |   0.03   |  -3.71   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: FRICTION: hetro   |         | 0.04  |   0.02   |   2.60   | 0.01*      |
| group 1:uniform:sd      |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -742.1383632317952
--------------------------------------------------------------------------------
bic: 1616.72
--------------------------------------------------------------------------------
MSE: 272.54
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.19 |   1.91   |  -0.62   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.04  |   0.08   |  12.58   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.00 |   0.24   |  -0.02   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.08  |   0.07   |   1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.02   |   3.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -3.44   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.05  |   0.06   |   0.87   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.05   |   4.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.01   |   0.31   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.48 |   0.13   |  -3.62   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.20  |   0.14   |   1.40   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.56 |   0.15   |  -3.76   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.74 |   0.33   |  -2.24   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.25 |   0.10   |  -2.48   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.04 |   0.08   |  -0.46   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.00 |   0.00   |  -1.02   | 0.31       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.01  |   0.00   |   6.26   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.16  |   0.00   |  50.00   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.39 |   0.01   |  -29.39  | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.04 |   0.00   |  -9.68   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.39  |   0.01   |  50.00   | 0.00***    |
| uniform) . WIDTH (Std.  |         |       |          |          |            |
| Dev.   tn_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.14 |   0.00   |  -31.73  | 0.00***    |
| Dev. uniform) . WIDTH   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.13  |   0.00   |  25.56   | 0.00***    |
| Dev. uniform) . URB     |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -756.5652760684392
--------------------------------------------------------------------------------
bic: 1714.69
--------------------------------------------------------------------------------
MSE: 1193.02
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.17 |   3.39   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.13  |   0.04   |   3.17   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.02 |   0.03   |  -0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.46  |   0.18   |   2.59   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.31 |   0.38   |  -3.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.36 |   0.12   |  -3.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.09 |   0.06   |  -1.40   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   1.71   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.46 |   0.31   |  -1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.32 |   0.16   |  -2.04   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.37  |   0.13   |   2.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.55 |   0.12   |  -4.61   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.25  |   0.31   |   0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.01  |   0.02   |   0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.19  |   0.10   |   1.81   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.03   |   1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.04 |   0.03   |  -1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.25  |   0.13   |   1.93   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.03  |   0.02   |   1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.09  |   0.08   |   1.19   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.36  |   0.16   |   2.22   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.25  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.02  |   0.00   |  27.92   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.02  |   0.00   |  10.08   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.04 |   0.00   |  -13.72  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.22 |   0.01   |  -19.37  | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.02 |   0.00   |  -31.61  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.14 |   0.00   |  -44.24  | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.04 |   0.00   |  -20.57  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.02  |   0.00   |  12.35   | 0.00***    |
| Dev. tn_normal) . TRAIN |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | 0.03  |   0.00   |  12.44   | 0.00***    |
| normal) . TRAIN (Std.   |         |       |          |          |            |
| Dev.   lm_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | 0.28  |   0.00   |  50.00   | 0.00***    |
| normal) . CURVES (Std.  |         |       |          |          |            |
| Dev.   tn_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.03  |   0.00   |   9.69   | 0.00***    |
| Dev. normal) . TRAIN    |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.08  |   0.00   |  32.14   | 0.00***    |
| Dev. normal) . CURVES   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.04  |   0.00   |  25.87   | 0.00***    |
| Dev. normal) . SLOPE    |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -772.4646471826184
--------------------------------------------------------------------------------
bic: 1746.49
--------------------------------------------------------------------------------
MSE: 1086.10
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.53 |   1.01   |  -0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.04 |   0.07   |  -0.56   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.09  |   0.03   |   2.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.08 |   0.49   |  -2.18   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.21 |   0.11   |  -2.00   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | 0.04  |   0.02   |   2.59   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.16  |   0.09   |   1.83   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.34 |   0.34   |  -1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.40 |   0.05   |  -7.49   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.51  |   0.07   |   7.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.12  |   0.12   |   1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.39 |   0.28   |  -1.40   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.48  |   0.10   |   5.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.05 |   0.09   |  -0.59   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.06  |   0.03   |   2.14   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.12  |   0.04   |   3.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.00 |   0.03   |  -0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.14  |   0.06   |   2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.21  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.01 |   0.00   |  -8.47   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.01  |   0.00   |   4.72   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.00  |   0.00   |   1.03   | 0.31       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.04  |   0.00   |  27.23   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.01 |   0.00   |  -7.77   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.01  |   0.00   |  12.30   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | 0.00  |   0.00   |   0.77   | 0.44       |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.06 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) . MIGRADE  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | 0.14  |   0.00   |  46.57   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| MIGRADE (Std. Dev.      |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.02 |   0.00   |  -10.89  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| MXGRADE (Std. Dev.      |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.03  |   0.00   |   7.10   | 0.00***    |
| Dev. uniform) . MIGRADE |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.21  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . MXGRADE |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.11 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| MXGRDIFF (Std. Dev.     |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | 0.23  |   0.00   |  50.00   | 0.00***    |
| tn_normal) . MIGRADE    |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.02 |   0.00   |  -22.55  | 0.00***    |
| tn_normal) . MXGRADE    |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | 0.10  |   0.00   |  25.59   | 0.00***    |
| tn_normal) . MXGRDIFF   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.13 |   0.01   |  -18.85  | 0.00***    |
| tn_normal) . MINRAD     |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -725.1610967603516
--------------------------------------------------------------------------------
bic: 1613.63
--------------------------------------------------------------------------------
MSE: 800.19
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.73 |   0.87   |  -0.83   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.25  |   0.08   |   3.05   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.52 |   0.23   |  -6.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.02 |   0.04   |  -0.58   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.39 |   0.18   |  -2.15   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.01   |   1.47   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   3.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.06  |   0.02   |   3.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.09  |   0.05   |   1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.15  |   0.06   |   2.69   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.11  |   0.06   |   1.67   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.00  |   0.08   |  12.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.65 |   0.08   |  -8.42   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.05  |   0.05   |   1.03   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.02 |   0.02   |  -1.10   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.23 |   0.20   |  -1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.29 |   0.09   |  -3.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.43  |   0.20   |   2.14   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.01 |   0.02   |  -0.38   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.03  |   0.00   |  15.61   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | -0.04 |   0.00   |  -21.61  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.01 |   0.00   |  -10.04  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.04 |   0.00   |  -10.98  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.27 |   0.01   |  -45.00  | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.73 |   0.00   |  -50.00  | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.01  |   0.00   |  11.87   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | 0.12  |   0.00   |  26.45   | 0.00***    |
| tn_normal) . URB (Std.  |         |       |          |          |            |
| Dev.   lm_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.02 |   0.00   |  -25.23  | 0.00***    |
| Dev. normal) . URB      |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.16  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . TRAIN    |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -749.788413513153
--------------------------------------------------------------------------------
bic: 1660.49
--------------------------------------------------------------------------------
MSE: 4749.05
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.25 |   0.39   |  -0.65   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.26 |   0.14   |  -1.81   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.06 |   0.10   |  -0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.04 |   0.10   |  -0.42   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.34 |   0.24   |  -1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.06 |   0.04   |  -1.53   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   2.07   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.04  |   0.04   |   0.96   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.17 |   0.15   |  -1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.41 |   0.08   |  -5.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.19  |   0.06   |   3.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.08 |   0.07   |  -1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.96  |   0.11   |   8.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.35  |   0.13   |   2.73   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.02 |   0.19   |  -5.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.01  |   0.02   |   0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.17  |   0.07   |   2.44   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.30  |   0.09   |   3.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.10  |   0.07   |   1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.38 |   0.01   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.06 |   0.01   |  -9.95   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.01 |   0.00   |  -17.31  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.44 |   0.01   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.23  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   | no      | -0.02 |   0.00   |  -7.77   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | arcsinh | -0.01 |   0.02   |  -0.72   | 0.47       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES: hetro group 0   |         | -0.05 |   0.09   |  -0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | 0.08  |   0.01   |   6.36   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -716.7892703014671
--------------------------------------------------------------------------------
bic: 1587.60
--------------------------------------------------------------------------------
MSE: 541.51
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.79 |   0.45   |  -1.76   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.92  |   0.06   |  15.83   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.16 |   0.16   |  -1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.10 |   0.03   |  -2.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.04   |  -1.47   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | 0.05  |   0.18   |   0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   3.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.22 |   0.14   |  -1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.51  |   0.11   |   4.65   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.63   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.02   |   2.61   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.47 |   0.21   |  -6.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.24  |   0.05   |   4.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | 0.02  |   0.05   |   0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.16 |   0.13   |  -1.22   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -3.81   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.02 |   0.00   |  -5.16   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -5.87   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.03  |   0.00   |  44.76   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.02  |   0.00   |  28.18   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.05 |   0.00   |  -16.24  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.02  |   0.00   |   6.10   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.23 |   0.00   |  -50.00  | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    | no      | 0.03  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| SPEED (Std. Dev.        |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   | no      | -0.22 |   0.13   |  -1.75   | 0.08.      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 0  |         | -0.01 |   0.04   |  -0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   |         | -0.07 |   0.05   |  -1.39   | 0.17       |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -790.1856192918741
--------------------------------------------------------------------------------
bic: 1738.79
--------------------------------------------------------------------------------
MSE: 358.94
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -4.36 |   0.38   |  -11.55  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.61 |   0.14   |  -4.42   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.18 |   0.10   |  -1.83   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.57 |   0.29   |  -1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.03  |   0.13   |   0.22   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.33  |   0.08   |   4.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.03  |   0.03   |   0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.30  |   0.12   |   2.61   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.07  |   0.04   |   1.66   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.38   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.58  |   0.14   |   4.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.05   |  -0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.01 |   0.02   |  -0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -1.02 |   0.20   |  -5.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.05 |   0.01   |  -5.54   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.52  |   0.12   |   4.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.07  |   0.02   |   4.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.43  |   0.06   |   7.53   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.22  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.17  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.00  |   0.00   |   1.60   | 0.11       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -12.36  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | 0.06  |   0.01   |   5.87   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.03  |   0.00   |  22.56   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.09 |   0.00   |  -21.08  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.14 |   0.01   |  -22.05  | 0.00***    |
| Dev. tn_normal) . TRAIN |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.05  |   0.01   |   6.08   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| TRAIN (Std. Dev.        |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.05 |   0.00   |  -19.32  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| MXGRADE (Std. Dev.      |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -741.850666080034
--------------------------------------------------------------------------------
bic: 1660.80
--------------------------------------------------------------------------------
MSE: 1266.66
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.26 |   0.71   |  -0.37   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.98  |   0.08   |  11.78   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.19 |   0.55   |  -0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.02 |   0.05   |  -0.34   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.12 |   0.18   |  -0.67   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.03 |   0.04   |  -0.67   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   2.81   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.01  |   0.08   |   0.13   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.03  |   0.07   |   0.46   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.41 |   0.20   |  -2.02   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.38 |   0.40   |  -3.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | -0.00 |   0.01   |  -0.39   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.04   |  -1.21   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.06   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.10 |   0.09   |  -1.05   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.17 |   0.26   |  -0.65   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.12  |   0.07   |   1.89   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | -0.03 |   0.00   |  -12.35  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -3.49   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.06  |   0.01   |  10.81   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.04 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | -0.23 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.08 |   0.00   |  -20.21  | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. | arcsinh | 0.49  |   0.01   |  50.00   | 0.00***    |
| tn_normal) . INCLANES   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    | no      | 0.39  |   0.17   |   2.28   | 0.02*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW: hetro group 0  | no      | -0.00 |   0.02   |  -0.01   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  | no      | -0.38 |   0.12   |  -3.17   | 0.00***    |
| 1                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 1 |         | 0.25  |   0.06   |   3.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    |         | -0.01 |   0.02   |  -0.55   | 0.58       |
| group 0:tn_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  |         | 0.28  |   0.04   |   6.82   | 0.00***    |
| 1:normal:sd  hetro      |         |       |          |          |            |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -757.0371401463783
--------------------------------------------------------------------------------
bic: 1685.28
--------------------------------------------------------------------------------
MSE: 549.29
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.13 |   3.29   |  -0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.17  |   0.01   |  11.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.31 |   0.24   |  -1.27   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.49 |   0.35   |  -1.39   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | 0.05  |   0.08   |   0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.17 |   0.31   |  -0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.12  |   0.13   |   0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.76   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.39 |   0.09   |  -4.37   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.38  |   0.06   |   6.66   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -0.80   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.06 |   0.03   |  -2.02   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.13 |   0.64   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.05   |   0.22   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.67   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.25  |   0.09   |   2.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.01 |   0.08   |  -0.16   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.31 |   0.18   |  -1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.10  |   0.03   |   3.66   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.27  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.11 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.01  |   0.00   |   3.31   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.19 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.00 |   0.00   |  -0.81   | 0.42       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | 0.02  |   0.00   |   5.85   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.27  |   0.01   |  33.49   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | -0.02 |   0.00   |  -12.01  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     | arcsinh | 0.04  |   0.00   |   8.93   | 0.00***    |
| Dev. uniform) . ACCESS  |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    | log     | 0.34  |   0.23   |   1.48   | 0.14       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 |         | -1.00 |   0.40   |  -2.48   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    |         | -0.14 |   0.02   |  -6.89   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -761.3597037397466
--------------------------------------------------------------------------------
bic: 1643.38
--------------------------------------------------------------------------------
MSE: 472.23
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.58 |   0.72   |  -0.80   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.15  |   0.02   |   7.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.37 |   0.26   |  -1.39   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.28 |   0.14   |  -1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.13 |   0.22   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.04  |   0.10   |   0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -2.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.28  |   0.07   |   4.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.46  |   0.12   |   3.69   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.04 |   0.02   |  -1.93   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.52  |   0.14   |   3.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.22 |   0.15   |  -1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.61   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.20 |   0.23   |  -0.87   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.14 |   0.01   |  -18.30  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.06 |   0.00   |  -15.72  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.01 |   0.00   |  -25.92  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   | arcsinh | -0.17 |   0.00   |  -50.00  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    | arcsinh | -0.33 |   0.12   |  -2.89   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR: hetro group 0  | arcsinh | 0.22  |   0.08   |   2.76   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  |         | -0.64 |   0.07   |  -8.73   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    |         | 0.07  |   0.02   |   3.05   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -719.6106699698961
--------------------------------------------------------------------------------
bic: 1608.42
--------------------------------------------------------------------------------
MSE: 330.10
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.47 |   0.19   |  -2.49   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.29 |   0.11   |  -2.71   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.49  |   0.19   |   2.63   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.94 |   0.15   |  -6.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.10 |   0.10   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.03   |   2.42   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.02   |  -0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.06 |   0.13   |  -0.46   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.22  |   0.06   |   3.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.25  |   0.09   |   2.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.09  |   0.11   |   9.67   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.24 |   0.16   |  -1.54   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.38 |   0.29   |  -1.29   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.28  |   0.19   |   1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.00  |   0.04   |   0.07   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.15  |   0.07   |   2.30   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.06  |   0.03   |   1.86   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.01   |  -0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.16 |   0.12   |  -1.28   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.41 |   0.08   |  -5.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.00  |   0.00   |   0.11   | 0.91       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.01 |   0.00   |  -5.92   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.06 |   0.00   |  -35.71  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.01 |   0.00   |  -4.09   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.03 |   0.01   |  -2.92   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.02 |   0.00   |  -4.39   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.01 |   0.00   |  -2.04   | 0.04*      |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -3.31   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.58 |   0.01   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.01  |   0.00   |  40.33   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.53  |   0.01   |  50.00   | 0.00***    |
| Dev. normal) . FRICTION |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.1386079940138
--------------------------------------------------------------------------------
bic: 1664.09
--------------------------------------------------------------------------------
MSE: 198.91
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.65 |   0.79   |  -0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.92  |   0.12   |   7.61   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.09 |   0.60   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.27 |   0.18   |  -1.54   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.49  |   0.73   |   0.67   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.67 |   0.46   |  -1.45   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.22 |   0.16   |  -1.36   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.24 |   1.33   |  -0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.03   |   0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.00 |   0.04   |  -0.03   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.07  |   0.79   |   0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.01  |   0.21   |   0.07   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.14 |   0.33   |  -0.42   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.12 |   0.60   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.23   |  -0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.03   |   0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.05  |   0.10   |   0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.05 |   0.19   |  -0.27   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.02  |   0.15   |   0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.00  |   0.00   |   0.15   | 0.88       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.00  |   0.01   |   0.17   | 0.87       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.00 |   0.01   |  -0.06   | 0.95       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.00 |   0.00   |  -0.38   | 0.71       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.00  |   0.00   |   0.03   | 0.98       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.01   |   0.25   | 0.80       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.00 |   0.00   |  -0.23   | 0.82       |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: ADTLANE: hetro    | log     | -0.28 |   0.10   |  -2.86   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 0 | no      | 0.20  |   0.16   |   1.24   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| main: ADTLANE: hetro    |         | -0.00 |   0.08   |  -0.01   | 0.99       |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.13  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -741.4350856547692
--------------------------------------------------------------------------------
bic: 1659.47
--------------------------------------------------------------------------------
MSE: 257.30
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.57 |   0.79   |  -1.99   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.34 |   0.30   |  -1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.05 |   0.02   |  -3.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.21 |   0.21   |  -0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.05  |   0.17   |   0.27   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.04 |   0.04   |  -0.89   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.03   |   0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.02   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.06  |   0.08   |  13.63   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.13 |   0.19   |  -0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.53 |   0.12   |  -4.33   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.01   |   2.77   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.06  |   0.07   |   0.89   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.21  |   0.10   |   2.15   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -1.01 |   0.28   |  -3.58   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.00 |   0.04   |  -0.07   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.08  |   0.03   |   2.68   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.14 |   0.01   |  -11.58  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.12  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | -0.79 |   0.01   |  -50.00  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.01  |   0.00   |  12.96   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.27  |   0.01   |  29.32   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.47  |   0.01   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.40  |   0.01   |  50.00   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.01  |   0.01   |   2.53   | 0.01*      |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | 0.03  |   0.00   |  38.25   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.75 |   0.00   |  -50.00  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| WIDTH (Std. Dev.        |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | 0.23  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . WIDTH   |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    | log     | 0.05  |   0.00   |  13.82   | 0.00***    |
| Dev. uniform) . MIMEDSH |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DOUBLE: hetro     | no      | 0.27  |   0.14   |   1.90   | 0.06.      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG: hetro group 0 |         | 0.09  |   0.06   |   1.54   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| main: DOUBLE: hetro     |         | 0.06  |   0.05   |   1.24   | 0.22       |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -731.3713566549026
--------------------------------------------------------------------------------
bic: 1629.05
--------------------------------------------------------------------------------
MSE: 39608.88
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.59 |   0.15   |  -17.60  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.08  |   0.09   |  12.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.24 |   0.21   |  -1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.28 |   0.21   |  -1.33   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.09  |   0.04   |   2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | -0.12 |   0.10   |  -1.20   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.04   |   0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.11  |   0.11   |   1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.00  |   0.01   |   0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.01   |   1.79   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.40 |   0.12   |  -3.42   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.01   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.20 |   0.11   |  -1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.04  |   0.04   |   1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.01  |   0.02   |   0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.02 |   0.03   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.42 |   0.09   |  -4.67   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.13  |   0.08   |   1.54   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 1.73  |   0.01   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.00  |   0.00   |   1.76   | 0.08.      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -1.59   | 0.11       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.01 |   0.00   |  -2.44   | 0.02*      |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.01 |   0.00   |  -2.85   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.02  |   0.00   |   5.36   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     | arcsinh | -0.12 |   0.01   |  -12.93  | 0.00***    |
