Multiple randomizations

• 成果类型: Article
• 署名作者: Brien, C. J.; Bailey, R. A.
• 署名单位: University of South Australia; University of London
• 刊物名称: JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY
• ISSN/ISSBN: 1369-7412
• DOI: 10.1111/j.1467-9868.2006.00557.x
• 发表日期: 2006
• 页码: 571-599
• 关键词: orthogonal block structure; DESIGN; QUALITY; models

摘要

Multitiered experiments are characterized by involving multiple randomizations, in a sense that we make explicit. We compare and contrast six types of multiple randomizations, using a wide range of examples, and discuss their use in designing experiments. We outline a system of describing the randomizations in terms of sets of objects, their associated tiers and the factor nesting, using randomization diagrams, which give a convenient and readily assimilated summary of an experiment's randomization. We also indicate how to formulate a randomization-based mixed model for the analysis of data from such experiments.