Blocking in regular fractional factorials: A projective geometric approach

• 成果类型: Article
• 署名作者: Mukerjee, R; Wu, CFJ
• 署名单位: Indian Institute of Management (IIM System); Indian Institute of Management Calcutta; University of Michigan System; University of Michigan
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• 发表日期: 1999
• 页码: 1256-1271
• 关键词: minimum aberration; 2(n-k) designs

摘要

A projective geometric characterization is given of the existence of any regular main effect s(n-k) design in s(y) blacks It leads to a constructive method for finding a maximal blocking scheme for any given fractional factorial design. A useful sufficient condition for admissible block designs is given in terms of the minimum aberration property of a certain unblocked design.