| Dev. normal) . SPEED    |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     | no      | -0.34 |   0.16   |  -2.15   | 0.03*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE: hetro group 0  | arcsinh | 0.04  |   0.01   |   3.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT: hetro group 0  | no      | -0.09 |   0.08   |  -1.24   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 |         | -0.02 |   0.01   |  -2.29   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     |         | -0.16 |   0.02   |  -10.40  | 0.00***    |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -745.5426299571909
--------------------------------------------------------------------------------
bic: 1634.32
--------------------------------------------------------------------------------
MSE: 4823.28
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.23 |   1.53   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.09 |   0.20   |  -0.46   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.41 |   0.21   |  -1.96   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.79 |   0.19   |  -4.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.04   |  -1.39   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.34 |   0.22   |  -1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.04  |   0.03   |   1.36   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.78 |   0.25   |  -3.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.03 |   0.09   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.10  |   0.06   |  18.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.28  |   0.11   |   2.59   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.19 |   0.21   |  -0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.02  |   0.03   |   0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.39 |   0.12   |  -3.22   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   3.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | -0.00 |   0.03   |  -0.07   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.04  |   0.00   |  25.06   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.10 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.02  |   0.00   |  10.21   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.11  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.92 |   0.01   |  -50.00  | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.02 |   0.00   |  -8.17   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | 0.00  |   0.00   |   0.89   | 0.37       |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.01 |   0.00   |  -5.68   | 0.00***    |
| Dev. uniform) . URB     |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | 0.03  |   0.00   |  13.24   | 0.00***    |
| Dev. tn_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | 0.02  |   0.00   |   4.15   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| MXGRADE (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -711.734053015566
--------------------------------------------------------------------------------
bic: 1589.28
--------------------------------------------------------------------------------
MSE: 588.30
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.25 |   0.40   |  -0.62   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.58 |   0.34   |  -1.68   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.67 |   0.29   |  -2.29   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.03   |   0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.05  |   0.02   |   2.52   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.03 |   0.07   |  -0.42   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.04 |   0.08   |  -0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.00 |   0.12   |  -0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.03 |   0.09   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.05  |   0.02   |   2.23   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.41 |   0.14   |  -2.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.84 |   0.24   |  -3.53   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.92  |   0.09   |  10.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.21  |   0.07   |   3.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.22  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -1.19 |   0.01   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.00 |   0.00   |  -0.31   | 0.76       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.05 |   0.00   |  -18.14  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.01 |   0.00   |  -6.53   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.07 |   0.00   |  -24.86  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.04  |   0.00   |  11.74   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   | no      | 0.21  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . LENGTH   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MEDWIDTH: hetro   | no      | 0.02  |   0.03   |   0.76   | 0.45       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE: hetro group 0   | arcsinh | 0.01  |   0.02   |   0.50   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | arcsinh | 0.27  |   0.13   |   2.07   | 0.04*      |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 1   | sqrt    | 0.02  |   0.02   |   0.85   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 1  | no      | -0.01 |   0.00   |  -5.05   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW: hetro group 1  |         | 0.01  |   0.01   |   0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MEDWIDTH: hetro   |         | -0.05 |   0.02   |  -2.80   | 0.01*      |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | 0.03  |   0.00   |  12.03   | 0.00***    |
| group 1:uniform:sd      |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.083547499408
--------------------------------------------------------------------------------
bic: 1643.30
--------------------------------------------------------------------------------
MSE: 595.30
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.45 |   0.20   |  -2.29   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.08 |   0.15   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.30  |   0.12   |   2.41   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.05   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.05 |   0.06   |  -0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.51 |   0.25   |  -2.04   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.13  |   0.07   |   1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.25  |   0.10   |   2.51   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.02   |   0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.13  |   0.15   |   0.85   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.24 |   0.27   |  -4.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.19  |   0.22   |   0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.01 |   0.11   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.06  |   0.10   |   0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.84 |   0.01   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.00  |   0.00   |   1.27   | 0.20       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | 0.00  |   0.01   |   0.22   | 0.83       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.00  |   0.01   |   0.79   | 0.43       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | -0.01 |   0.00   |  -1.48   | 0.14       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.01 |   0.02   |  -0.47   | 0.64       |
| Dev. lm_normal) .       |         |       |          |          |            |
| PEAKHR (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.01  |   0.01   |   0.81   | 0.42       |
| Dev. normal) . PEAKHR   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | -0.02 |   0.01   |  -2.18   | 0.03*      |
| Dev. normal) . CURVES   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     | log     | 1.27  |   0.12   |  10.49   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH: hetro group 0    | log     | -0.80 |   0.25   |  -3.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     |         | 0.18  |   0.03   |   6.65   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 3.17  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -742.2160844479114
--------------------------------------------------------------------------------
bic: 1654.24
--------------------------------------------------------------------------------
MSE: 233.94
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.57 |   0.42   |  -1.36   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.92  |   0.14   |   6.48   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.33 |   0.18   |  -1.85   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.26 |   0.18   |  -1.47   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.20  |   0.23   |   0.87   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.47   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.00 |   0.03   |  -0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.04 |   0.06   |  -0.67   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.49 |   0.17   |  -2.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.22  |   0.08   |   2.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.26 |   0.17   |  -1.54   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.44 |   0.17   |  -2.68   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.07 |   0.05   |  -1.40   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.09  |   0.10   |   0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.09   |   1.22   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.60  |   0.26   |   2.28   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.22 |   0.09   |  -2.41   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.00  |   0.00   |   0.06   | 0.95       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.00  |   0.00   |   0.28   | 0.78       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | -0.00 |   0.00   |  -0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.00 |   0.00   |  -0.43   | 0.67       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.00  |   0.00   |   0.22   | 0.82       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.00  |   0.01   |   0.02   | 0.98       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   0.02   | 0.98       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | -0.00 |   0.04   |  -0.09   | 0.93       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.00  |   0.00   |   0.70   | 0.49       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.00 |   0.01   |  -0.02   | 0.99       |
| Dev. lm_normal) .       |         |       |          |          |            |
| MXMEDSH (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.21  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -788.1458689045982
--------------------------------------------------------------------------------
bic: 1736.21
--------------------------------------------------------------------------------
MSE: 4863.02
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.26 |   0.55   |  -0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.23 |   0.11   |  -2.14   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.16  |   0.10   |   1.59   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.82 |   0.14   |  -5.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.29 |   0.12   |  -2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.04   |  -1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.00 |   0.06   |  -0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.35  |   0.25   |   1.43   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.98 |   0.56   |  -1.76   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | -0.00 |   0.10   |  -0.03   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.13  |   0.37   |   0.37   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.11  |   0.66   |   0.17   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.06 |   0.06   |  -1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.16  |   0.05   |   2.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.56  |   0.07   |   8.39   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.13  |   0.04   |   3.30   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.97 |   0.23   |  -4.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.20 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.08  |   0.00   |  27.58   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.11 |   0.00   |  -24.51  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.10 |   0.00   |  -38.47  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.07 |   0.01   |  -12.86  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.15 |   0.00   |  -45.39  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.39 |   0.00   |  -50.00  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     | no      | 0.46  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| TANGENT (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXGRADE: hetro    | arcsinh | 0.05  |   0.02   |   2.67   | 0.01*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES: hetro group 0   |         | 0.58  |   0.08   |   6.92   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXGRADE: hetro    |         | 0.09  |   0.02   |   5.79   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -777.7682218034454
--------------------------------------------------------------------------------
bic: 1721.85
--------------------------------------------------------------------------------
MSE: 851.90
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.20 |   0.39   |  -0.50   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.08 |   0.08   |  -1.03   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.33  |   0.12   |   2.72   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.00 |   0.06   |  -0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.20  |   0.24   |   0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.02  |   0.07   |   0.31   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.34  |   0.13   |   2.63   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.17 |   1.00   |  -1.17   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.16 |   0.18   |  -0.89   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.02 |   0.88   |  -0.02   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.00  |   0.34   |   0.01   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.09  |   0.11   |   0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.12  |   0.03   |   3.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.37 |   0.42   |  -0.89   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.00  |   0.00   |   0.23   | 0.82       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.00  |   0.01   |   0.09   | 0.93       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.00 |   0.00   |  -0.21   | 0.83       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -0.12   | 0.90       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.00 |   0.05   |  -0.01   | 0.99       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | -0.05 |   0.01   |  -3.91   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.00 |   0.03   |  -0.09   | 0.93       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.00 |   0.00   |  -0.93   | 0.35       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | 0.00  |   0.01   |   0.15   | 0.88       |
| Dev. uniform) . MIGRADE |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.00  |   0.01   |   0.36   | 0.72       |
| Dev. uniform) . MIGRADE |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.00 |   0.01   |  -0.63   | 0.53       |
| Dev. uniform) .         |         |       |          |          |            |
| MXGRDIFF (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.08  |   0.00   |  17.40   | 0.00***    |
| Dev. normal) . MIGRADE  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.03 |   0.00   |  -9.08   | 0.00***    |
| Dev. normal) . MXGRDIFF |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.00  |   0.02   |   0.05   | 0.96       |
| Dev. normal) . CURVES   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 1.62  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -784.1812818380911
--------------------------------------------------------------------------------
bic: 1721.88
--------------------------------------------------------------------------------
MSE: 200.58
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.25 |   0.52   |  -0.49   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.46 |   0.29   |  -1.56   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.11  |   0.03   |   3.66   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.08 |   0.19   |  -0.42   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.49  |   0.29   |   1.68   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.52  |   0.07   |   7.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.09  |   0.03   |   2.76   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.09  |   0.09   |   0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.34 |   0.13   |  -2.56   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.37 |   0.15   |  -2.47   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.13 |   0.12   |  -1.10   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.04  |   0.02   |   2.04   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   3.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.58 |   0.18   |  -3.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.48  |   0.06   |   8.66   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.04   |  -0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.43 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.68 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.01 |   0.00   |  -16.76  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.01 |   0.00   |  -11.37  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.64 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.04 |   0.00   |  -16.84  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    | sqrt    | 0.01  |   0.00   |  12.89   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DOUBLE: hetro     | arcsinh | -0.20 |   0.22   |  -0.89   | 0.38       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   | arcsinh | -0.01 |   0.03   |  -0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  |         | -0.36 |   0.10   |  -3.56   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: DOUBLE: hetro     |         | 0.08  |   0.02   |   3.75   | 0.00***    |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -739.8786463126612
--------------------------------------------------------------------------------
bic: 1645.57
--------------------------------------------------------------------------------
MSE: 405.68
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.67 |   0.53   |  -1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.03  |   0.21   |   0.12   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.27 |   0.21   |  -1.29   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.05   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.02 |   0.04   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.04  |   0.04   |   0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.11  |   0.08   |   1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.11  |   0.02   |   5.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.42 |   0.21   |  -2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.06 |   0.09   |  -0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.04  |   0.02   |   2.37   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.02  |   0.08   |   0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.98 |   0.35   |  -2.78   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.35  |   0.07   |   5.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -6.51   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.29  |   0.06   |   5.17   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.01  |   0.00   |  23.54   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.05  |   0.00   |  42.95   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.01 |   0.00   |  -3.72   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.00 |   0.00   |  -3.22   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.05  |   0.00   |  13.08   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.01 |   0.00   |  -32.07  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.00  |   0.00   |   0.04   | 0.97       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.07  |   0.01   |  10.67   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.19  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.00 |   0.00   |  -20.64  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| GRADEBR (Std. Dev.      |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.05  |   0.01   |   8.33   | 0.00***    |
| Dev. normal) . GRADEBR  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.33 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) . ADTLANE  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -768.4851264915727
--------------------------------------------------------------------------------
bic: 1691.99
--------------------------------------------------------------------------------
MSE: 1460.10
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.04 |   1.97   |  -0.02   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.02 |   0.03   |  -0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.12 |   0.10   |  -1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.15  |   0.14   |   1.05   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.09   |  -0.17   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.03   |   1.82   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.18 |   0.64   |  -0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.40  |   0.07   |   5.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.20  |   0.04   |   4.51   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.03 |   0.90   |  -0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.02  |   0.08   |   0.25   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.03   |   1.13   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.05 |   0.67   |  -1.56   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.15  |   0.26   |   0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.40 |   0.32   |  -1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.16 |   0.23   |  -0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.08  |   0.00   |  26.77   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.05  |   0.00   |  47.30   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.03 |   0.01   |  -3.82   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.04  |   0.00   |  47.82   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | -0.14 |   0.01   |  -25.69  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.20 |   0.00   |  -48.54  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    | no      | 0.02  |   0.01   |   2.97   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| ADTLANE (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  | no      | -0.10 |   0.15   |  -0.66   | 0.51       |
| 0                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE: hetro group 0    |         | 0.10  |   0.06   |   1.66   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  |         | 0.04  |   0.07   |   0.59   | 0.55       |
| 0:tn_normal:sd  hetro   |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -721.4802338392584
--------------------------------------------------------------------------------
bic: 1615.16
--------------------------------------------------------------------------------
MSE: 280.26
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.27 |   0.57   |  -0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.31 |   0.18   |  -1.70   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.14 |   0.10   |  -1.36   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.01 |   0.09   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.38 |   0.48   |  -0.79   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.21 |   0.11   |  -2.02   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.05   |  -0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.23 |   0.18   |  -1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.09  |   0.02   |   3.46   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.06 |   0.07   |  -0.80   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.65   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.06  |   0.05   |   1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.06   |   3.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.01   |   0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.26  |   0.10   |  12.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.28 |   0.19   |  -1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.16 |   0.43   |  -2.69   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -2.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.56  |   0.16   |   3.46   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.04 |   0.23   |  -0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.06  |   0.07   |   0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.04 |   0.00   |  -22.25  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.02  |   0.01   |   2.90   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.01 |   0.00   |  -9.14   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | -0.32 |   0.01   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | -0.14 |   0.00   |  -29.37  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.01 |   0.00   |  -7.06   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 0.19  |   0.01   |  18.63   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MXMEDSH (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | 0.11  |   0.00   |  40.31   | 0.00***    |
| tn_normal) . MXMEDSH    |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | 0.08  |   0.00   |  29.48   | 0.00***    |
| tn_normal) . SINGLE     |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -750.941597323602
--------------------------------------------------------------------------------
bic: 1650.51
--------------------------------------------------------------------------------
MSE: 225.85
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.68 |   0.35   |  -1.96   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.16  |   0.10   |  12.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.33 |   0.36   |  -3.67   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.13 |   0.11   |  -1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.09 |   0.05   |  -1.92   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.06 |   0.05   |  -1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   1.41   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.06  |   0.01   |   4.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.13 |   0.10   |  -1.30   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.03   |   0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.05  |   0.04   |   1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -2.03   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.02 |   0.14   |  -0.17   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.16 |   0.09   |  -1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.01  |   0.04   |   0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.30 |   0.30   |  -0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.07   |  -0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.15  |   0.06   |   2.54   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.05 |   0.01   |  -8.90   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.03 |   0.00   |  -12.52  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.09  |   0.00   |  43.05   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.18  |   0.00   |  50.00   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.30  |   0.01   |  28.53   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | 0.05  |   0.00   |  14.56   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.08  |   0.00   |  18.78   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| WIDTH (Std. Dev.        |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | -0.48 |   0.00   |  -50.00  | 0.00***    |
| tn_normal) . WIDTH      |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SLOPE (Std. Dev. |         | 0.11  |   0.01   |  10.31   | 0.00***    |
| tn_normal) . MIGRADE    |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -725.1925642274746
--------------------------------------------------------------------------------
bic: 1639.27
--------------------------------------------------------------------------------
MSE: 1686.04
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.89 |   0.41   |  -4.60   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.02  |   0.07   |  13.81   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.13  |   0.19   |   0.65   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.02  |   0.03   |   0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.03 |   0.01   |  -2.07   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.14 |   0.14   |  -0.95   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.78   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.01   |   2.53   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.03 |   0.08   |  -0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.01   |   0.93   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.01 |   0.03   |  -0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.57 |   0.10   |  -5.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.07  |   0.05   |   1.62   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.09  |   0.05   |   1.75   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.01  |   0.02   |   0.26   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.02 |   0.05   |  -0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.15 |   0.11   |  -1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.02 |   0.04   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.14  |   0.08   |   1.75   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.50 |   0.21   |  -2.38   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.36 |   0.10   |  -3.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.05 |   0.03   |  -1.72   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.25  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | 0.00  |   0.00   |   2.07   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.00 |   0.00   |  -0.18   | 0.85       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.05  |   0.00   |  18.32   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.35 |   0.01   |  -31.15  | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | 0.00  |   0.00   |   6.65   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.24 |   0.01   |  -33.74  | 0.00***    |
| triangular) . DECLANES  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.01 |   0.00   |  -14.98  | 0.00***    |
| Dev. normal) . DECLANES |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     | arcsinh | -0.00 |   0.00   |  -0.67   | 0.50       |
| Dev. normal) . URB      |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    | no      | 0.12  |   0.15   |   0.80   | 0.43       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN: hetro group 0    |         | 0.10  |   0.09   |   1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    |         | -0.48 |   0.05   |  -10.45  | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -742.8228652567232
--------------------------------------------------------------------------------
bic: 1647.56
--------------------------------------------------------------------------------
MSE: 406.20
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.53 |   0.49   |  -1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.21 |   0.11   |  -1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.58 |   0.29   |  -5.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.14 |   0.17   |  -0.79   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.02  |   0.02   |   1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.02 |   0.11   |  -0.20   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.01  |   0.06   |   0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.06  |   0.08   |   0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | 0.04  |   0.07   |   0.53   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.11  |   0.12   |   9.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.08   |  -0.11   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.24 |   0.34   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.03   |   0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.12 |   0.24   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.26  |   0.21   |   1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.04  |   0.19   |   0.22   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.08 |   0.14   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.00 |   0.00   |  -0.23   | 0.82       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.00  |   0.00   |   0.11   | 0.92       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.01 |   0.00   |  -2.56   | 0.01*      |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.00 |   0.00   |  -0.01   | 0.99       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.01  |   0.01   |   0.98   | 0.33       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | 0.36  |   0.02   |  20.92   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.00 |   0.02   |  -0.02   | 0.99       |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.00 |   0.00   |  -0.09   | 0.93       |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | 0.51  |   0.01   |  50.00   | 0.00***    |
| normal) . MXMEDSH (Std. |         |       |          |          |            |
| Dev.   tn_normal )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.20 |   0.00   |  -46.19  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MXMEDSH (Std. Dev.      |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.00 |   0.00   |  -0.04   | 0.97       |
| Dev. lm_normal) . TRAIN |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 3.61  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -728.0042809158215
--------------------------------------------------------------------------------
bic: 1599.24
--------------------------------------------------------------------------------
MSE: 20880.89
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.24 |   0.34   |  -3.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.89  |   0.08   |  11.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.53 |   0.16   |  -9.33   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.00 |   0.03   |  -0.03   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.05  |   0.05   |   1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.02  |   0.02   |   1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.01   |   0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.25 |   0.20   |  -1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.01   |   1.53   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.00 |   0.03   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.35 |   0.20   |  -1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.10  |   0.06   |   1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   3.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.91 |   0.01   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.00 |   0.00   |  -3.61   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.01 |   0.00   |  -15.53  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | -0.21 |   0.00   |  -43.75  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.02  |   0.00   |  14.68   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.00 |   0.00   |  -1.79   | 0.07.      |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.06  |   0.00   |  19.74   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| SINGLE (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . SINGLE  |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    | no      | 0.00  |   0.00   |   3.73   | 0.00***    |
