Majorization framework for balanced lattice designs

• 成果类型: Article
• 署名作者: Zhang, AJ; Fang, KT; Li, RZ; Sudjianto, A
• 署名单位: University of Michigan System; University of Michigan; Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park; Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park; Hong Kong Baptist University; Bank of America Corporation
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/009053605000000679
• 发表日期: 2005
• 页码: 2837-2853
• 关键词: fractional factorial-designs; minimum aberration; generalized aberration; uniform designs; CONSTRUCTION

摘要

This paper aims to generalize and unity classical criteria for comparisons of balanced lattice designs, including fractional factorial designs, supersaturated designs and uniform designs. We present a general majorization framework for assessing designs, which includes a stringent criterion of majorization via pairwise coincidences and flexible surrogates via convex functions. Classical orthogonality, aberration and uniformity criteria are unified by choosing combinatorial and exponential kernels. A construction method is also sketched out.