Conference designs C(20, 6)
This page contains information about conference designs. The results have been generated with the Orthogonal Array package. If you use these results, please cite the paper A Classification Criterion for Definitive Screening Designs, E.D. Schoen, P.T. Eendebak, P. Goos, Annals of Statistics, 2019.
Results
| Statistic | Results |
| Number of non-isomorphic designs | 219 |
| Minimum/Maximum rank of model matrix with 2FI and QE | 13/20 |
| Minimum/Maximum rank of model matrix for 2FI | 12/15 |
| Minimum B4 | 0.3600 |
| Maximum B4 | 1.5600 |
| Minimum F4 | (0, 0, 0, 9, 6) |
| Maximum F4 | (0, 3, 0, 12, 0) |
| Data | all arrays |
Note: 2FI: two-factor interaction; QE: quadratic effect
Pareto optimal designs
There are 6 Pareto optimal designs in 6 classes. Pareto optimality is according to r(2FI, QE), r(2FI), F4, B4, PEC4, PEC5, PIC4, PIC5, PPC4, and PPC5 (any other statistics are ignored).
| Index Pareto file | Index design file | Rank 2FI and QE | Rank 2FI | F4 | B4 | PEC4 | PEC5 | PIC4 | PIC5 | PPC4 | PPC5 | Extensions | Max. columns |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 3 | 195 | 19 | 15 | (0, 0, 0, 9, 6) | 0.36 | 1.000 | 1.000 | 17.174 | 16.880 | 1.798 | 1.277 | Yes | 20 |
| 1 | 159 | 20 | 15 | (0, 0, 0, 10, 5) | 0.40 | 1.000 | 1.000 | 17.158 | 16.665 | 1.792 | 1.208 | Yes | 20 |
| 0 | 112 | 20 | 15 | (0, 0, 0, 11, 4) | 0.44 | 1.000 | 1.000 | 17.143 | 16.770 | 1.786 | 1.221 | Yes | 20 |
| 2 | 178 | 20 | 15 | (0, 0, 1, 9, 5) | 0.52 | 1.000 | 1.000 | 17.109 | 16.717 | 1.794 | 1.276 | Yes | 20 |
| 4 | 199 | 19 | 15 | (0, 0, 1, 9, 5) | 0.52 | 1.000 | 1.000 | 17.109 | 16.735 | 1.794 | 1.294 | Yes | 20 |
| 5 | 208 | 19 | 15 | (0, 0, 3, 9, 3) | 0.84 | 1.000 | 1.000 | 16.980 | 16.375 | 1.786 | 1.307 | Yes | 20 |
Page generated on Tue Oct 22 20:35:41 2019.