| Dev. uniform) . GRADEBR |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   | arcsinh | -0.17 |   0.21   |  -0.82   | 0.41       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN: hetro group 0    | arcsinh | 0.13  |   0.08   |   1.63   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR: hetro group 0   |         | 0.14  |   0.19   |   0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   |         | 0.38  |   0.05   |   7.81   | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -760.1815782008258
--------------------------------------------------------------------------------
bic: 1673.88
--------------------------------------------------------------------------------
MSE: 5020.39
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.09 |   0.49   |  -2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.01   |   2.13   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.00  |   0.03   |   0.07   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.43  |   0.06   |   7.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.38  |   0.10   |   3.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.03 |   0.02   |  -1.63   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.49 |   0.18   |  -2.78   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.03  |   0.04   |   0.68   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.08 |   0.04   |  -2.11   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.04  |   0.05   |   0.70   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.06  |   0.02   |   3.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -3.12   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.71 |   0.05   |  -13.55  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.09  |   0.01   |  10.53   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -1.07 |   0.01   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.59 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | -0.01 |   0.00   |  -14.73  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.05 |   0.00   |  -22.76  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.00  |   0.00   |   1.81   | 0.07.      |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -36.44  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.05 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    | arcsinh | 0.00  |   0.00   |  12.03   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    | arcsinh | 0.17  |   0.12   |   1.37   | 0.17       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR: hetro group 0   | no      | 0.31  |   0.20   |   1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   | no      | -0.24 |   0.15   |  -1.59   | 0.11       |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE: hetro group 1    |         | 0.07  |   0.06   |   1.14   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    |         | 0.41  |   0.04   |   9.65   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   |         | 0.41  |   0.04   |   9.79   | 0.00***    |
| group 1:normal:sd       |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -742.1195146112258
--------------------------------------------------------------------------------
bic: 1643.65
--------------------------------------------------------------------------------
MSE: 199.81
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.26 |   0.19   |  -1.40   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.03 |   0.14   |  -0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.06 |   0.09   |  -0.67   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.11  |   0.06   |   1.90   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.04  |   0.10   |   0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.00 |   0.12   |  -0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.36 |   0.05   |  -7.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.17  |   0.06   |   2.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.06 |   0.05   |  -1.30   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.86  |   0.09   |   9.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.01  |   0.04   |   0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.62   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.03  |   0.06   |   0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.18  |   0.08   |   2.16   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.42 |   0.13   |  -3.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.23 |   0.09   |  -2.71   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.40 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.00 |   0.00   |  -2.31   | 0.02*      |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.02  |   0.00   |  32.35   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.30  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | -0.06 |   0.00   |  -18.32  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.40 |   0.00   |  -50.00  | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | -0.09 |   0.00   |  -21.24  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     | no      | 0.88  |   0.01   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| SPEED (Std. Dev.        |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   | no      | -0.34 |   0.12   |  -2.82   | 0.01*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB: hetro group 0      | no      | -0.23 |   0.08   |  -2.75   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC: hetro group 0       | arcsinh | -0.07 |   0.03   |  -2.55   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 |         | -0.60 |   0.09   |  -6.82   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: DECLANES: hetro   |         | 0.11  |   0.01   |  14.21   | 0.00***    |
| group 0:tn_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -742.0316410635561
--------------------------------------------------------------------------------
bic: 1621.40
--------------------------------------------------------------------------------
MSE: 293.71
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.94 |   0.13   |  -7.49   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.95  |   0.09   |  10.58   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.04  |   0.03   |   1.28   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.45 |   0.11   |  -3.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.04   |  -1.07   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.09  |   0.08   |   1.10   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.05  |   0.07   |   0.65   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.01   |   3.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -4.79   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.01   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.35 |   0.10   |  -3.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.06 |   0.03   |  -1.78   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.28  |   0.14   |   2.00   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.53 |   0.10   |  -5.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.23  |   0.06   |   3.79   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.38 |   0.11   |  -3.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.00 |   0.02   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -1.56 |   0.01   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.01 |   0.00   |  -6.41   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.07 |   0.00   |  -27.15  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.15 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.28  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.00  |   0.00   |  11.63   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.03 |   0.00   |  -21.39  | 0.00***    |
| Dev. normal) . INCLANES |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -741.1224414148019
--------------------------------------------------------------------------------
bic: 1660.84
--------------------------------------------------------------------------------
MSE: 596.25
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.00 |   0.33   |  -5.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.11  |   0.11   |  10.25   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -1.52 |   0.16   |  -9.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.05  |   0.07   |   0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.01  |   0.06   |   0.12   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.01  |   0.10   |   0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.07  |   0.11   |   0.65   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.02   |   0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.08 |   0.16   |  -0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.41  |   0.23   |   1.83   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.11 |   0.15   |  -0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.00  |   0.02   |   0.26   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.00 |   0.06   |  -0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.03  |   0.03   |   1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.07   |   1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.33 |   0.16   |  -2.03   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.02 |   0.18   |  -0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.31 |   0.23   |  -1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.00 |   0.01   |  -0.68   | 0.50       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.04   | 0.97       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.00 |   0.02   |  -0.20   | 0.84       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -0.33   | 0.74       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.00 |   0.01   |  -0.33   | 0.74       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.00 |   0.00   |  -0.24   | 0.81       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.00 |   0.01   |  -0.48   | 0.63       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 0.01  |   0.02   |   0.39   | 0.70       |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.78 |   0.01   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.01  |   0.01   |   1.52   | 0.13       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | -0.07 |   0.04   |  -1.65   | 0.10       |
| Dev. normal) . SINGLE   |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.06  |   0.05   |   1.43   | 0.16       |
| Dev. uniform) . SINGLE  |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 1.00  |   0.01   |  50.00   | 0.00***    |
| Dev. uniform) . DOUBLE  |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 3.63  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.8852445446939
--------------------------------------------------------------------------------
bic: 1669.37
--------------------------------------------------------------------------------
MSE: 327.85
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.10 |   0.84   |  -0.12   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.26  |   0.40   |   3.14   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.01  |   0.03   |   0.31   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.49 |   0.86   |  -0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.27 |   0.10   |  -2.71   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.02 |   0.05   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.16  |   0.09   |   1.70   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   2.69   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.02 |   0.05   |  -0.46   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.03   |   1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.18 |   0.51   |  -0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.16 |   0.21   |  -0.75   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.44  |   0.24   |   1.82   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.06  |   0.13   |   0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.48 |   0.28   |  -1.73   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.37 |   0.35   |  -3.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.22  |   0.09   |   2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.11  |   0.11   |   0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.03   |  -0.61   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.08 |   0.04   |  -2.04   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.15 |   0.01   |  -28.50  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.03  |   0.00   |  24.63   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.08  |   0.00   |  24.93   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -7.92   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.07 |   0.00   |  -14.32  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.16  |   0.00   |  37.66   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.43  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -4.76   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | 0.02  |   0.00   |   5.50   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -788.9154450625615
--------------------------------------------------------------------------------
bic: 1735.25
--------------------------------------------------------------------------------
MSE: 323.37
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.30 |   0.22   |  -1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | 0.43  |   0.16   |   2.63   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.10  |   0.03   |   3.81   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.09  |   0.03   |   2.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.04 |   0.04   |  -0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.04 |   0.42   |  -2.49   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.64 |   0.31   |  -2.08   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.35  |   0.26   |   1.36   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.61 |   0.23   |  -2.63   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.06   |  -0.65   | 0.52       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.07  |   0.05   |   1.35   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.05 |   0.10   |  -0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.59  |   0.09   |   6.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.05  |   0.04   |   1.36   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.25  |   0.05   |   4.77   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.46 |   0.22   |  -2.07   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.03 |   0.02   |  -1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.50 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.02  |   0.00   |   8.20   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.08  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) uniform  |         | 0.05  |   0.00   |  22.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.02  |   0.00   |  48.73   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.20  |   0.01   |  27.29   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.02 |   0.00   |  -7.24   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.00  |   0.00   |   2.44   | 0.02*      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.04  |   0.00   |  28.83   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.53 |   0.00   |  -50.00  | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.01 |   0.00   |  -4.74   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.00  |   0.00   |   1.12   | 0.26       |
| Dev. lm_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -778.082846746756
--------------------------------------------------------------------------------
bic: 1718.58
--------------------------------------------------------------------------------
MSE: 211.99
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.34 |   0.72   |  -0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.25 |   0.47   |  -0.53   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.08   |   0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.07   |  -0.46   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.17  |   0.07   |   2.40   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.24 |   0.12   |  -1.95   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.46  |   0.11   |   4.23   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.02  |   0.06   |   0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.03 |   0.10   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.07  |   0.21   |   0.34   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | no      | -0.01 |   0.02   |  -0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.23 |   0.40   |  -0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.45  |   0.20   |   2.32   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.03   |   0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.29 |   0.30   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.09 |   0.50   |  -0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 1.30  |   0.03   |  42.30   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.00  |   0.00   |   0.29   | 0.77       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.04  |   0.05   |   0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.01   |  -0.39   | 0.70       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.00 |   0.01   |  -0.21   | 0.84       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.36  |   0.01   |  27.36   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | -0.01 |   0.02   |  -0.66   | 0.51       |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | -0.33 |   0.01   |  -25.13  | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: ACCESS: hetro     | no      | -0.52 |   0.31   |  -1.67   | 0.10       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 | arcsinh | -0.90 |   0.38   |  -2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: ACCESS: hetro     |         | -0.30 |   0.10   |  -3.10   | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 1.94  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -725.7253251813605
--------------------------------------------------------------------------------
bic: 1632.94
--------------------------------------------------------------------------------
MSE: 1421.28
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.78 |   0.12   |  -6.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.14 |   0.09   |  -1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.03  |   0.05   |   0.70   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.01   |   2.69   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.16  |   0.07   |   2.29   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.01   |   2.36   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.05  |   0.02   |   2.62   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.10 |   0.08   |  -1.20   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.05  |   0.16   |   0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.09  |   0.03   |   3.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | -0.05 |   0.05   |  -1.03   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.07  |   0.06   |   1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.74  |   0.14   |   5.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.04  |   0.02   |   2.31   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.73 |   0.09   |  -19.17  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.42 |   0.07   |  -5.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.91   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.01   |   0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.39 |   0.07   |  -5.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -5.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.25  |   0.05   |   5.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.06 |   0.00   |  -14.71  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.03  |   0.00   |  11.26   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.00  |   0.00   |   0.90   | 0.37       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.00  |   0.00   |   3.53   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.00  |   0.00   |   4.27   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | -0.40 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.10 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.02  |   0.00   |  50.00   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.43 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) . DECLANES |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.00  |   0.01   |   0.51   | 0.61       |
| Dev. normal) . ADTLANE  |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -742.5984399452187
--------------------------------------------------------------------------------
bic: 1684.97
--------------------------------------------------------------------------------
MSE: 231.21
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.06 |   2.39   |  -0.03   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.10  |   0.28   |   3.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.17 |   0.33   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.01 |   0.09   |  -0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.06  |   0.05   |   1.30   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.33 |   2.06   |  -0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.10 |   0.33   |  -0.31   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.01  |   0.05   |   0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.09  |   0.40   |   0.22   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.07   |   0.91   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.02  |   0.06   |   0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.18 |   0.16   |  -1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.13  |   0.11   |   1.21   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.27  |   0.20   |   1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.13  |   0.40   |   0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.11 |   0.22   |  -0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.07 |   0.09   |  -0.75   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.03  |   0.06   |   0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.03   |   0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.24 |   0.54   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.04 |   0.90   |  -1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.20 |   0.24   |  -0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.02 |   0.06   |  -0.26   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.00  |   0.00   |   0.36   | 0.72       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) uniform  |         | 0.00  |   0.00   |   0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.00 |   0.00   |  -0.78   | 0.43       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.00 |   0.00   |  -0.82   | 0.41       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.00  |   0.00   |   1.19   | 0.24       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.00  |   0.00   |   0.51   | 0.61       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -0.03   | 0.98       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.26  |   0.04   |   6.27   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.00  |   0.00   |   0.22   | 0.83       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.01 |   0.00   |  -1.87   | 0.06.      |
| Dev. uniform) . URB     |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.34  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -740.7514567243484
--------------------------------------------------------------------------------
bic: 1645.31
--------------------------------------------------------------------------------
MSE: 441.23
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -5.61 |   0.20   |  -27.71  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.07  |   0.08   |  12.66   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.08  |   0.04   |   1.98   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.53 |   0.11   |  -4.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.15 |   0.09   |  -1.65   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.02 |   0.06   |  -0.35   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.35 |   0.13   |  -2.62   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.00 |   0.03   |  -0.03   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.29  |   0.09   |   3.28   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.01   |   0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.00 |   0.01   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.02  |   0.01   |   2.00   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -3.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -1.01 |   0.13   |  -7.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.17  |   0.04   |   3.84   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.16 |   0.09   |  -1.81   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.03  |   0.05   |   0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.00  |   0.00   |   8.86   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.03  |   0.00   |  17.04   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | -1.38 |   0.01   |  -50.00  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.01  |   0.00   |  26.40   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.11  |   0.00   |  26.77   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.26  |   0.01   |  42.34   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.66  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.13 |   0.01   |  -14.62  | 0.00***    |
| lm_normal) . INCLANES   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.08  |   0.01   |  12.13   | 0.00***    |
| lm_normal) . MIMEDSH    |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.02 |   0.00   |  -4.84   | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.05 |   0.00   |  -13.66  | 0.00***    |
| Dev. uniform) . MIMEDSH |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.04  |   0.00   |  11.70   | 0.00***    |
| Dev. uniform) . URB     |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -747.345475483992
--------------------------------------------------------------------------------
bic: 1653.71
--------------------------------------------------------------------------------
MSE: 335.57
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.47 |   0.39   |  -1.22   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.18 |   0.15   |  -1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.24 |   0.15   |  -1.62   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.27 |   0.26   |  -1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.08   |  -0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.05  |   0.12   |   0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.26 |   0.18   |  -7.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.10   |   1.89   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.03   |   0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.96  |   0.16   |   6.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.06  |   0.03   |   1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.08 |   0.06   |  -1.20   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.01  |   0.07   |   0.16   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.11  |   0.12   |   0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.11  |   0.10   |   1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | -0.00 |   0.19   |  -0.02   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.04 |   0.29   |  -0.14   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.00 |   0.00   |  -0.02   | 0.99       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.24   | 0.81       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | -0.00 |   0.00   |  -0.12   | 0.91       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.00 |   0.00   |  -0.23   | 0.82       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.00  |   0.00   |   0.43   | 0.66       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.00  |   0.01   |   0.07   | 0.94       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.00 |   0.01   |  -0.07   | 0.94       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | -0.01 |   0.01   |  -1.01   | 0.32       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.00  |   0.00   |   0.75   | 0.46       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.13  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -741.7376956866676
--------------------------------------------------------------------------------
bic: 1651.28
--------------------------------------------------------------------------------
MSE: 1664.51
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.17 |   1.64   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.35 |   0.30   |  -1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.55 |   0.26   |  -2.14   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.47 |   0.60   |  -0.78   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.07   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.09 |   0.21   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.01  |   0.27   |   0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.04   |   0.34   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.10  |   0.10   |   1.07   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.03   |   0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.03 |   0.04   |  -0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.13 |   0.25   |  -4.44   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -2.11   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.05   |   1.50   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.04  |   0.03   |   1.61   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.95  |   0.10   |   9.78   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.11  |   0.13   |   0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.32 |   0.15   |  -2.20   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | -0.00 |   0.25   |  -0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.12  |   0.06   |   2.00   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.14  |   0.02   |   6.58   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.01  |   0.01   |   0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.03  |   0.00   |  17.44   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.04  |   0.00   |  27.78   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | -0.85 |   0.01   |  -50.00  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.02 |   0.00   |  -9.84   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.41  |   0.01   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | 0.11  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.00  |   0.00   |   5.10   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.01 |   0.00   |  -29.65  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MXMEDSH (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.4644303562881
--------------------------------------------------------------------------------
bic: 1680.42
--------------------------------------------------------------------------------
MSE: 294.81
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.13 |   0.51   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.45 |   0.40   |  -1.14   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.13 |   0.18   |  -0.70   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.15 |   0.19   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | -0.21 |   0.30   |  -0.70   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.00  |   0.09   |   0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.08   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.02 |   0.03   |  -0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.17 |   0.49   |  -2.39   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.14  |   0.08   |   1.82   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.03  |   0.04   |   0.80   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.05 |   0.08   |  -0.56   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.32  |   0.18   |   7.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.07   |  -0.85   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.08 |   0.25   |  -0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -1.30   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.26  |   0.09   |   2.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.01 |   0.01   |  -0.64   | 0.52       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.00  |   0.00   |   0.33   | 0.74       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.00 |   0.01   |  -0.46   | 0.64       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.01 |   0.00   |  -3.24   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.00 |   0.00   |  -0.14   | 0.89       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.05  |   0.04   |   1.14   | 0.26       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.00  |   0.00   |   1.46   | 0.14       |
| Dev. normal) . MXGRADE  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.10 |   0.01   |  -6.75   | 0.00***    |
| Dev. uniform) . MXGRADE |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.04  |   0.02   |   2.40   | 0.02*      |
| Dev. uniform) . ADTLANE |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   | no      | 0.04  |   0.16   |   0.27   | 0.79       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED: hetro group 0    | log     | -0.34 |   0.52   |  -0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE: hetro group 0   | log     | -0.12 |   0.34   |  -0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   |         | 0.00  |   0.09   |   0.05   | 0.96       |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.19  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -751.0898008703564
--------------------------------------------------------------------------------
bic: 1680.28
--------------------------------------------------------------------------------
MSE: 342.96
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.66 |   0.20   |  -3.33   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.95  |   0.10   |   9.17   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.31 |   0.13   |  -2.39   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.04  |   0.08   |   0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.28 |   0.21   |  -1.34   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.01  |   0.05   |   0.13   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.57 |   0.10   |  -16.46  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.03 |   0.06   |  -0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.05 |   0.07   |  -0.75   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.22 |   0.11   |  -2.02   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.07 |   0.06   |  -1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.14 |   0.17   |  -0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.01  |   0.10   |   0.12   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.03  |   0.05   |   0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.04  |   0.04   |   1.10   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.17   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.17  |   0.08   |   2.08   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.18 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | 0.12  |   0.01   |  11.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.00  |   0.00   |   0.72   | 0.47       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.02 |   0.01   |  -3.55   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.03 |   0.01   |  -3.21   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.00  |   0.01   |   0.30   | 0.76       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.00  |   0.00   |   1.42   | 0.16       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.00 |   0.00   |  -0.72   | 0.47       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.06  |   0.01   |  10.58   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: DOUBLE: hetro     | arcsinh | 0.09  |   0.19   |   0.46   | 0.65       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN: hetro group 0    | no      | 0.01  |   0.08   |   0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES: hetro group 0   | no      | -0.01 |   0.03   |  -0.49   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE: hetro group 0   | arcsinh | 0.09  |   0.06   |   1.38   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| main: DOUBLE: hetro     |         | 0.07  |   0.02   |   3.75   | 0.00***    |
