Structure function for aliasing patterns in 2l-n design with multiple groups of factors

• 成果类型: Article
• 署名作者: Zhu, Y
• 署名单位: Purdue University System; Purdue University
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/aos/1056562471
• 发表日期: 2003
• 页码: 995-1011
• 关键词: minimum-aberration; optimal blocking; 2(n-k) designs; terms

摘要

A general approach to studying fractional factorial designs with multiple groups of factors is proposed. A structure function is generated by the defining contrasts among different groups of factors and the remaining columns. The structure function satisfies a first-order partial differential equation. By solving this equation, general results about the structures and properties of the designs are obtained. As an important application, practical rules for the selection of optimal single arrays for robust parameter design experiments are derived.