Class C(16, 9)

Conference designs C(16, 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 42
Minimum/Maximum rank of model matrix with 2FI and QE 16/16
Minimum/Maximum rank of model matrix for 2FI 15/15
Minimum B4 6.7500
Maximum B4 9.6250
Minimum F4 (1, 18, 39, 68)
Maximum F4 (14, 0, 28, 84)
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).

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 8 16 15 (1, 18, 39, 68) 7.50 0.849 0.381 11.961 4.931 1.431 0.346 Yes 16
3 32 16 15 (1, 18, 41, 66) 7.62 0.849 0.317 11.957 4.112 1.432 0.281 Yes 10
4 33 16 15 (2, 14, 38, 72) 7.00 0.873 0.468 12.301 6.062 1.470 0.422 Yes 16
1 16 16 15 (4, 10, 34, 78) 6.88 0.889 0.508 12.535 6.581 1.494 0.444 Yes 16
2 23 16 15 (4, 10, 36, 76) 7.00 0.889 0.508 12.531 6.578 1.495 0.452 Yes 16
5 35 16 15 (6, 6, 30, 84) 6.75 0.905 0.571 12.769 7.406 1.518 0.494 Yes 16


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