Characterization of minimum aberration 2(n-k) designs in terms of their complementary designs

• 成果类型: Article
• 署名作者: Tang, BI; Wu, CFJ
• 署名单位: University of Michigan System; University of Michigan
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• 发表日期: 1996
• 页码: 2549-2559
• 关键词: fractional factorial-designs

摘要

A general result is obtained that relates the word-length pattern of a 2(n-k) design to that of its complementary design. By applying this result and using group isomorphism, we are able to characterize minimum aberration 2(n-k) designs in terms of properties of their complementary designs. The approach is quite powerful for small values of 2(n-k) - n - 1. In particular, we obtain minimum aberration 2(n-k) designs with 2(n-k) - n - 1 = 1 to 11 for any n and h.