| group 0:tn_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.86  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -726.1691807862236
--------------------------------------------------------------------------------
bic: 1628.43
--------------------------------------------------------------------------------
MSE: 311.49
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.39 |   0.79   |  -0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.17  |   0.14   |   8.60   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.78 |   0.32   |  -2.41   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.09 |   0.17   |  -0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.25  |   0.20   |   1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.23  |   0.07   |   3.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.02  |   0.05   |   0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.05   |   3.85   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.03  |   0.02   |   1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.01   |   0.38   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.08 |   0.13   |  -0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.07 |   0.37   |  -2.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.21 |   0.10   |  -2.14   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.00  |   0.04   |   0.00   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.46 |   0.25   |  -1.88   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.01 |   0.01   |  -1.36   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.02   |   2.51   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.04  |   0.09   |   0.42   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -3.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.10 |   0.00   |  -39.10  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.01  |   0.00   |   5.47   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | -0.06 |   0.01   |  -9.68   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | 0.03  |   0.00   |  35.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.06  |   0.00   |  31.82   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.01  |   0.00   |  20.01   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.02  |   0.01   |   3.18   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.51  |   0.01   |  50.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.00  |   0.00   |  21.95   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    | arcsinh | -0.03 |   0.00   |  -50.00  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| CURVES (Std. Dev.       |         |       |          |          |            |
| triangular )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MINRAD: hetro     | no      | 0.01  |   0.02   |   0.47   | 0.64       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 |         | 0.05  |   0.04   |   1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| main: MINRAD: hetro     |         | 0.02  |   0.01   |   1.70   | 0.09.      |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -741.2826670691694
--------------------------------------------------------------------------------
bic: 1646.87
--------------------------------------------------------------------------------
MSE: 237.05
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.12 |   0.23   |  -9.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.07  |   0.14   |   0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.20 |   0.10   |  -1.92   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.02   |   3.53   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.03   |  -1.33   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.06 |   0.17   |  -0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.95   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.01   |   4.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.06 |   0.08   |  -0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.34 |   0.18   |  -1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.74 |   0.05   |  -16.34  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -2.72   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.31  |   0.07   |   4.69   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.03 |   0.02   |  -1.76   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.62 |   0.13   |  -4.71   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.15  |   0.07   |   2.22   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.11 |   0.08   |  -1.45   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.14  |   0.05   |   2.50   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.20  |   0.10   |  11.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -1.43 |   0.02   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.27 |   0.01   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.04  |   0.00   |  14.66   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.02 |   0.00   |  -23.87  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.16  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     | no      | -0.05 |   0.00   |  -25.92  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  | no      | -0.29 |   0.18   |  -1.64   | 0.10       |
| 0                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 | log     | -0.00 |   0.03   |  -0.02   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE: hetro group 0   |         | 0.34  |   0.14   |   2.46   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  |         | 0.23  |   0.09   |   2.54   | 0.01*      |
| 0:uniform:sd  hetro     |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -750.0659480773795
--------------------------------------------------------------------------------
bic: 1675.23
--------------------------------------------------------------------------------
MSE: 343.85
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.24 |   1.35   |  -0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.99  |   0.15   |   6.52   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.36 |   0.12   |  -2.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.07 |   0.13   |  -0.55   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.51  |   0.11   |   4.55   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   2.58   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.01 |   0.18   |  -0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.00  |   0.03   |   0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.41 |   0.17   |  -2.46   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.25  |   0.07   |   3.67   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.02   |   0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.04   |  -1.40   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | 0.03  |   0.02   |   1.63   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.04  |   0.02   |   1.65   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.01 |   0.01   |  -0.46   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -3.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.15  |   0.07   |   2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.37 |   0.13   |  -2.95   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.37 |   0.31   |  -4.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.06   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.03  |   0.00   |  18.29   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.01 |   0.00   |  -11.67  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.02 |   0.00   |  -23.49  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.03 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.05  |   0.00   |  13.56   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.52  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.07 |   0.00   |  -39.76  | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.09 |   0.00   |  -24.32  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.19 |   0.00   |  -50.00  | 0.00***    |
| uniform) . INCLANES     |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | -0.21 |   0.00   |  -48.34  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| INCLANES (Std. Dev.     |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.24  |   0.01   |  26.09   | 0.00***    |
| Dev. tn_normal) . SPEED |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -737.2468573358395
--------------------------------------------------------------------------------
bic: 1632.91
--------------------------------------------------------------------------------
MSE: 283.47
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.60 |   0.15   |  -3.96   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.27 |   0.14   |  -1.93   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.02 |   0.04   |  -0.56   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.03 |   0.04   |  -0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.08  |   0.04   |   2.18   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.27  |   0.11   |   2.54   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.01   |   3.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   1.21   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.09 |   0.11   |  -9.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.16  |   0.06   |   2.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.02   |   0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.69 |   0.12   |  -5.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.03  |   0.02   |   1.22   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.01  |   0.07   |  14.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.09 |   0.16   |  -0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.05  |   0.02   |   1.97   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.45 |   0.15   |  -2.97   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.02  |   0.00   |  19.80   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.00  |   0.00   |   2.27   | 0.02*      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.42 |   0.00   |  -50.00  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.41  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | 0.03  |   0.00   |  17.06   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.09  |   0.00   |  30.18   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.21  |   0.00   |  46.59   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | 0.02  |   0.00   |  13.61   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| LENGTH (Std. Dev.       |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | 0.32  |   0.01   |  50.00   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.08 |   0.00   |  -43.66  | 0.00***    |
| Dev. uniform) . LENGTH  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.28 |   0.01   |  -39.93  | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.06  |   0.00   |  17.16   | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| MXGRDIFF (Std. Dev.     |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -737.6507076436518
--------------------------------------------------------------------------------
bic: 1626.43
--------------------------------------------------------------------------------
MSE: 296.26
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.37 |   0.40   |  -0.92   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.24  |   0.16   |   7.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.29 |   0.19   |  -1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.50  |   0.20   |   2.50   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.02 |   0.19   |  -0.08   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.19 |   0.18   |  -1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.38  |   0.20   |   1.92   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   1.69   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.04 |   0.11   |  -0.39   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.53 |   0.22   |  -6.86   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.16  |   0.08   |   1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.26  |   0.12   |   2.29   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.03  |   0.03   |   0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.01 |   0.08   |  -0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.03   |   1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.47 |   0.24   |  -1.97   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.06   |  -0.80   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.24 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.00 |   0.00   |  -0.14   | 0.89       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.00  |   0.01   |   0.10   | 0.92       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | -0.00 |   0.00   |  -0.37   | 0.71       |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      | sqrt    | -0.18 |   0.12   |  -1.45   | 0.15       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB: hetro group 0      | no      | -0.28 |   0.13   |  -2.09   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 0  | no      | -0.02 |   0.06   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 | no      | -0.05 |   0.05   |  -0.85   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| main: WIDTH: hetro      |         | 0.08  |   0.02   |   3.62   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.90  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -744.1072972133742
--------------------------------------------------------------------------------
bic: 1631.95
--------------------------------------------------------------------------------
MSE: 286.71
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.64 |   0.49   |  -1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.03  |   0.11   |   9.22   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.21 |   0.20   |  -1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.14 |   0.10   |  -1.41   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.10  |   0.02   |   4.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.62 |   0.19   |  -8.65   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.07 |   0.03   |  -2.24   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.00 |   0.01   |  -0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.06  |   0.01   |   4.25   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.00  |   0.02   |   0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.02 |   0.01   |  -2.62   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.14  |   0.04   |   3.16   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.54 |   0.22   |  -2.41   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | 0.19  |   0.23   |   0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.39  |   0.20   |   1.89   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.63 |   0.10   |  -6.37   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.07  |   0.08   |   0.91   | 0.36       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.27  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.08  |   0.01   |  14.35   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.00 |   0.00   |  -0.21   | 0.84       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 1.14  |   0.01   |  50.00   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | 0.14  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   | arcsinh | 0.01  |   0.00   |   1.72   | 0.09.      |
| Dev. lm_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | no      | 0.14  |   0.17   |   0.84   | 0.40       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW: hetro group 0  |         | 0.00  |   0.02   |   0.02   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | -0.05 |   0.02   |  -2.57   | 0.01*      |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -729.4983856449779
--------------------------------------------------------------------------------
bic: 1633.59
--------------------------------------------------------------------------------
MSE: 259.67
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.78 |   0.34   |  -2.33   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.06 |   0.13   |  -0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.20 |   0.08   |  -2.46   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.11  |   0.11   |   0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.04   |  -0.18   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.37 |   0.18   |  -2.09   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.09  |   0.05   |   2.04   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.23  |   0.06   |   3.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.11  |   0.07   |   1.53   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.74 |   0.17   |  -4.33   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.05  |   0.02   |   2.42   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.07 |   0.04   |  -1.94   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.03 |   0.04   |  -0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.11  |   0.02   |   4.83   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.03  |   0.08   |   0.35   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.01   |   1.56   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.04  |   0.04   |   1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.76 |   0.11   |  -16.70  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | no      | 0.00  |   0.00   |   0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -1.41 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.02  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | 0.01  |   0.00   |   9.79   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.02  |   0.00   |   7.94   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.03  |   0.00   |  15.11   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.06 |   0.01   |  -11.88  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.03  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.01 |   0.00   |  -7.79   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.02  |   0.00   |  22.63   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. | log     | -0.00 |   0.00   |  -4.99   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     | arcsinh | 1.10  |   0.21   |   5.34   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN: hetro group 0    |         | 0.24  |   0.14   |   1.77   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     |         | 0.34  |   0.02   |  13.81   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -721.4946182411279
--------------------------------------------------------------------------------
bic: 1607.80
--------------------------------------------------------------------------------
MSE: 258.73
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.64 |   0.64   |  -1.01   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.35 |   0.20   |  -1.76   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.05 |   0.16   |  -0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.04   |  -1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.01  |   0.11   |   0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | 0.02  |   0.05   |   0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.05  |   0.02   |   2.80   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.01 |   0.01   |  -0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.03   |   2.72   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.14  |   0.07   |   1.89   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.20 |   0.17   |  -1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.10 |   0.16   |  -6.67   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -3.39   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.08  |   0.05   |   1.66   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.21  |   0.07   |   3.16   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.72 |   0.11   |  -6.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.16  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.00 |   0.00   |  -1.95   | 0.05.      |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.03  |   0.00   |  17.10   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.02  |   0.00   |  10.71   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.02 |   0.00   |  -13.62  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.02  |   0.00   |  19.52   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.01 |   0.00   |  -3.26   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.05  |   0.00   |  28.88   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. | arcsinh | 0.02  |   0.00   |  21.19   | 0.00***    |
| tn_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     | no      | 0.96  |   0.09   |  10.66   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH: hetro group 0  | arcsinh | 0.08  |   0.03   |   2.33   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE: hetro group 0   |         | 0.11  |   0.07   |   1.60   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| main: LENGTH: hetro     |         | -0.03 |   0.01   |  -2.70   | 0.01*      |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.1033027643294
--------------------------------------------------------------------------------
bic: 1666.41
--------------------------------------------------------------------------------
MSE: 301.41
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.55 |   0.44   |  -1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.09  |   0.19   |   0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.22 |   0.17   |  -1.28   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.06   |  -0.97   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.07 |   0.22   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.05   |  -0.12   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.25 |   0.29   |  -0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.20  |   0.08   |   2.35   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.16   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.83  |   0.13   |   6.37   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.09 |   0.07   |  -1.35   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.58  |   0.32   |   1.82   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.12  |   0.10   |   1.17   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.42 |   0.24   |  -5.89   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.13 |   0.23   |  -0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.87 |   0.44   |  -1.97   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.03   |   0.97   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.00 |   0.00   |  -0.06   | 0.95       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   0.13   | 0.90       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.00 |   0.01   |  -0.45   | 0.66       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -0.25   | 0.81       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.00  |   0.00   |   0.32   | 0.75       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.00  |   0.00   |   0.28   | 0.78       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.32  |   0.02   |  16.64   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.00  |   0.01   |   0.48   | 0.63       |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.00  |   0.00   |   0.05   | 0.96       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.14 |   0.01   |  -11.72  | 0.00***    |
| normal) . DECLANES      |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.01 |   0.00   |  -3.40   | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.00 |   0.00   |  -0.46   | 0.65       |
| Dev. uniform) . WIDTH   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.23  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -759.677988485825
--------------------------------------------------------------------------------
bic: 1701.35
--------------------------------------------------------------------------------
MSE: 246.30
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.10 |   0.87   |  -0.12   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.29 |   0.27   |  -1.05   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.37 |   0.52   |  -0.70   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.18 |   0.11   |  -1.66   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | 0.04  |   0.33   |   0.12   | 0.91       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.65  |   0.27   |   2.44   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.45  |   0.35   |   1.28   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.01  |   0.05   |   0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.29  |   0.07   |   4.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.59 |   0.23   |  -2.52   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.89 |   0.39   |  -2.28   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.51  |   0.08   |   6.48   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.15  |   0.12   |   1.27   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.18 |   0.28   |  -0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.54  |   0.15   |   3.59   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.07 |   0.04   |  -1.76   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.04   |   1.68   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.18  |   0.12   |   1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.45  |   0.08   |   5.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.35 |   0.13   |  -2.66   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.48 |   0.30   |  -1.59   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.01  |   0.04   |   0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.17  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.03 |   0.00   |  -10.18  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.01  |   0.00   |   4.43   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.07  |   0.01   |  12.40   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | 0.10  |   0.01   |  11.69   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.03  |   0.00   |  11.52   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.42 |   0.00   |  -50.00  | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.15  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.43  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . WIDTH   |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -762.0834093544063
--------------------------------------------------------------------------------
bic: 1699.76
--------------------------------------------------------------------------------
MSE: 4769.89
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.63 |   0.28   |  -2.28   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.12 |   0.24   |  -0.50   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.01  |   0.03   |   0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.45  |   0.06   |   8.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.34  |   0.08   |   4.57   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.01  |   0.06   |   0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.31  |   0.05   |   5.67   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.01   |  -0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.25  |   0.15   |   1.62   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.31 |   0.13   |  -2.29   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | 0.09  |   0.22   |   0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.01  |   0.02   |   0.41   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.02 |   0.02   |  -0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.49 |   0.07   |  -6.67   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.45 |   0.35   |  -1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.09  |   0.05   |   1.58   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.06  |   0.03   |   1.82   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.08 |   0.01   |  -10.77  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) uniform |         | 0.32  |   0.01   |  38.39   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.16 |   0.00   |  -39.68  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -11.70  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.03  |   0.00   |  24.48   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.47  |   0.01   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | 0.04  |   0.00   |  18.88   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.17 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) . DECLANES |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.06 |   0.00   |  -28.35  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    | sqrt    | -0.07 |   0.00   |  -24.22  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SPEED: hetro      | no      | -0.51 |   0.13   |  -4.03   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 |         | -0.00 |   0.04   |  -0.02   | 0.98       |
+-------------------------+---------+-------+----------+----------+------------+
| main: SPEED: hetro      |         | 0.02  |   0.02   |   1.28   | 0.20       |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.8342097602665
--------------------------------------------------------------------------------
bic: 1631.01
--------------------------------------------------------------------------------
MSE: 255.56
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.20 |   0.76   |  -0.26   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.38 |   0.21   |  -1.82   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.46  |   0.11   |   4.07   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.05   |  -0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | 0.06  |   0.20   |   0.31   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.04 |   0.15   |  -0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.03 |   0.02   |  -1.56   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.99 |   0.26   |  -3.76   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.33 |   0.10   |  -3.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.18  |   0.06   |   2.83   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.98  |   0.09   |  10.40   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.17 |   0.14   |  -1.25   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.12 |   0.09   |  -1.40   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.15 |   0.11   |  -1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.30 |   0.15   |  -2.08   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.13  |   0.07   |   1.87   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.20  |   0.06   |   3.15   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.02  |   0.00   |  10.60   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.21 |   0.00   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.06  |   0.00   |  36.06   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.00 |   0.00   |  -4.57   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.32  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRDIFF (Std.   |         | 0.07  |   0.01   |  12.27   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.01 |   0.00   |  -4.68   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.25  |   0.01   |  44.70   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| MXGRDIFF (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -779.983705552605
--------------------------------------------------------------------------------
bic: 1708.10
--------------------------------------------------------------------------------
MSE: 300.11
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.14 |   0.88   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.14 |   0.11   |  -1.24   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.06 |   0.30   |  -3.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.04  |   0.02   |   1.96   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.12  |   0.02   |   4.72   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.50  |   0.05   |  10.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.61  |   0.16   |   3.73   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.00  |   0.05   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.18 |   0.10   |  -1.92   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.93   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.25 |   0.15   |  -1.68   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.02 |   0.00   |  -7.60   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.07  |   0.04   |   2.03   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.07 |   0.01   |  -9.92   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) uniform  |         | 0.12  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.01  |   0.00   |   5.08   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.04  |   0.00   |  29.81   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.06  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | -0.02 |   0.00   |  -18.95  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     | no      | 0.15  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| ADTLANE (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   | no      | -0.71 |   0.13   |  -5.52   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 | no      | 0.07  |   0.04   |   1.68   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  | no      | -0.13 |   0.11   |  -1.14   | 0.26       |
| 1                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE: hetro group 1    |         | -0.00 |   0.07   |  -0.04   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   |         | -0.05 |   0.04   |  -1.02   | 0.31       |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  |         | -0.22 |   0.11   |  -2.10   | 0.04*      |
| 1:uniform:sd  hetro     |         |       |          |          |            |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -719.0513027674722
--------------------------------------------------------------------------------
bic: 1618.09
--------------------------------------------------------------------------------
MSE: 896.31
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.74 |   0.56   |  -1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.97  |   0.08   |  11.68   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.26 |   0.15   |  -1.73   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.59  |   0.20   |   2.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | 0.16  |   0.17   |   0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.25  |   0.18   |   1.44   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.03   |   2.42   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.15 |   0.41   |  -2.83   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.23  |   0.06   |   3.71   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.09 |   0.03   |  -2.66   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.47 |   0.16   |  -2.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.27 |   0.17   |  -1.56   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.02  |   0.06   |   0.35   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | no      | -0.08 |   0.03   |  -2.76   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.30  |   0.25   |   1.21   | 0.23       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.05  |   0.02   |   2.05   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.09 |   0.20   |  -0.46   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.06  |   0.07   |   0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.08 |   0.08   |  -1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.01 |   0.00   |  -25.30  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.00  |   0.00   |   6.20   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.)         |         | 0.77  |   0.02   |  44.27   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.02  |   0.00   |  14.40   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.00 |   0.00   |  -6.85   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.01  |   0.00   |   5.31   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.01  |   0.00   |  14.95   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.01  |   0.00   |   7.46   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.05  |   0.01   |   4.83   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.14  |   0.01   |  21.01   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.01 |   0.01   |  -1.07   | 0.29       |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -744.7397480932848
--------------------------------------------------------------------------------
bic: 1621.43
--------------------------------------------------------------------------------
MSE: 551.28
