Two-Level Orthogonal Screening Designs With 24, 28, 32, and 36 Runs

B-Tier
Journal: Journal of the American Statistical Association
Year: 2017
Volume: 112
Issue: 519
Pages: 1354-1369

Authors (3)

Eric D. Schoen (not in RePEc) Nha Vo-Thanh (not in RePEc) Peter Goos

Score contribution per author:

0.670 = (α=2.01 / 3 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

The potential of two-level orthogonal designs to fit models with main effects and two-factor interaction effects is commonly assessed through the correlation between contrast vectors involving these effects. We study the complete catalog of nonisomorphic orthogonal two-level 24-run designs involving 3–23 factors and we identify the best few designs in terms of these correlations. By modifying an existing enumeration algorithm, we identify the best few 28-run designs involving 3–14 factors and the best few 36-run designs in 3–18 factors as well. Based on a complete catalog of 7570 designs with 28 runs and 27 factors, we also seek good 28-run designs with more than 14 factors. Finally, starting from a unique 31-factor design in 32 runs that minimizes the maximum correlation among the contrast vectors for main effects and two-factor interactions, we obtain 32-run designs that have low values for this correlation. To demonstrate the added value of our work, we provide a detailed comparison of our designs to the alternatives available in the literature. Supplementary materials for this article are available online.

Technical Details

RePEc Handle
repec:taf:jnlasa:v:112:y:2017:i:519:p:1354-1369
Journal Field
Econometrics
Author Count
3
Added to Database
2026-01-25