Definitive Screening Design
Project description
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 43, no. 1 (January 2011): 1–15. https://doi.org/10.1080/00224065.2011.11917841.
- Bradley Jones and Christopher J. Nachtsheim. "Definitive screening designs with added two-level categorical factors" Journal of Quality Technology 45.2 (2013): 121-129. https://doi.org/10.1080/00224065.2013.11917921
Further References about the practical use of this design
- Bradley Jones. "Proper and Improper use of Definitive Screening Designs"
- Douglas Motngomery. Coursera lesson on "General Structure of a DSD with m Factors"
- Paul Nelson. "The Evolution of Definitive Screening Designs from Optimal (Custom) DoE"
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.
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