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April 2001 Generalized minimum aberration for asymmetrical fractional factorial designs
C.F.J. Wu, Hongquan Xu
Ann. Statist. 29(2): 549-560 (April 2001). DOI: 10.1214/aos/1009210552

Abstract

By studying treatment contrasts and ANOVA models, we propose a generalized minimum aberration criterion for comparing asymmetrical fractional factorial designs. The criterion is independent of the choice of treatment contrasts and thus model­free. It works for symmetrical and asymmetrical designs, regular and nonregular designs. In particular, it reduces to the minimum aberration criterion for regular designs and the minimum G2 ­aberration criterion for two­level nonregular designs. In addition, by exploring the connection between factorial design theory and coding theory, we develop a complementary design theory for general symmetrical designs, which covers many existing results as special cases.

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C.F.J. Wu. Hongquan Xu. "Generalized minimum aberration for asymmetrical fractional factorial designs." Ann. Statist. 29 (2) 549 - 560, April 2001. https://doi.org/10.1214/aos/1009210552

Information

Published: April 2001
First available in Project Euclid: 24 December 2001

zbMATH: 1012.62083
MathSciNet: MR1863969
Digital Object Identifier: 10.1214/aos/1009210552

Subjects:
Primary: 62K05 , 62K15

Keywords: ANOVA , distance distribution , MacWilliams transforms , minimum aberration , orthogonal arrays , wordlength pattern

Rights: Copyright © 2001 Institute of Mathematical Statistics

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Vol.29 • No. 2 • April 2001
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