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.54 |   0.13   |  -4.33   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.34  |   0.10   |  13.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.39 |   0.09   |  -14.89  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.04   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.04   |  -0.57   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.01  |   0.02   |   0.78   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.01  |   0.08   |   0.11   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.11 |   0.05   |  -2.23   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.02  |   0.01   |   1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.67 |   0.10   |  -6.44   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.08 |   0.13   |  -0.62   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.02   |   1.15   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.31   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.03  |   0.19   |   0.17   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.12  |   0.02   |   5.71   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.37 |   0.08   |  -4.41   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.09  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.06  |   0.00   |  29.92   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.09  |   0.01   |  15.02   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.01  |   0.00   |   5.79   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.16  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | 0.04  |   0.00   |  33.13   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | -0.02 |   0.01   |  -2.76   | 0.01*      |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.62  |   0.01   |  50.00   | 0.00***    |
| uniform) . MXMEDSH      |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -764.1268489791762
--------------------------------------------------------------------------------
bic: 1697.96
--------------------------------------------------------------------------------
MSE: 344.89
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.73 |   0.85   |  -0.86   | 0.39       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.05 |   0.19   |  -0.27   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.03 |   0.03   |  -1.10   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.47  |   0.14   |   3.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.18 |   0.10   |  -1.83   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.08 |   0.04   |  -2.02   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | arcsinh | 0.18  |   0.11   |   1.61   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.04  |   0.02   |   1.93   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.07  |   0.01   |   6.25   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   3.16   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.12  |   0.08   |   1.54   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.24  |   0.08   |   3.04   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -3.16   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.07 |   0.23   |  -0.32   | 0.75       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.16  |   0.07   |   2.26   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.00  |   0.02   |   0.00   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.62 |   0.17   |  -3.60   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.87 |   0.24   |  -7.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.14  |   0.06   |   2.45   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.50  |   0.06   |   8.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.02 |   0.02   |  -1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.26 |   0.18   |  -1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.09  |   0.00   |  42.61   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.06  |   0.00   |  33.58   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.03  |   0.00   |  44.98   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.05  |   0.00   |   9.94   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | 0.25  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | -0.16 |   0.00   |  -39.17  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -9.45   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INCLANES (Std.   |         | 0.26  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -737.0065911056973
--------------------------------------------------------------------------------
bic: 1668.29
--------------------------------------------------------------------------------
MSE: 4946.70
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.41 |   0.74   |  -0.56   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.63 |   0.19   |  -3.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.03 |   0.12   |  -0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.13  |   0.08   |   1.53   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.02  |   0.03   |   0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.06 |   0.17   |  -0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.07  |   0.11   |   0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.07  |   0.03   |   2.58   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | -0.04 |   0.03   |  -1.22   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.28 |   0.18   |  -1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.04  |   0.05   |   0.78   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.16  |   0.09   |   1.84   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 1.05  |   0.10   |  10.76   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.07  |   0.02   |   3.13   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.04 |   0.04   |  -0.98   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.17  |   0.10   |   1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.13 |   0.08   |  -1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.02   |   1.65   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.04  |   0.05   |   0.79   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.35 |   0.46   |  -2.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.01  |   0.02   |   0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.23 |   0.13   |  -1.71   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.00 |   0.00   |  -1.41   | 0.16       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | 0.00  |   0.00   |   7.85   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.01 |   0.00   |  -7.28   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.19 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.03  |   0.00   |   7.02   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.05  |   0.00   |  29.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.01  |   0.00   |   9.89   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | -0.00 |   0.00   |  -0.87   | 0.39       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -6.48   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: PEAKHR (Std.     |         | -0.10 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.19  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . PEAKHR  |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -765.6180241550358
--------------------------------------------------------------------------------
bic: 1696.54
--------------------------------------------------------------------------------
MSE: 256.11
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.58 |   0.58   |  -1.01   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.13 |   0.14   |  -0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.04   |  -1.37   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | -0.01 |   0.19   |  -0.07   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.08  |   0.14   |   0.55   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.06  |   0.09   |   0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.51   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.72 |   0.32   |  -5.46   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -2.54   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.97  |   0.12   |   7.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.23 |   0.10   |  -2.37   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.08 |   0.12   |  -0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.13 |   0.24   |  -0.53   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.17  |   0.20   |   0.83   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.09  |   0.03   |   3.54   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.08  |   0.14   |   0.56   | 0.58       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.04   |   0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.04 |   0.06   |  -0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.18   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.07  |   0.00   |  44.08   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.09 |   0.00   |  -24.20  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.08  |   0.00   |  41.88   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.02 |   0.00   |  -6.58   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.19  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.06 |   0.00   |  -28.38  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.21  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 0.01  |   0.00   |   7.50   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.01  |   0.00   |   4.22   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | 0.01  |   0.00   |   5.33   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| SINGLE (Std. Dev.       |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -750.3086438388592
--------------------------------------------------------------------------------
bic: 1655.14
--------------------------------------------------------------------------------
MSE: 3793.31
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.32 |   0.95   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.60 |   0.41   |  -1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.29 |   0.09   |  -3.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.06  |   0.03   |   2.05   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.14 |   0.18   |  -0.80   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.06 |   0.12   |  -0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.08 |   0.05   |  -1.54   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.09 |   0.08   |  -1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.26   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.15  |   0.11   |  10.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.11 |   0.14   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.00 |   0.05   |  -0.08   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.35 |   0.11   |  -3.25   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.15  |   0.06   |   2.53   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.06  |   0.04   |   1.35   | 0.18       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -2.82   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.18  |   0.07   |   2.46   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.15 |   0.01   |  -28.39  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.15 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.21  |   0.01   |  19.60   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.05 |   0.01   |  -5.40   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.20  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | 0.00  |   0.00   |   6.53   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.05 |   0.00   |  -31.77  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.02 |   0.00   |  -50.00  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| MEDWIDTH (Std. Dev.     |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.01  |   0.00   |   3.21   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| MEDWIDTH (Std. Dev.     |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.37 |   0.00   |  -50.00  | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| FRICTION (Std. Dev.     |         |       |          |          |            |
| tn_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -735.8647138864509
--------------------------------------------------------------------------------
bic: 1645.43
--------------------------------------------------------------------------------
MSE: 5121.44
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.12 |   0.34   |  -0.35   | 0.73       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.97  |   0.13   |   7.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.04  |   0.03   |   1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.38  |   0.14   |   2.75   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.85 |   0.34   |  -2.46   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.30 |   0.11   |  -2.63   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.04   |  -0.38   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.02  |   0.02   |   0.65   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.01  |   0.04   |   0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.00  |   0.02   |   0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.25 |   0.24   |  -1.05   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.10  |   0.07   |   1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.16  |   0.14   |   1.11   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.17  |   0.12   |   1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.07   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.18  |   0.25   |   0.72   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | -0.04 |   0.07   |  -0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.08 |   0.04   |  -2.26   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.04  |   0.02   |   1.85   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.86 |   0.35   |  -2.48   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -1.70 |   0.01   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.04  |   0.00   |  15.10   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | -0.01 |   0.00   |  -4.46   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.01  |   0.00   |   6.35   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   |         | -0.00 |   0.00   |  -3.99   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FRICTION (Std.   | no      | -0.14 |   0.00   |  -34.36  | 0.00***    |
| Dev. normal) . MINRAD   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   | no      | -0.53 |   0.12   |  -4.25   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC: hetro group 0       | log     | -0.04 |   0.04   |  -1.09   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE: hetro group 0   | log     | 0.13  |   0.15   |   0.89   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  |         | -0.15 |   0.09   |  -1.68   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| main: INCLANES: hetro   |         | 0.16  |   0.01   |  15.09   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -756.1717824969274
--------------------------------------------------------------------------------
bic: 1666.37
--------------------------------------------------------------------------------
MSE: 23931.89
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.63 |   0.18   |  -3.51   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 1.02  |   0.06   |  16.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.71 |   0.20   |  -3.65   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | 0.04  |   0.10   |   0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.04   |  -0.41   | 0.68       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.26 |   0.08   |  -3.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.07  |   0.02   |   3.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | -0.04 |   0.03   |  -1.29   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.00  |   0.12   |   0.02   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.06 |   0.03   |  -1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -0.61 |   0.23   |  -2.62   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.03   |  -0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | 0.00  |   0.05   |   0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   2.18   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.38 |   0.08   |  -4.45   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | 0.00  |   0.04   |   0.02   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.13  |   0.05   |   2.42   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | -0.85 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.01  |   0.00   |  25.21   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.09  |   0.01   |  16.59   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.03  |   0.00   |   9.02   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.10 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.00  |   0.01   |   0.74   | 0.46       |
| Dev. lm_normal) . URB   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.06 |   0.00   |  -32.08  | 0.00***    |
| Dev. normal) . URB      |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   | arcsinh | 0.09  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . MIGRADE  |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SPEED: hetro      | no      | -0.67 |   0.23   |  -2.97   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR: hetro group 0   |         | 0.04  |   0.03   |   1.50   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| main: SPEED: hetro      |         | 0.17  |   0.01   |  14.66   | 0.00***    |
| group 0:normal:sd       |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -753.8835952669233
--------------------------------------------------------------------------------
bic: 1673.58
--------------------------------------------------------------------------------
MSE: 352.91
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.36 |   1.83   |  -0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.04  |   0.14   |   7.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | 0.20  |   0.29   |   0.69   | 0.49       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.19 |   0.41   |  -0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.08 |   0.06   |  -1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.39  |   0.28   |   1.40   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   0.67   | 0.50       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.03   |   1.82   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.02  |   0.04   |   0.45   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.26 |   0.35   |  -3.63   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.14  |   0.07   |   1.93   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.18  |   0.06   |   3.21   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.03 |   0.07   |  -0.52   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.96 |   0.30   |  -3.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.12 |   0.05   |  -2.30   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | -0.08 |   0.18   |  -0.44   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.03  |   0.04   |   0.82   | 0.41       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.01  |   0.04   |   0.30   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.02  |   0.04   |   0.62   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.14  |   0.11   |   1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.02  |   0.20   |   0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.12  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) normal   |         | 0.02  |   0.00   |   8.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE (Std. Dev.)      |         | 0.17  |   0.01   |  22.59   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.01 |   0.00   |  -6.21   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.05  |   0.00   |  45.09   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.12  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.02 |   0.01   |  -3.71   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.10  |   0.01   |  18.57   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.01 |   0.00   |  -2.74   | 0.01*      |
| Dev. uniform) . TRAIN   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -725.4028850326213
--------------------------------------------------------------------------------
bic: 1636.19
--------------------------------------------------------------------------------
MSE: 234.31
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.29 |   0.35   |  -0.83   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.96  |   0.10   |   9.50   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.45 |   0.16   |  -2.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.06 |   0.08   |  -0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.56  |   0.12   |   4.59   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -0.57 |   0.18   |  -3.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.20 |   0.10   |  -1.92   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.04   |  -0.16   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | 0.01  |   0.17   |   0.07   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.38  |   0.21   |   1.86   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.08  |   0.02   |   3.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.17  |   0.08   |   2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.31 |   0.18   |  -7.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.16  |   0.06   |   2.56   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.20  |   0.05   |   3.62   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | -0.03 |   0.07   |  -0.45   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.40 |   0.15   |  -2.63   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.16 |   0.08   |  -1.88   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | no      | 0.05  |   0.03   |   1.64   | 0.10       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.02   |  -0.17   | 0.86       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.12 |   0.03   |  -4.05   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.01  |   0.02   |   0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.02  |   0.04   |   0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.02  |   0.00   |   4.63   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.01 |   0.00   |  -3.39   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.04  |   0.00   |  32.77   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.05  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -2.20   | 0.03*      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | 0.28  |   0.00   |  50.00   | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.00  |   0.00   |   1.83   | 0.07.      |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.04 |   0.00   |  -47.42  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | -0.03 |   0.00   |  -27.94  | 0.00***    |
| Dev. uniform) . MIMEDSH |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | -0.21 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| MIMEDSH (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.02  |   0.00   |   8.06   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| CURVES (Std. Dev.       |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -768.1163885306814
--------------------------------------------------------------------------------
bic: 1686.36
--------------------------------------------------------------------------------
MSE: 559.51
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.49 |   0.36   |  -1.36   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.61 |   0.12   |  -5.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.03  |   0.03   |   0.84   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.16 |   0.28   |  -4.17   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.33  |   0.21   |   1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.43   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.03   |   1.18   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.39 |   0.30   |  -1.29   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.05  |   0.04   |   1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.35 |   0.08   |  -4.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.45  |   0.11   |   4.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.10  |   0.03   |   3.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.06   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.00 |   0.19   |  -0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.52  |   0.06   |   9.29   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | arcsinh | 0.05  |   0.22   |   0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.07  |   0.09   |   0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -0.09 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.14  |   0.00   |  43.76   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | -0.02 |   0.00   |  -6.03   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | 0.00  |   0.00   |   1.44   | 0.15       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 1.19  |   0.01   |  50.00   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | 0.04  |   0.01   |   5.50   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. | no      | -0.71 |   0.01   |  -50.00  | 0.00***    |
| triangular) . SINGLE    |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  | no      | -0.19 |   0.11   |  -1.76   | 0.08.      |
| 0                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW: hetro group 0  |         | 0.00  |   0.02   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  |         | 0.01  |   0.05   |   0.15   | 0.88       |
| 0:uniform:sd  hetro     |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -744.154048120513
--------------------------------------------------------------------------------
bic: 1653.12
--------------------------------------------------------------------------------
MSE: 350.14
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.21 |   0.54   |  -0.38   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.25 |   0.22   |  -1.12   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.02 |   0.45   |  -2.26   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.19 |   0.18   |  -1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.05 |   0.10   |  -0.52   | 0.61       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.23  |   0.21   |   1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.18 |   0.18   |  -0.97   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -1.85   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.37 |   0.16   |  -2.31   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.19  |   0.06   |   3.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.35  |   0.11   |   3.09   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.08  |   0.10   |  10.70   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | -0.05 |   0.37   |  -0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.10 |   0.12   |  -0.77   | 0.44       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.04   |   0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.23  |   0.15   |   1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | 0.00  |   0.23   |   0.01   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.04   |  -0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.10  |   0.05   |   2.02   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.08  |   0.01   |   5.92   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE (Std. Dev.)      |         | 0.03  |   0.01   |   4.74   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.08  |   0.01   |  16.03   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.50  |   0.01   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.31  |   0.01   |  44.31   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.02  |   0.01   |   3.06   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.14 |   0.00   |  -30.62  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIGRADE (Std.    |         | 0.01  |   0.01   |   1.41   | 0.16       |
| Dev. normal) . DECLANES |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | -0.06 |   0.00   |  -18.43  | 0.00***    |
| Dev. uniform) .         |         |       |          |          |            |
| DECLANES (Std. Dev.     |         |       |          |          |            |
| uniform )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXGRADE (Std.    |         | 0.05  |   0.00   |  24.94   | 0.00***    |
| Dev. uniform) . MIGRADE |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -746.1718356094021
--------------------------------------------------------------------------------
bic: 1662.55
--------------------------------------------------------------------------------
MSE: 3128.34
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.26 |   0.43   |  -2.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.38 |   0.10   |  -3.69   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.19 |   0.10   |  -1.92   | 0.06.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.00 |   0.05   |  -0.07   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | sqrt    | -0.21 |   0.17   |  -1.24   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | -0.25 |   0.23   |  -1.10   | 0.27       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -1.31 |   0.12   |  -11.13  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.23  |   0.07   |   3.25   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.01   |   0.23   | 0.82       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.41  |   0.14   |   2.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.13  |   0.09   |   1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.03 |   0.04   |  -0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   3.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.02  |   0.08   |   0.30   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.24   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.10  |   0.08   |   1.27   | 0.21       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.32  |   0.08   |   3.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH (Std. Dev.)     |         | -1.49 |   0.01   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.04  |   0.00   |  17.62   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | -0.05 |   0.00   |  -14.90  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | -0.08 |   0.00   |  -50.00  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.06  |   0.00   |  23.57   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.04  |   0.00   |  26.08   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | -0.03 |   0.01   |  -2.74   | 0.01*      |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     |         | 0.06  |   0.00   |  15.15   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: CURVES (Std.     | arcsinh | -0.01 |   0.00   |  -4.89   | 0.00***    |
| Dev. uniform) . TANGENT |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    | no      | 0.46  |   0.07   |   6.24   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS: hetro group 0   | sqrt    | -0.18 |   0.18   |  -1.02   | 0.31       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  | no      | -0.01 |   0.00   |  -3.48   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE: hetro group 0   |         | -0.03 |   0.02   |  -1.22   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| main: GRADEBR: hetro    |         | 0.02  |   0.00   |   9.78   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -739.9107494936579
--------------------------------------------------------------------------------
bic: 1650.52
--------------------------------------------------------------------------------
MSE: 414.49
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.11 |   0.87   |  -0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 1.14  |   0.10   |  11.91   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.62  |   0.18   |   3.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.15 |   0.33   |  -0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.14  |   0.17   |   0.85   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.03 |   0.04   |  -0.65   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.02   |   2.63   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.20 |   0.20   |  -0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.12 |   0.12   |  -0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.22  |   0.12   |   1.84   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.37 |   0.20   |  -1.85   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.40 |   0.24   |  -1.71   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | arcsinh | -0.23 |   0.41   |  -0.56   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.36 |   0.13   |  -2.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.10 |   0.08   |  -1.33   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.02   |  -0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | arcsinh | -0.96 |   0.56   |  -1.72   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.00 |   0.01   |  -0.21   | 0.83       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -1.09 |   0.01   |  -50.00  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.01  |   0.00   |   2.62   | 0.01*      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.04  |   0.00   |  42.73   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.73  |   0.01   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.04 |   0.00   |  -11.05  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.03  |   0.00   |  34.04   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.05  |   0.00   |  49.20   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.00 |   0.00   |  -2.16   | 0.03*      |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     | log     | 0.02  |   0.00   |  46.54   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SPEED: hetro      | no      | -0.60 |   0.27   |  -2.19   | 0.03*      |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH: hetro group 0 |         | -0.02 |   0.04   |  -0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| main: SPEED: hetro      |         | 0.18  |   0.03   |   5.12   | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -743.5431594499116
--------------------------------------------------------------------------------
bic: 1657.79
--------------------------------------------------------------------------------
MSE: 379.62
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.27 |   0.17   |  -7.37   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.35 |   0.16   |  -2.10   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.08 |   0.09   |  -0.83   | 0.40       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.51 |   0.09   |  -5.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.23  |   0.11   |   2.18   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.32   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.05  |   0.03   |   1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | -0.00 |   0.02   |  -0.06   | 0.95       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   0.70   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.32 |   0.20   |  -1.59   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.04  |   0.07   |   0.58   | 0.56       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.23  |   0.08   |   2.79   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.59 |   0.18   |  -3.35   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.03  |   0.04   |   0.80   | 0.43       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.01 |   0.02   |  -0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.18  |   0.06   |   2.94   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | arcsinh | -0.09 |   0.07   |  -1.30   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.17  |   0.11   |  10.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.47  |   0.19   |   2.48   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.95 |   0.09   |  -10.88  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.01  |   0.00   |  15.01   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | 0.00  |   0.00   |   0.72   | 0.47       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG (Std. Dev.)    |         | 0.13  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | 0.13  |   0.00   |  29.30   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.45 |   0.01   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | 0.62  |   0.01   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.03  |   0.00   |  27.31   | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MXMEDSH (Std.    |         | 0.49  |   0.01   |  50.00   | 0.00***    |
