Class C(16, 8)

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.