Clear two-factor interactions and minimum aberration

• 成果类型: Article
• 署名作者: Wu, HQ; Wu, CFJ
• 署名单位: Iowa State University; University of Michigan System; University of Michigan
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• 发表日期: 2002
• 页码: 1496-1511
• 关键词: designs; 2-level; search

摘要

Wu and Hamada recommend selecting resolution IV designs with the maximum number of clear two-factor interactions (2FIs), called MaxC2 designs. In this paper, we develop a method by using graphical representations, combinatorial and group-theoretic arguments to prove if a given design is a MaxC2 design. In particular, we show that all known minimum aberration designs with resolution IV are MaxC2 designs (except in six cases) and that the second 2(9-4), 2(13-7), 2(16-10) and 2(17-11) designs given in Wu and Hamada are MaxC2 designs. The method also enables us to identify new MaxC2 designs that are too large to be verified by computer search.