Some identities on qn-m designs with application to minimum aberration designs

• 成果类型: Article
• 署名作者: Suen, CY; Chen, H; Wu, CFJ
• 署名单位: University System of Ohio; Cleveland State University; University System of Ohio; Case Western Reserve University; University of Michigan System; University of Michigan
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• 发表日期: 1997
• 页码: 1176-1188
• 关键词: fractional factorial-designs

摘要

Chen and Hedayat and Tang and Wu studied and characterized minimum aberration 2(n-m) designs in terms of their complemetary designs. Based on a new and more powerful approach, we extend the study to identify minimum aberration q(n-m) designs through their complementary designs. By using MacWilliams identities and Krawtchouk polynomials in coding theory, we obtain some general and explicit relationships between the wordlength pattern of a q(n-m) design and that of its complementary design. These identities provide a powerful tool for characterizing minimum aberration q(n-m) designs. The case of q = 3 is studied in more details.