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Characterization of minimum aberration mixed factorials in terms of consulting designs. (English) Zbl 1083.62072
Summary: By introducing the concept of consulting designs and based on the connection between factorial design theory and coding theory, we obtain combinatorial identities that relate the wordlength pattern of a regular mixed factorial design to that of its consulting design. According to these identities, we furthermore establish general and unified rules for identifying minimum aberration mixed factorial designs through their consulting designs. This is an improvement and generalization of the results in R. Mukerjee and C. F. J. Wu [Stat. Sin. 11, No. 1, 225–239 (2001; Zbl 0967.62054)].

MSC:
62K15 Factorial statistical designs
62K05 Optimal statistical designs
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