Class C(18, 10)

Conference designs C(18, 10)

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 26
Minimum/Maximum rank of model matrix with 2FI and QE 18/18
Minimum/Maximum rank of model matrix for 2FI 17/17
Minimum B4 10.2963
Maximum B4 11.6790
Minimum F4 (0, 0, 79, 131)
Maximum F4 (6, 4, 44, 156)
Data all arrays

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


Pareto optimal designs

There are 7 Pareto optimal designs in 7 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
5 19 18 17 (0, 0, 79, 131) 10.40 1.000 1.000 15.549 14.537 1.717 1.089 Yes 18
4 17 18 17 (0, 0, 82, 128) 10.69 1.000 1.000 15.541 14.512 1.718 1.091 Yes 18
2 10 18 17 (0, 0, 85, 125) 10.99 1.000 1.000 15.533 14.491 1.718 1.092 Yes 18
3 13 18 17 (0, 0, 85, 125) 10.99 1.000 1.000 15.534 14.496 1.717 1.093 Yes 18
6 25 18 17 (0, 0, 86, 124) 11.09 1.000 1.000 15.529 14.478 1.720 1.095 Yes 18
1 9 18 17 (0, 0, 88, 122) 11.28 1.000 1.000 15.527 14.493 1.717 1.101 Yes 18
0 6 18 17 (0, 4, 66, 140) 10.30 0.981 0.746 15.275 10.977 1.693 0.846 No 10


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