RANDOMIZATION-BASED MODELS FOR MULTITIERED EXPERIMENTS: I. A CHAIN OF RANDOMIZATIONS

• 成果类型: Article
• 署名作者: Bailey, R. A.; Brien, C. J.
• 署名单位: University of St Andrews; University of London; Queen Mary University London; University of South Australia; Australian Centre for Plant Functional Genomics; University of Adelaide
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/15-AOS1400
• 发表日期: 2016
• 页码: 1131-1164
• 关键词: orthogonal block structure; decomposition tables; DESIGN; formulas

摘要

We derive randomization-based models for experiments with a chain of randomizations. Estimation theory for these models leads to formulae for the estimators of treatment effects, their standard errors and expected mean squares in the analysis of variance. We discuss the practicalities in fitting these models and outline the difficulties that can occur, many of which do not arise in two-tiered experiments.