The Annals of Statistics

Clear two-factor interactions and minimum aberration

C. F. J. Wu and Huaiqing Wu

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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.

Article information

Source
Ann. Statist., Volume 30, Number 5 (2002), 1496-1511.

Dates
First available in Project Euclid: 28 October 2002

Permanent link to this document
https://projecteuclid.org/euclid.aos/1035844985

Digital Object Identifier
doi:10.1214/aos/1035844985

Mathematical Reviews number (MathSciNet)
MR1936328

Zentralblatt MATH identifier
1015.62083

Subjects
Primary: 62K15: Factorial designs

Keywords
Alias set defining contrast subgroup resolution word-length pattern

Citation

Wu, Huaiqing; Wu, C. F. J. Clear two-factor interactions and minimum aberration. Ann. Statist. 30 (2002), no. 5, 1496--1511. doi:10.1214/aos/1035844985. https://projecteuclid.org/euclid.aos/1035844985


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  • AMES, IOWA 50011-1210 E-MAIL: isuhwu@iastate.edu DEPARTMENT OF STATISTICS UNIVERSITY OF MICHIGAN
  • ANN ARBOR, MICHIGAN 48109-1285 E-MAIL: jeffwu@umich.edu