Class C(22, 9)

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).

All Pareto optimal designs.

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.