Class C(16, 12)

Conference designs C(16, 12)

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 13
Minimum/Maximum rank of model matrix with 2FI and QE 16/16
Minimum/Maximum rank of model matrix for 2FI 15/15
Minimum B4 28.5000
Maximum B4 29.0625
Minimum F4 (12, 52, 140, 291)
Maximum F4 (21, 36, 132, 306)
Data all arrays

Note: 2FI: two-factor interaction; QE: quadratic effect


Pareto optimal designs

There are 9 Pareto optimal designs in 8 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).

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 Max. columns
0 0 16 15 (12, 52, 140, 291) 28.50 0.871 0.447 12.274 5.789 1.465 0.395 Yes 16
1 1 16 15 (14, 48, 138, 295) 28.50 0.875 0.460 12.332 5.953 1.471 0.406 Yes 16
2 3 16 15 (14, 48, 139, 294) 28.56 0.875 0.457 12.332 5.920 1.472 0.404 Yes 16
3 6 16 15 (14, 48, 139, 294) 28.56 0.875 0.457 12.332 5.920 1.472 0.404 Yes 16
5 8 16 15 (16, 44, 136, 299) 28.50 0.879 0.462 12.391 5.987 1.478 0.405 Yes 16
7 10 16 15 (16, 44, 137, 298) 28.56 0.879 0.462 12.390 5.987 1.478 0.406 Yes 16
6 9 16 15 (18, 40, 134, 303) 28.50 0.883 0.475 12.449 6.151 1.484 0.415 Yes 16
4 7 16 15 (20, 36, 132, 307) 28.50 0.887 0.495 12.508 6.412 1.491 0.434 Yes 16
8 11 16 15 (20, 36, 133, 306) 28.56 0.887 0.495 12.507 6.412 1.491 0.435 Yes 16


Page generated on Tue Oct 22 20:35:41 2019.