Significance Tests for Saturated Orthogonal Arrays

Abstract

Experimental designs used in industry often allow no degrees of freedom for the estimation of error. Nevertheless, analysis of variance results can (if used properly) be used to determine which factors are significant. We give a back-of-the-envelope calculation for making this determination, intended for practitioners desiring a convenient, anova-based analysis. Power comparisons show that competing methods, regardless of computational complexity, have remarkably similar operating characteristics.