Open Access
Translator Disclaimer
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


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.


Download Citation

Huaiqing Wu. C. F. J. Wu. "Clear two-factor interactions and minimum aberration." Ann. Statist. 30 (5) 1496 - 1511, October 2002.


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

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

Primary: 62K15

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

Rights: Copyright © 2002 Institute of Mathematical Statistics


Vol.30 • No. 5 • October 2002
Back to Top