Moment Aberration Projection for Nonregular Fractional Factorial Designs

Hongquan Xu · Lih‐Yuan Deng

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Optimal Experimental Design Methods Advanced Combinatorial Mathematics Advanced Statistical Methods and Models

Abstract

Nonregular fractional factorial designs, such as Plackett–Burman designs, are widely used in industrial experiments for run size economy and flexibility. A novel criterion, called moment aberration projection, is proposed to rank and classify nonregular designs. It measures the goodness of a design through moments of the number of coincidences between the rows of its projection designs. The new criterion is used to rank and classify designs of 16, 20, and 27 runs. Examples are given to illustrate that the ranking of designs is supported by other design criteria.

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1946THE DESIGN OF OPTIMUM MULTIFACTORIAL EXPERIMENTS 1980Minimum Aberration 2 k-p Designs 1992Analysis of Designed Experiments with Complex Aliasing 1962Some Systematic Supersaturated Designs 1961The 2 k-p Fractional Factorial Designs Part I 2001Generalized minimum aberration for asymmetrical fractional factorial designs 1993A Catalogue of Two-Level and Three-Level Fractional Factorial Designs with Small Runs 1992Projection Properties of Plackett and Burman Designs

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