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.