| Dev. normal) . LENGTH   |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.02 |   0.00   |  -6.16   | 0.00***    |
| triangular) . LENGTH    |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.16 |   0.00   |  -43.31  | 0.00***    |
| triangular) . MXMEDSH   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -749.987359633319
--------------------------------------------------------------------------------
bic: 1668.78
--------------------------------------------------------------------------------
MSE: 228.82
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -2.80 |   0.21   |  -13.43  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.89  |   0.17   |   5.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.56 |   0.28   |  -1.99   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.05  |   0.04   |   1.14   | 0.26       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.00  |   0.09   |   0.05   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.12 |   0.05   |  -2.48   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.07   |  -0.15   | 0.88       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.03 |   0.14   |  -0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.04   |   0.37   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.22 |   0.50   |  -0.43   | 0.66       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.48  |   0.12   |   4.06   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.54   | 0.59       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | 0.00  |   0.02   |   0.08   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.02  |   0.02   |   0.95   | 0.34       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | 0.00  |   0.21   |   0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.15  |   0.12   |   1.23   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.02 |   0.07   |  -0.25   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.60 |   0.04   |  -14.93  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.27  |   0.09   |   3.03   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR (Std. Dev.)     |         | -0.00 |   0.00   |  -0.12   | 0.91       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE (Std. Dev.)     |         | 0.00  |   0.00   |   0.04   | 0.96       |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT (Std. Dev.)     |         | -0.00 |   0.01   |  -0.47   | 0.64       |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE (Std. Dev.)       |         | -0.00 |   0.03   |  -0.11   | 0.91       |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.27 |   0.01   |  -50.00  | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.00 |   0.00   |  -0.28   | 0.78       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | -0.00 |   0.01   |  -0.03   | 0.97       |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.14  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . MIMEDSH  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.01  |   0.00   |   1.39   | 0.17       |
| Dev. normal) . MIMEDSH  |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: INTECHAG (Std.   |         | 0.01  |   0.02   |   0.23   | 0.82       |
| Dev. normal) . ADTLANE  |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| nb                      |         | 2.74  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -743.6912819314379
--------------------------------------------------------------------------------
bic: 1689.95
--------------------------------------------------------------------------------
MSE: 247.50
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.39 |   0.53   |  -2.61   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.18 |   0.17   |  -1.03   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.06  |   0.04   |   1.59   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.45 |   0.10   |  -4.66   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | log     | -0.31 |   0.24   |  -1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | sqrt    | 0.21  |   0.17   |   1.22   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   1.85   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.01 |   0.06   |  -0.13   | 0.90       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.08  |   0.03   |   3.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.00  |   0.03   |   0.07   | 0.94       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.19  |   0.05   |   3.44   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.20  |   0.11   |   1.75   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.95  |   0.23   |   4.19   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.36 |   0.20   |  -1.78   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.73 |   0.12   |  -6.03   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.12  |   0.08   |   1.49   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.01  |   0.02   |   0.60   | 0.55       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.03  |   0.04   |   0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.03 |   0.01   |  -2.25   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.03 |   0.03   |  -0.90   | 0.37       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.05   |  -0.52   | 0.60       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.04  |   0.09   |   0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.40 |   0.19   |  -2.08   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.02 |   0.00   |  -15.48  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | 0.22  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.01 |   0.00   |  -11.77  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | 0.01  |   0.00   |   1.77   | 0.08.      |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | 0.02  |   0.00   |  33.72   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH (Std. Dev.)    |         | 0.04  |   0.00   |  11.13   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.00  |   0.00   |  14.21   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW (Std. Dev.)     |         | -0.01 |   0.00   |  -4.61   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: FC (Std. Dev.    |         | -0.60 |   0.01   |  -50.00  | 0.00***    |
| triangular) )           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | -0.14 |   0.01   |  -25.16  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | -0.08 |   0.00   |  -45.59  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: GRADEBR (Std.    |         | 0.34  |   0.01   |  24.65   | 0.00***    |
| Dev. lm_normal) . FC    |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.97  |   0.02   |  50.00   | 0.00***    |
| Dev. lm_normal) . FC    |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ACCESS (Std.     |         | 0.21  |   0.01   |  31.32   | 0.00***    |
| Dev. lm_normal) .       |         |       |          |          |            |
| GRADEBR (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -745.0334376137718
--------------------------------------------------------------------------------
bic: 1649.98
--------------------------------------------------------------------------------
MSE: 199.32
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.07 |   0.65   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.47  |   0.12   |   4.03   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.18 |   0.10   |  -1.72   | 0.09.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.03 |   0.03   |  -1.05   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.00 |   0.01   |  -0.00   | 1.00       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.02 |   0.08   |  -0.31   | 0.76       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   0.75   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.02   |   0.27   | 0.79       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.07  |   0.11   |   9.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.17 |   0.12   |  -1.43   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.56 |   0.28   |  -2.03   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | -0.05 |   0.03   |  -1.51   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.43 |   0.29   |  -1.46   | 0.15       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.03 |   0.04   |  -0.64   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | arcsinh | -0.06 |   0.08   |  -0.73   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.18 |   0.09   |  -2.05   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.24  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.17 |   0.00   |  -50.00  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH (Std. Dev.)       |         | 0.04  |   0.00   |  25.22   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | 0.11  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | -0.02 |   0.00   |  -23.26  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | 0.01  |   0.00   |  10.49   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TANGENT (Std.    |         | 0.23  |   0.01   |  19.49   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    | no      | -0.03 |   0.00   |  -22.54  | 0.00***    |
| Dev. uniform) . TANGENT |         |       |          |          |            |
| (Std. Dev.   triangular |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     | no      | -0.01 |   0.04   |  -0.13   | 0.90       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE: hetro group 0  | arcsinh | -0.01 |   0.05   |  -0.28   | 0.78       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 |         | -0.83 |   0.24   |  -3.51   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: SINGLE: hetro     |         | -0.09 |   0.01   |  -7.84   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -727.7010579351372
--------------------------------------------------------------------------------
bic: 1642.79
--------------------------------------------------------------------------------
MSE: 467.38
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.43 |   0.44   |  -0.99   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | sqrt    | 0.85  |   0.09   |   9.01   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.18 |   0.20   |  -0.88   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.04  |   0.03   |   1.04   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.19 |   0.09   |  -1.98   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.04   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.00  |   0.11   |   0.03   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.03  |   0.01   |   2.07   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT                 | no      | 0.00  |   0.02   |   0.17   | 0.87       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.01  |   0.02   |   0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.23  |   0.05   |   4.20   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.47   | 0.64       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.30 |   0.17   |  -1.75   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.02   |   1.14   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.06 |   0.15   |  -0.38   | 0.71       |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.27  |   0.07   |   3.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | arcsinh | -1.55 |   0.12   |  -12.45  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.08 |   0.05   |  -1.62   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.03  |   0.02   |   1.74   | 0.08.      |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.01 |   0.00   |  -4.03   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.01  |   0.00   |  31.41   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.08 |   0.00   |  -44.44  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.00  |   0.00   |   2.60   | 0.01*      |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | -0.16 |   0.01   |  -26.39  | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | -0.11 |   0.00   |  -49.82  | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.03  |   0.00   |  33.59   | 0.00***    |
| Dev. tn_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.00  |   0.00   |  16.55   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SINGLE (Std.     |         | 0.01  |   0.00   |   1.51   | 0.13       |
| Dev. normal) . SPEED    |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.02  |   0.00   |  15.41   | 0.00***    |
| Dev. tn_normal) . SPEED |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| Dev. tn_normal) .       |         |       |          |          |            |
| SINGLE (Std. Dev.       |         |       |          |          |            |
| normal )                |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.02  |   0.00   |  24.62   | 0.00***    |
| Dev. normal) . SPEED    |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | 0.01  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) . SINGLE   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.00 |   0.00   |  -50.00  | 0.00***    |
| Dev. normal) . MINRAD   |         |       |          |          |            |
| (Std. Dev.   tn_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -752.1345378672675
--------------------------------------------------------------------------------
bic: 1647.50
--------------------------------------------------------------------------------
MSE: 785.56
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -4.31 |   0.57   |  -7.62   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.95  |   0.09   |  10.27   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.06  |   0.02   |   3.64   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | no      | -0.00 |   0.01   |  -0.06   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   3.47   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.03 |   0.03   |  -0.94   | 0.35       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.10  |   0.05   |   2.28   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.28  |   0.05   |   5.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.09 |   0.04   |  -2.19   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.03 |   0.04   |  -0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.26 |   0.20   |  -1.28   | 0.20       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.63 |   0.07   |  -9.37   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.02 |   0.03   |  -0.87   | 0.38       |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | 0.07  |   0.00   |  37.77   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE (Std. Dev.)     |         | 0.07  |   0.01   |   8.79   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.06  |   0.00   |  23.58   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MIMEDSH (Std.    |         | -0.37 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     |         | -0.02 |   0.00   |  -30.04  | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MINRAD (Std.     | no      | 0.11  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) . MIMEDSH |         |       |          |          |            |
| (Std. Dev.   lm_normal  |         |       |          |          |            |
| )                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: FRICTION: hetro   | sqrt    | -0.05 |   0.01   |  -6.11   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  | no      | -0.01 |   0.00   |  -5.74   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW: hetro group 0  | arcsinh | -0.00 |   0.01   |  -0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     | arcsinh | 0.11  |   0.13   |   0.85   | 0.39       |
| group 1                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| TANGENT: hetro group 1  |         | 0.04  |   0.06   |   0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| main: FRICTION: hetro   |         | -0.01 |   0.00   |  -8.56   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: PEAKHR: hetro     |         | 0.03  |   0.02   |   1.30   | 0.20       |
| group 1:uniform:sd      |         |       |          |          |            |
| hetro group 1           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -728.0292000663637
--------------------------------------------------------------------------------
bic: 1605.19
--------------------------------------------------------------------------------
MSE: 320.38
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -1.23 |   0.32   |  -3.90   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.17 |   0.21   |  -0.81   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.01  |   0.04   |   0.20   | 0.84       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.04 |   0.04   |  -0.99   | 0.33       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.01   |   1.55   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.02  |   0.02   |   0.74   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.24  |   0.06   |   4.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.87  |   0.08   |  10.25   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.26 |   0.24   |  -1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | arcsinh | 0.20  |   0.08   |   2.48   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | 0.01  |   0.02   |   0.36   | 0.72       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.51 |   0.14   |  -3.71   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | sqrt    | -0.00 |   0.00   |  -2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | -0.01 |   0.02   |  -0.76   | 0.45       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.04 |   0.00   |  -16.58  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES (Std. Dev.)    |         | -0.01 |   0.00   |  -8.29   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF (Std. Dev.)    |         | -0.06 |   0.00   |  -27.09  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.00   |  -1.17   | 0.24       |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.05 |   0.00   |  -16.27  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: ADTLANE (Std.    |         | -0.01 |   0.00   |  -50.00  | 0.00***    |
| Dev. lm_normal) )       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    |         | -0.02 |   0.00   |  -8.69   | 0.00***    |
| Dev. triangular) )      |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVESNOW (Std.    | no      | 0.02  |   0.00   |  19.28   | 0.00***    |
| Dev. triangular) .      |         |       |          |          |            |
| ADTLANE (Std. Dev.      |         |       |          |          |            |
| lm_normal )             |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  | arcsinh | -0.17 |   0.11   |  -1.53   | 0.13       |
| 0                       |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE: hetro group 0  | log     | 0.09  |   0.03   |   3.42   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 | sqrt    | -1.63 |   0.11   |  -14.29  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE: hetro group 0   |         | 0.11  |   0.08   |   1.31   | 0.19       |
+-------------------------+---------+-------+----------+----------+------------+
| main: URB: hetro group  |         | 0.06  |   0.03   |   1.76   | 0.08.      |
| 0:uniform:sd  hetro     |         |       |          |          |            |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -736.3516414910531
--------------------------------------------------------------------------------
bic: 1622.33
--------------------------------------------------------------------------------
MSE: 277.38
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.38 |   0.25   |  -1.52   | 0.13       |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.02  |   0.03   |   0.63   | 0.53       |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.01  |   0.13   |   0.09   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | -0.04 |   0.07   |  -0.61   | 0.54       |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | 0.00  |   0.02   |   0.20   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.26 |   0.18   |  -1.43   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.01 |   0.03   |  -0.46   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | log     | -1.42 |   0.22   |  -6.51   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.20  |   0.05   |   3.88   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.01  |   0.01   |   0.49   | 0.62       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.05  |   0.09   |  12.02   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.23 |   0.16   |  -1.42   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.42 |   0.10   |  -3.98   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.10 |   0.04   |  -2.63   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| DECLANES                | no      | -0.19 |   0.17   |  -1.07   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.09 |   0.07   |  -1.22   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | -0.23 |   0.00   |  -50.00  | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| URB (Std. Dev.) normal  |         | 0.82  |   0.00   |  50.00   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.)          |         | -0.02 |   0.00   |  -26.99  | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DECLANES (Std.   |         | 0.63  |   0.01   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | 0.04  |   0.00   |  46.30   | 0.00***    |
| uniform) )              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. | no      | -0.14 |   0.00   |  -36.66  | 0.00***    |
| uniform) . DECLANES     |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    | no      | 0.10  |   0.02   |   4.91   | 0.00***    |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE: hetro group 0  | arcsinh | 0.05  |   0.01   |   3.93   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE: hetro group 0  |         | -0.16 |   0.09   |  -1.82   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| main: MXMEDSH: hetro    |         | 0.03  |   0.00   |   8.89   | 0.00***    |
| group 0:lm_normal:sd    |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -752.7633752497845
--------------------------------------------------------------------------------
bic: 1677.23
--------------------------------------------------------------------------------
MSE: 7742.02
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.05 |   0.56   |  -0.10   | 0.92       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | no      | 0.09  |   0.02   |   4.11   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -0.14 |   0.29   |  -0.48   | 0.63       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.11 |   0.10   |  -1.08   | 0.28       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.01 |   0.04   |  -0.33   | 0.74       |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.02 |   0.04   |  -0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.05  |   0.02   |   3.37   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.03  |   0.08   |   0.40   | 0.69       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.41 |   0.18   |  -2.21   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | 0.05  |   0.04   |   1.43   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| SLOPE                   | no      | 0.07  |   0.06   |   1.22   | 0.22       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.33  |   0.07   |   4.87   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | no      | 0.22  |   0.03   |   8.33   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.72 |   0.16   |  -4.54   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | arcsinh | 0.25  |   0.18   |   1.39   | 0.17       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | log     | -0.33 |   0.10   |  -3.39   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | sqrt    | 0.29  |   0.08   |   3.43   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | log     | -0.09 |   0.31   |  -0.29   | 0.77       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | 0.02  |   0.04   |   0.45   | 0.65       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH (Std. Dev.)      |         | 0.10  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | -0.10 |   0.00   |  -50.00  | 0.00***    |
| lm_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.02 |   0.00   |  -14.90  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.16  |   0.00   |  33.40   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: WIDTH (Std. Dev. |         | -0.14 |   0.00   |  -50.00  | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. |         | -0.01 |   0.00   |  -5.64   | 0.00***    |
| lm_normal) )            |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: TRAIN (Std. Dev. | no      | 0.18  |   0.00   |  50.00   | 0.00***    |
| lm_normal) . WIDTH      |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    | arcsinh | 0.05  |   0.03   |   1.52   | 0.13       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD: hetro group 0   | arcsinh | 0.03  |   0.02   |   1.47   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION: hetro group 0 |         | -1.05 |   0.31   |  -3.41   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    |         | -0.06 |   0.01   |  -8.90   | 0.00***    |
| group 0:uniform:sd      |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -728.2700978454302
--------------------------------------------------------------------------------
bic: 1620.35
--------------------------------------------------------------------------------
MSE: 385.81
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.64 |   0.24   |  -2.71   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 0.89  |   0.11   |   8.32   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.24 |   0.10   |  -2.38   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | 0.05  |   0.03   |   1.48   | 0.14       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.10 |   0.04   |  -2.16   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MIGRADE                 | no      | -0.00 |   0.05   |  -0.01   | 0.99       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | arcsinh | 0.06  |   0.03   |   2.51   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.09  |   0.08   |   1.16   | 0.25       |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.18  |   0.06   |   2.99   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.42 |   0.10   |  -4.08   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.03  |   0.02   |   2.19   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD                  | arcsinh | -0.01 |   0.02   |  -0.24   | 0.81       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | -0.14 |   0.20   |  -0.73   | 0.47       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.37 |   0.07   |  -5.24   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.34  |   0.09   |   3.60   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | sqrt    | -0.63 |   0.10   |  -6.54   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MEDWIDTH                | no      | -0.00 |   0.04   |  -0.08   | 0.93       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.81  |   0.01   |  50.00   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | -0.00 |   0.00   |  -7.00   | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MINRAD (Std. Dev.)      |         | -0.00 |   0.00   |  -1.92   | 0.06.      |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | -0.06 |   0.00   |  -33.20  | 0.00***    |
| normal                  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE (Std. Dev.)     |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE (Std. Dev.)      |         | 0.19  |   0.01   |  33.32   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: SPEED (Std. Dev. |         | 0.07  |   0.00   |  22.38   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   |         | 0.04  |   0.00   |  26.73   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: MEDWIDTH (Std.   | no      | -0.09 |   0.01   |  -18.32  | 0.00***    |
| Dev. uniform) . SPEED   |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    | arcsinh | 0.05  |   0.04   |   1.34   | 0.18       |
| group 0                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR: hetro group 0  | arcsinh | -0.00 |   0.07   |  -0.03   | 0.97       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF: hetro group 0 |         | 0.16  |   0.09   |   1.80   | 0.07.      |
+-------------------------+---------+-------+----------+----------+------------+
| main: MIMEDSH: hetro    |         | -0.42 |   0.08   |  -5.47   | 0.00***    |
| group 0:triangular:sd   |         |       |          |          |            |
| hetro group 0           |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -740.9664859381558
--------------------------------------------------------------------------------
bic: 1642.35
--------------------------------------------------------------------------------
MSE: 269.28
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.30 |   0.30   |  -1.00   | 0.32       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.45 |   0.08   |  -5.69   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | no      | 0.03  |   0.02   |   1.56   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.21 |   0.10   |  -11.65  | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.16 |   0.10   |  -1.63   | 0.11       |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.09 |   0.04   |  -2.25   | 0.03*      |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | no      | -0.05 |   0.05   |  -1.06   | 0.29       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   3.80   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRDIFF                | no      | 0.01  |   0.02   |   0.66   | 0.51       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | arcsinh | 0.07  |   0.06   |   1.17   | 0.24       |
+-------------------------+---------+-------+----------+----------+------------+
| ADTLANE                 | arcsinh | -0.26 |   0.07   |  -3.57   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.02   |   0.06   | 0.96       |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.04 |   0.04   |  -1.05   | 0.30       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR                  | no      | 0.02  |   0.01   |   1.40   | 0.16       |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS                  | no      | 0.03  |   0.12   |   0.25   | 0.80       |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | sqrt    | -0.19 |   0.08   |  -2.49   | 0.01*      |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | arcsinh | 1.05  |   0.07   |  16.10   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| DOUBLE                  | log     | 0.28  |   0.14   |   1.96   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | arcsinh | 0.24  |   0.07   |   3.31   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) uniform  |         | 0.00  |   0.00   |   0.71   | 0.48       |
+-------------------------+---------+-------+----------+----------+------------+
| PEAKHR (Std. Dev.)      |         | 0.00  |   0.00   |   9.83   | 0.00***    |
| tn_normal               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| ACCESS (Std. Dev.)      |         | 0.01  |   0.00   |   1.96   | 0.05.      |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION (Std. Dev.)    |         | 0.04  |   0.00   |  50.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: LENGTH (Std.     |         | -0.06 |   0.01   |  -9.89   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | 0.17  |   0.00   |  50.00   | 0.00***    |
| Dev. normal) )          |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.13  |   0.00   |  37.51   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: DOUBLE (Std.     |         | 0.02  |   0.01   |   1.88   | 0.06.      |
| Dev. normal) . LENGTH   |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.33  |   0.01   |  50.00   | 0.00***    |
| Dev. uniform) . LENGTH  |         |       |          |          |            |
| (Std. Dev.   uniform )  |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | -0.54 |   0.00   |  -50.00  | 0.00***    |
| Dev. uniform) . DOUBLE  |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
new solution, pareto optimal
--------------------------------------------------------------------------------
Log-Likelihood:  -741.0602820138885
--------------------------------------------------------------------------------
bic: 1630.75
--------------------------------------------------------------------------------
MSE: 259.31
+-------------------------+---------+-------+----------+----------+------------+
|         Effect          | $\tau$  | Coeff | Std. Err | z-values | Prob |z|>Z |
+=========================+=========+=======+==========+==========+============+
| const                   | no      | -0.60 |   0.82   |  -0.73   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| LENGTH                  | log     | 1.29  |   0.13   |   9.70   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| WIDTH                   | sqrt    | -0.07 |   0.09   |  -0.80   | 0.42       |
+-------------------------+---------+-------+----------+----------+------------+
| MXMEDSH                 | arcsinh | 0.59  |   0.14   |   4.34   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| SINGLE                  | no      | -0.03 |   0.05   |  -0.56   | 0.57       |
+-------------------------+---------+-------+----------+----------+------------+
| GRADEBR                 | arcsinh | 0.03  |   0.07   |   0.39   | 0.70       |
+-------------------------+---------+-------+----------+----------+------------+
| MXGRADE                 | no      | 0.04  |   0.01   |   3.36   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FRICTION                | no      | -0.02 |   0.01   |  -2.28   | 0.02*      |
+-------------------------+---------+-------+----------+----------+------------+
| INTECHAG                | no      | 0.09  |   0.05   |   2.01   | 0.05.      |
+-------------------------+---------+-------+----------+----------+------------+
| AVESNOW                 | no      | 0.00  |   0.02   |   0.19   | 0.85       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES                | no      | -0.53 |   0.16   |  -3.38   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH                 | arcsinh | -0.18 |   0.09   |  -2.06   | 0.04*      |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED                   | log     | -1.62 |   0.25   |  -6.41   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| FC                      | no      | -0.06 |   0.04   |  -1.57   | 0.12       |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN                   | arcsinh | 0.08  |   0.10   |   0.75   | 0.46       |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES                  | no      | -0.00 |   0.02   |  -0.14   | 0.89       |
+-------------------------+---------+-------+----------+----------+------------+
| URB                     | no      | -0.65 |   0.10   |  -6.18   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| AVEPRE                  | log     | 0.04  |   0.10   |   0.43   | 0.67       |
+-------------------------+---------+-------+----------+----------+------------+
| INCLANES (Std. Dev.)    |         | 0.34  |   0.00   |  50.00   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| MIMEDSH (Std. Dev.)     |         | -0.05 |   0.00   |  -14.86  | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| SPEED (Std. Dev.)       |         | 0.05  |   0.00   |  29.00   | 0.00***    |
| uniform                 |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| FC (Std. Dev.) uniform  |         | 0.01  |   0.00   |   4.60   | 0.00***    |
+-------------------------+---------+-------+----------+----------+------------+
| TRAIN (Std. Dev.)       |         | -0.03 |   0.01   |  -4.65   | 0.00***    |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
| CURVES (Std. Dev.)      |         | -0.00 |   0.00   |  -0.14   | 0.89       |
| triangular              |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: URB (Std. Dev.   |         | 0.68  |   0.01   |  50.00   | 0.00***    |
| normal) )               |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.35  |   0.00   |  50.00   | 0.00***    |
| Dev. uniform) )         |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
|  Chol: AVEPRE (Std.     |         | 0.06  |   0.00   |  17.53   | 0.00***    |
| Dev. uniform) . URB     |         |       |          |          |            |
| (Std. Dev.   normal )   |         |       |          |          |            |
+-------------------------+---------+-------+----------+----------+------------+
failed to converge..
The model did not converge

