OPTIMAL CROSS-OVER DESIGNS FOR FULL INTERACTION MODELS

• 成果类型: Article
• 署名作者: Bailey, R. A.; Druilhet, P.
• 署名单位: University of London; Queen Mary University London; University of St Andrews; Universite Clermont Auvergne (UCA)
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/14-AOS1247
• 发表日期: 2014
• 页码: 2282-2300
• 关键词: self

摘要

We consider repeated measurement designs when a residual or carry-over effect may be present in at most one later period. Since assuming an additive model may be unrealistic for some applications and leads to biased estimation of treatment effects, we consider a model with interactions between carryover and direct treatment effects. When the aim of the experiment is to study the effects of a treatment used alone, we obtain universally optimal approximate designs. We also propose some efficient designs with a reduced number of subjects.