Two‐level designs of strength 3 and up to 48 runs

This article will help practitioners select strength-3 designs that are useful for screening both main effects and two-factor interactions. We calculated word-length patterns, correlations of four-factor interaction contrast vectors with the intercept, and ranks of the two-factor interaction matrices for all nonequivalent two-level orthogonal arrays of strength 3 and run sizes up to 48. Based on these characteristics, there are a limited number of designs that can be recommended for practical use.

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