Projection justification of generalized minimum aberration for asymmetrical fractional factorial designs

Ming-Yao Ai () and Run-Chu Zhang ()

Metrika: International Journal for Theoretical and Applied Statistics, 2004, vol. 60, issue 3, 279-285

Abstract: Recently, Xu and Wu (2001) presented generalized minimum aberration criterion for comparing and selecting general fractional factorial designs. This criterion is defined using a set of χ u (D) values, called J-characteristics by us. In this paper, we find a set of linear equations that relate the set of design points to that of J-characteristics, which implies that a factorial design is uniquely determined by its J-characteristics once the orthonormal contrasts are designated. Thereto, a projection justification of generalized minimum aberration is established. All of these conclusions generalize the results for two-level symmetrical factorial designs in Tang (2001). Copyright Springer-Verlag 2004

Keywords: Asymmetrical; fractional factorial design; generalized minimum aberration; nonregular; projection property (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/s001840300310

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