Some Results on Minimum Aberration Mixed-level (2~r)2~n Factorial Designs  

作　　者：SHI Cheng-tang ZHANG Dan CHEN Bao-ting LI Yu-kai 

机构地区：[1]Department of Trade and Economics, Zhengzhou Electric Power College, Zhengzhou 450004, China [2]Department of Basic Course, Henan Vocational College of Economy and Trade, Zhengzhou 450053, China [3]Henan Province Computer Center, Zhengzhou 450008, China

出　　处：《Chinese Quarterly Journal of Mathematics》2007年第1期79-86,共8页数学季刊（英文版）

基　　金：Supported by NNSF of China(10231030)

摘　　要：Mukerjee and Wu（2001） employed projective geometry theory to find the wordlength pattern of a regular mixed factorial design in terms of its complementary set, but only for the numbers of words of length 3 or 4. In this paper, by introducing a concept of consulting design and based on the connection between factorial design theory and coding theory, we obtain some combinatorial identities that relate the wordlength pattern of a regular mixed-level （2^r）2^n factorial design to that of its consulting design. Consequently, a general rule for identifying minimum aberration （2^r）2^n factorial designs through their consulting designs is established. It is an improvement and generalization of the related result in Mukerjee and Wu（2001）.

关 键 词：coding theory consulting design minimum aberration MIXED-LEVEL REGULAR wordlength pattern 

分 类 号：O212.6[理学—概率论与数理统计]