Class C(20, 7)

Conference designs C(20, 7)

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 1781
Minimum/Maximum rank of model matrix with 2FI and QE 15/20
Minimum/Maximum rank of model matrix for 2FI 13/19
Minimum B4 1.0000
Maximum B4 3.3200
Minimum F4 (0, 0, 0, 25, 10)
Maximum F4 (0, 7, 0, 16, 12)
Data all arrays

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


Pareto optimal designs

There are 10 Pareto optimal designs in 10 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
1 1241 20 19 (0, 0, 0, 25, 10) 1.00 1.000 1.000 17.147 16.693 1.788 1.206 Yes 10
0 1164 20 19 (0, 0, 1, 25, 9) 1.16 1.000 1.000 17.120 16.609 1.786 1.207 Yes 12
3 1747 20 19 (0, 0, 2, 21, 12) 1.16 1.000 1.000 17.118 16.675 1.795 1.271 Yes 14
2 1724 20 19 (0, 0, 3, 21, 11) 1.32 1.000 1.000 17.091 16.599 1.793 1.274 Yes 12
4 1759 20 19 (0, 0, 5, 21, 9) 1.64 1.000 1.000 17.035 16.424 1.790 1.276 Yes 20
5 1766 20 19 (0, 0, 6, 21, 8) 1.80 1.000 1.000 17.008 16.366 1.788 1.284 Yes 20
6 1771 19 17 (0, 0, 8, 21, 6) 2.12 1.000 1.000 16.952 16.211 1.784 1.288 Yes 9
9 1780 20 19 (0, 0, 8, 21, 6) 2.12 1.000 1.000 16.952 16.190 1.784 1.285 Yes 20
7 1777 19 16 (0, 0, 9, 21, 5) 2.28 1.000 1.000 16.925 16.137 1.783 1.292 Yes 9
8 1778 18 15 (0, 0, 14, 21, 0) 3.08 1.000 1.000 16.786 15.706 1.774 1.295 Yes 8


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