Clear Two-Factor Interactions and Minimum Aberration

Clear Two-Factor Interactions and Minimum Aberration

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 desi...

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Veröffentlicht in:The Annals of statistics 2002-10, Vol.30 (5), p.1496-1511
Hauptverfasser: Wu, Huaiqing, Wu, C. F. J.
Format: Artikel
Sprache:eng
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Experimental Design
Factorial design
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Sciences and techniques of general use
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Zusammenfassung: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 29-4, 213-7, 216-10and 217-11designs 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.
ISSN:0090-5364
2168-8966
DOI:10.1214/aos/1035844985