Clear two-factor interactions and minimum aberration

Huaiqing Wu · Changbao Wu

65 citations0/0 files storedThe Annals of Statistics

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Optimal Experimental Design Methods Advanced Combinatorial Mathematics Statistical Methods and Applications

Abstract

Wu and Hamada recommend selecting resolution IV designs with the maximum number of clear two-factor interactions (2FIs), called MaxC2 designs. In this paper, we develop a method by using graphical representations, combinatorial and group-theoretic arguments to prove if a given design is a MaxC2 design. In particular, we show that all known minimum aberration designs with resolution IV are MaxC2 designs (except in six cases) and that the second $2^{9-4}$, $2^{13-7}$, $2^{16-10}$ and $2^{17-11}$ designs given in Wu and Hamada are MaxC2 designs. The method also enables us to identify new MaxC2 designs that are too large to be verified by computer search.

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References

2001Experiments - Planning, Analysis and Parameter Design Optimization 1980Minimum Aberration 2 k-p Designs 1993A Catalogue of Two-Level and Three-Level Fractional Factorial Designs with Small Runs 1999Minimum Aberration and Model Robustness for Two-Level Fractional Factorial Designs 1992Some Results on $2^{n - k}$ Fractional Factorial Designs and Search for Minimum Aberration Designs 19982n−m designs with resolution III or IV containing clear two-factor interactions

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