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October 2002 Clear two-factor interactions and minimum aberration
Huaiqing Wu, C. F. J. Wu
Ann. Statist. 30(5): 1496-1511 (October 2002). DOI: 10.1214/aos/1035844985

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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Huaiqing Wu. C. F. J. Wu. "Clear two-factor interactions and minimum aberration." Ann. Statist. 30 (5) 1496 - 1511, October 2002. https://doi.org/10.1214/aos/1035844985

Information

Published: October 2002
First available in Project Euclid: 28 October 2002

zbMATH: 1015.62083
MathSciNet: MR1936328
Digital Object Identifier: 10.1214/aos/1035844985

Subjects:
Primary: 62K15

Keywords: Alias set , Defining contrast subgroup , resolution , word-length pattern

Rights: Copyright © 2002 Institute of Mathematical Statistics

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Vol.30 • No. 5 • October 2002
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