Linear regression of data sets with correlated and uncorrelated uncertainties.
Project description
Mahon linear regression
The goal of this project is to provide a python package that allows to calculate linear regressions on data sets with uncertainties. Linear regressions can be performed for correlated and uncorrelated uncertainties. The calculations follow the methodology published by Mahon (1996). Typographical errors that were made in that work have been corrected. A method to allow calculating a linear regression through a fixed point, avoiding previously made errors, is also provided.
Installation
The package can be installed from pypi
via:
pip install mahon
Usage
Below is an example on how to use the package.
>>> import numpy as np
>>> from mahon import LinReg
>>> # some data
>>> xdata = np.array([1, 2, 3.1, 4.9])
>>> ydata = np.array([1.1, 1.9, 3, 5.5])
>>> # some uncertainty and correlation
>>> xunc = 0.05 * xdata
>>> yunc = 0.073 * ydata
>>> rho = np.zeros_like(xdata) + 0.5
>>> # do regression
>>> my_reg = LinReg(xdata, xunc, ydata, yunc, rho)
>>> # print out the parameters and their uncertainties
>>> my_reg.slope
(0.9983617286559998, 0.0684389236571533)
>>> my_reg.intercept
(0.05545339135826666, 0.11811730191506546)
>>> my_reg.mswd
2.5105964767246842
Detailed example on how to use the class for fitting and plotting the results can be found in this Jupyter notebook.
Development & Contributing
If you would like to contribute, clone the GitHub repo and then install the package locally from within the folder via:
pip install -e .[dev]
If you also want to install the full test environment, run:
pip install -e .[dev,test]
Code auto formatting is implemented using
pre-commit
hooks.
Full testing of the package can be done with
nox
.
Please feel free to raise issues on GitHub and open pull requests if you have a feature to be added. Tests and adequate docstrings should be provided along with your new code.
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