Notes:

Capabilities of the software include:

  • Handling of Panel Data
  • Support for Data Transformations
  • Implementation of Models with Correlated and Non-Correlated Random Parameters
  • A variety of mixing distributions for parameter estimations, including normal, lognormal, truncated normal, Lindley, Gamma, triangular, and uniform distributions Capability to handle heterogeneity in the means of the random parameters
  • Use of Halton draws for simulated maximum likelihood estimation
  • Support for grouped random parameters with unbalanced groups
  • Post-estimation tools for assessing goodness of fit, making predictions, and conducting out-of-sample validation
  • Multiple parameter optimization routines, such as the BFGS method
  • Comprehensive hypothesis testing using single objectives, such as in-sample BIC and log-likelihood
  • Extensive hypothesis testing using multiple objectives, such as in-sample BIC and out-of-sample MAE (Mean Absolute Error), or in-sample AIC and out-of-sample MSPE (mean-square prediction errorr)
  • Features that allow analysts to pre-specify variables, interactions, and mixing distributions, among others
  • Meta-heuristic Guided Optimization, including techniques like Simulated Annealing, Harmony Search, and Differential Evolution
  • Customization of Hyper-parameters to solve problems tailored to your dataset
  • Out-of-the-box optimization capability using default metaheuristics

Intepreting the output of the model:

