Optimal repeated measurements designs: The linear optimality equations

• 成果类型: Article
• 署名作者: Kushner, HB
• 署名单位: Nathan Kline Institute for Psychiatric Research
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• 发表日期: 1997
• 页码: 2328-2344
• 关键词: crossover designs; correlated errors

摘要

In approximate design theory, necessary and sufficient conditions that a repeated measurements design be universally optimal are given as linear equations whose unknowns are the proportions of subjects on the treatment sequences. Both the number of periods and the number of treatments in the designs are arbitrary, as is the covariance matrix of the normal response model. The existence of universally optimal symmetric designs is proved; the single linear equation which the proportions satisfy is given. A formula for the information matrix of a universally optimal design is derived.