OPTIMAL CROSSOVER DESIGNS FOR THE PROPORTIONAL MODEL

• 成果类型: Article
• 署名作者: Zheng, Wei
• 署名单位: Purdue University System; Purdue University; Purdue University in Indianapolis
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/13-AOS1148
• 发表日期: 2013
• 页码: 2218-2235
• 关键词: universal optimality

摘要

In crossover design experiments, the proportional model, where the carryover effects are proportional to their direct treatment effects, has draw attentions in recent years. We discover that the universally optimal design under the traditional model is E-optimal design under the proportional model. Moreover, we establish equivalence theorems of Kiefer-Wolfowitz's type for four popular optimality criteria, namely A, D, E and T (trace).