Weak minimum aberration and maximum number of clear two-factor interactions in 2m-p Ⅳ designs
Both the clear effects and minimum aberration criteria are the important rules for the design selection. In this paper, it is proved that some 2m-p Ⅳ designs have weak minimum aberration, by considering the number of clear two-factor interactions in the designs.And some conditions are provided, under which a 2m-p Ⅳ design can have the maximum number of clear two-factor interactions and weak minimum aberration at the same time.Some weak minimum aberration 2m-p Ⅳ designs are provided for illustrations and two nonisomorphic weak minimum aberration 213-6 Ⅳ designs are constructed at the end of this paper.
作 者： YANG Guijun LIU Minqian ZHANG Runchu 作者单位： YANG Guijun(Department of Statistics, Tianjin University of Finance and Economics, Tianjin 300222, China)LIU Minqian,ZHANG Runchu(Department of Statistics, School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China)
刊 名： 中国科学A辑（英文版） SCI 英文刊名： SCIENCE IN CHINA (MATHEMATICS) 年，卷(期)： 2005 48(11) 分类号： O4 关键词： clear weak minimum aberration resolution wordlength pattern