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August 2001 Generalized minimum aberration for asymmetrical fractional factorial designs
C. F. J. Wu, Hongquan Xu
Ann. Statist. 29(4): 1066-1077 (August 2001). DOI: 10.1214/aos/1013699993


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 model-free. 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 $G_2$-aberration criterion for two-level 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 (4) 1066 - 1077, August 2001.


Published: August 2001
First available in Project Euclid: 14 February 2002

zbMATH: 1012.62083
MathSciNet: MR1869240
Digital Object Identifier: 10.1214/aos/1013699993

Primary: 62K15
Secondary: 62K05

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

Rights: Copyright © 2001 Institute of Mathematical Statistics


Vol.29 • No. 4 • August 2001
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