A regression table is produced. The following text elements are explained:

  • Std. Dev.: This column appears for effects that are related to random paramters and displays the assument distributional assumption next to it
  • Chol: This term refers to Cholesky decomposition element, to show the correlation between two random paramaters. The combination of the cholesky element on iyself is equivalent to a normal random parameter.
  • hetro group: This term represents the heterogeneity group number, which refers all of the contributing factors that share hetrogentiy in the means to each other under the same numbered value.
  • $\tau$: This column, displays the type of transformation that was applied to the specific contributing factor in the data.

Arguments:

In reference to the arguments that can be fed into the solution alrogithm, a dictionary system is utilised with relecant names these include

The following list describes the arguments available in this function. By default, all of the capabilities described are enabled unless specified otherwise as an argument. For list arguments, include all desired elements in the list to ensure the corresponding options are considered. Example code will be provided later in this guide.

  1. complexity_level: This argument accepts an integer 1-6 or a list based of integegers between 0 to 5 eg might be a possible configuration [0, 2, 3]. Each integer represents a hierarchy level for estimable models associated with each explanatory variable. Here is a summary of the hierarchy:

    • 0: Null model
    • 1: Simple fixed effects model
    • 2: Random parameters model
    • 3: Random correlated parameters model
    • 4: Grouped random parameters model
    • 5: Heterogeneity in the means random parameter model

    Note: For the grouped random parameters model, groupings need to be defined prior to estimation. This can be achieved by including the following key-value pair in the arguments of the ObjectiveFunction: 'group': "Enter Column Grouping in data". Replace "Enter Column Grouping in data" with the actual column grouping in your dataset.

    Similarly, for panel data, the panel column needs to be defined using the key-value pair: 'panel': "enter column string covering panels". Replace "enter column string covering panels" with the appropriate column string that represents the panel information in your dataset.

  2. distributions: This argument accepts a list of strings where each string corresponds to a distribution. Valid options include:

    • "Normal"
    • "Lindley"
    • "Uniform"
    • "LogNormal"
    • "Triangular"
    • "Gamma"
    • "TruncatedNormal"
    • Any of the above, concatenated with ":" (e.g., "Normal:grouped"; requires a grouping term defined in the model)
  3. Model: This argument specifies the model form. It can be a list of integers representing different models to test:

    • 0: Poisson
    • 1: Negative-Binomial
    • 2: Generalized-Poisson
  4. transformations: This argument accepts a list of strings representing available transformations within the framework. Valid options include:

    • "no"
    • "square-root"
    • "logarithmic"
    • "archsinh"
    • "as_factor"
  5. is_multi: This argument accepts an integer indicating whether single or multiple objectives are to be tested (0 for single, 1 for multiple).

  6. test_percentage: This argument is used for multi-objective optimization. Define it as a decimal; for example, 0.2 represents 20% of the data for testing.

  7. val_percentage: This argument saves data for validation. Define it as a decimal; for example, 0.2 represents 20% of the data for validation.

  8. _max_time: This argument is used to add a termination time in the algorithm. It takes values as seconds. Note the time is only dependenant on the time after intial population of solutions are generated.

Example: Assistance by Harmony Search

Let's begin by fitting very simple models and use the structure of these models to define our objectives. Then, we can conduct a more extensive search on the variables that are more frequently identified. For instance, in the case below, the complexity is level 3, indicating that we will consider, at most, three randomly correlated parameters. This approach is useful for initially identifying a suitable set of contributing factors for our search.

df = pd.read_csv(
"https://raw.githubusercontent.com/zahern/data/main/Ex-16-3.csv")
X = df
y = df['FREQ']  # Frequency of crashes
X['Offset'] = np.log(df['AADT']) # Explicitley define how to offset the data, no offset otherwise
# Drop Y, selected offset term and  ID as there are no panels
X = df.drop(columns=['FREQ', 'ID', 'AADT'])  

arguments = {
        'algorithm': 'hs', #alternatively input 'de', or 'sa'
        'is_multi': 1,
        'test_percentage': 0.2, # used in multi-objective optimisation only. Saves 20% of data for testing.
        'val_percentage:': 0.2, # Saves 20% of data for testing.
        'test_complexity': 3, # For Very simple Models
        'obj_1': 'BIC', '_obj_2': 'RMSE_TEST',
        'instance_number': 'name', # used for creeating a named folder where your models are saved into from the directory
        'distribution': ['Normal'],
        'Model': [0],  # or equivalently ['POS', 'NB']
        'transformations': ['no', 'sqrt', 'archsinh'],
        '_max_time': 10000
    }
obj_fun = ObjectiveFunction(X, y, **arguments)
results = harmony_search(obj_fun)
print(results)

Contact

If you have any questions, ideas to improve MetaCountRegressor, or want to report a bug, just open a new issue in GitHub repository.

Citing MetaCountRegressor

Please cite MetaCountRegressor as follows:

Ahern, Z., Corry P., Paz A. (2024). MetaCountRegressor [Computer software]. https://pypi.org/project/metacounregressor/

Or using BibTex as follows:

@misc{Ahern2024Meta,
   author = {Zeke Ahern, Paul Corry and Alexander Paz},
   journal = {PyPi},
   title = {metacountregressor · PyPI},
   url = {https://pypi.org/project/metacountregressor/0.1.80/},
   year = {2024},
}

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