Conference designs C(22, 9)
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 | 78966 |
Minimum/Maximum rank of model matrix with 2FI and QE | 20/22 |
Minimum/Maximum rank of model matrix for 2FI | 19/21 |
Minimum B4 | 4.6116 |
Maximum B4 | 9.7686 |
Minimum F4 | (0, 0, 2, 56, 68) |
Maximum F4 | (3, 0, 7, 24, 92) |
Note: 2FI: two-factor interaction; QE: quadratic effect
Pareto optimal designs
There are 7 Pareto optimal designs in 5 classes. Pareto optimality is according to r(2FI, QE), r(2FI), F4, and B4 (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 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
6 | 40142 | 22 | 21 | (0, 0, 2, 56, 68) | 5.14 | 1.000 | 1.000 | 18.561 | 18.180 | 1.820 | 1.292 | Yes |
0 | 5033 | 22 | 21 | (0, 0, 3, 49, 74) | 4.88 | 1.000 | 0.992 | 18.575 | 18.104 | 1.821 | 1.288 | Yes |
2 | 11106 | 22 | 21 | (0, 0, 4, 44, 78) | 4.74 | 1.000 | 0.984 | 18.582 | 17.980 | 1.823 | 1.276 | Yes |
1 | 7014 | 22 | 21 | (0, 0, 5, 40, 81) | 4.68 | 1.000 | 0.992 | 18.589 | 18.133 | 1.822 | 1.280 | Yes |
3 | 15800 | 22 | 21 | (0, 0, 6, 36, 84) | 4.61 | 1.000 | 0.992 | 18.591 | 18.167 | 1.823 | 1.293 | No |
4 | 32881 | 22 | 21 | (0, 0, 6, 36, 84) | 4.61 | 1.000 | 0.992 | 18.591 | 18.173 | 1.823 | 1.296 | No |
5 | 38764 | 22 | 21 | (0, 0, 6, 36, 84) | 4.61 | 1.000 | 1.000 | 18.592 | 18.304 | 1.823 | 1.303 | Yes |
Page generated on Tue Oct 22 20:35:41 2019.