ORDER-OF-ADDITION ORTHOGONAL ARRAYS TO STUDY THE EFFECT OF TREATMENT ORDERING

• 成果类型: Article
• 署名作者: Schoen, Eric D.; Mee, Robert W.
• 署名单位: KU Leuven; University of Tennessee System; University of Tennessee Knoxville
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/23-AOS2317
• 发表日期: 2023
• 页码: 1877-1894
• 关键词: designs

摘要

The effect of the order in which a set of m treatments is applied can be modeled by relative-position factors that indicate whether treatment i is carried out before or after treatment j, or by the absolute position for treatment i in the sequence. A design with the same normalized information matrix as the design with all m! sequences is D- and G-optimal for the main-effects model involving the relative-position factors. We prove that such designs are also I-optimal for this model and D-optimal as well as G- and I-optimal for the first-order model in the absolute-position factors. We propose a methodology for a complete or partial enumeration of nonequivalent designs that are optimal for both models.