Conference designs C(16, 8)

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	77
Minimum/Maximum rank of model matrix with 2FI and QE	15/16
Minimum/Maximum rank of model matrix for 2FI	14/15
Minimum B4	3.5000
Maximum B4	8.7500
Minimum F4	(0, 10, 22, 38)
Maximum F4	(14, 0, 14, 42)
Data	all arrays

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

Pareto optimal designs

There are 11 Pareto optimal designs in 11 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	4	16	15	(0, 10, 22, 38)	3.88	0.857	0.393	12.073	5.087	1.445	0.350	Yes	16
9	53	16	15	(0, 10, 23, 37)	3.94	0.857	0.393	12.069	5.085	1.446	0.357	Yes	16
8	52	16	15	(1, 6, 23, 40)	3.50	0.900	0.571	12.677	7.394	1.517	0.525	Yes	16
3	33	16	15	(3, 4, 17, 46)	3.75	0.900	0.536	12.700	6.945	1.511	0.458	Yes	16
5	39	16	15	(3, 4, 18, 45)	3.81	0.900	0.536	12.696	6.942	1.512	0.465	Yes	16
1	10	16	15	(3, 4, 19, 44)	3.88	0.900	0.554	12.693	7.169	1.513	0.492	Yes	16
2	13	16	15	(3, 4, 20, 43)	3.94	0.900	0.554	12.689	7.167	1.514	0.498	Yes	16
4	38	16	15	(4, 2, 16, 48)	3.75	0.914	0.589	12.907	7.639	1.533	0.505	Yes	16
6	48	16	15	(4, 2, 17, 47)	3.81	0.914	0.571	12.903	7.406	1.534	0.492	Yes	16
7	50	16	15	(6, 0, 14, 50)	4.25	0.914	0.571	12.915	7.409	1.531	0.485	Yes	16
10	75	15	14	(6, 0, 22, 42)	4.75	0.914	0.571	12.883	7.389	1.540	0.538	No	8

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