ON MSE-OPTIMAL CROSSOVER DESIGNS

• 成果类型: Article
• 署名作者: Neumann, Christoph; Kunert, Joachim
• 署名单位: Dortmund University of Technology
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/17-AOS1644
• 发表日期: 2018
• 页码: 2939-2959
• 关键词: balanced designs

摘要

In crossover designs, each subject receives a series of treatments one after the other. Most papers on optimal crossover designs consider an estimate which is corrected for carryover effects. We look at the estimate for direct effects of treatment, which is not corrected for carryover effects. If there are carryover effects, this estimate will be biased. We try to find a design that minimizes the mean square error, that is, the sum of the squared bias and the variance. It turns out that the designs which are optimal for the corrected estimate are highly efficient for the uncorrected estimate.