Characterization of minimum aberration mixed factorials in terms of consulting designs |
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Authors: | Mingyao Ai Runchu Zhang |
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Institution: | (1) LMAM, School of Mathematical Sciences, Peking University, 100871 Beijing, P.R. China;(2) LPMC and School of Mathematical Sciences, Nankai University, 300071 Tianjin, P.R. China |
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Abstract: | In this paper, by introducing a concept of consulting design 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 further-more establish the general and unified rules for
identifying minimum aberration mixed factorial designs through their consulting designs. It is an improvement and generalization
of the results in Mukerjee and Wu (2001).
This paper is supported by NNSF of China grant No. 10171051 and RFDP grant No. 1999005512. |
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Keywords: | Primary 62K15 Secondary 62K05 |
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