Design of order-of-addition experiments
成果类型：
Article
署名作者：
Peng, Jiayu; Mukerjee, Rahul; Lin, Dennis K. J.
署名单位：
Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park; Indian Institute of Management (IIM System); Indian Institute of Management Calcutta; Pennsylvania Commonwealth System of Higher Education (PCSHE); Pennsylvania State University; Pennsylvania State University - University Park
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
DOI：
10.1093/biomet/asz025
发表日期：
2019
页码：
683694
关键词：
摘要：
In an order-of-addition experiment, each treatment is a permutation of m components. It is often unaffordable to test all the m! possible treatments, and thus the design problem arises. We consider a flexible model that incorporates the order of each pair of components and can also account for the distance between the two components in every such pair. Under this model, the optimality of the uniform design measure is established, via the approximate theory, for a broad range of criteria. Coupled with an eigenanalysis, this result serves as a benchmark that paves the way for assessing the efficiency and robustness of any exact design. The closed-form construction of a class of robust optimal fractional designs that can also facilitate model selection is explored and illustrated.
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