Optimal fractional factorial plans for main effects and specified two-factor interactions: A projective geometric approach

• 成果类型: Article
• 署名作者: Dey, A; Suen, CY
• 署名单位: Indian Statistical Institute; Indian Statistical Institute Delhi; University System of Ohio; Cleveland State University
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• 发表日期: 2002
• 页码: 1512-1523
• 关键词: 2-factor interactions; designs

摘要

Finite projective geometry is used to obtain fractional factorial plans for m-level symmetrical factorial experiments, where m is a prime or a prime power. Under a model that includes the mean, all main effects and a specified set of two-factor interactions, the plans are shown to be universally optimal within the class of all plans involving the same number of runs.