definitive-screening-design 0.5.0

Definitive Screening Design

Definitive Screening Design (DSD)

Main References

• Bradley Jones and Christopher J. Nachtsheim. "A Class of Three-Level Designs for Definitive Screening in the Presence of Second-Order Effects" Journal of Quality Technology (2011) 43, 1–15. 10.1080/00224065.2011.11917841
• Lili Xiao, Dennis K. J. Lin, Fenghan Bai, "Constructing Definitive Screening Designs Using Conference Matrices" Journal of Quality Technology (2012) 44, 2-8. 10.1080/00224065.2012.11917877
• Bradley Jones and Christopher J. Nachtsheim. "Definitive screening designs with added two-level categorical factors" Journal of Quality Technology (2013) 45, 121-129. 10.1080/00224065.2013.11917921

Further References about the practical use of this design

• Bradley Jones - "Simulating Responses and Fitting Definitive Screening Designs"
• Bradley Jones - "Proper and Improper use of Definitive Screening Designs"
• Douglas Montgomery - Coursera lesson on "General Structure of a DSD with m Factors"
• Paul Nelson - "The Evolution of Definitive Screening Designs from Optimal (Custom) DoE"
• Errore, Jones, Nachtsheim (2016) - "Using Definitive Screening Designs to Identify Active First- and Second-Order Factor Effects"
• Jones, Nachtesheim (2017) "Effective Design-Based Model Selection for Definitive Screening Designs"
• Weese, Ramsey, Montgomery (2018) - "Analysis of definitive screening designs: Screening vs prediction"

Installation

pip install definitive_screening_design

Example

Generate a Definitive Design screening with three numerical and two 2-levels categoricals factors, using the protocol presented in the 2013 paper. The result is a Pandas DataFrame.

import definitive_screening_design as dsd
dsd.generate(n_num=3, n_cat=2)

	X01	X02	X03	C01	C02
1	0	1	1	2	2
2	-0	-1	-1	1	1
3	1	0	-1	2	2
4	-1	-0	1	1	1
5	1	-1	0	1	2
6	-1	1	-0	2	1
7	1	1	-1	2	1
8	-1	-1	1	1	2
9	1	1	1	1	2
10	-1	-1	-1	2	1
11	1	-1	1	2	1
12	-1	1	-1	1	2
13	0	0	0	1	1
14	0	0	0	2	2

Check the notebooks folder for further examples and explainations.