INTERPRETING BLOCKS AND RANDOM FACTORS

• 成果类型: Review
• 署名作者: SAMUELS, ML; CASELLA, G; MCCABE, GP
• 刊物名称: JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
• ISSN/ISSBN: 0162-1459
• DOI: 10.2307/2290415
• 发表日期: 1991
• 页码: 798-808
• 关键词: 2-way mixed model; alternative formulations; genetic correlation; EFFICIENCY; variance

摘要

Can blocks be tested in a randomized blocks design? It is well known that two different formulations of the linear mixed model yield conflicting answers to this question. This article examines the model formulations from the point of view of statistical relevance. Viewing blocking as a device to increase efficiency leads to a hypothesis concerning blocks that is distinct from the hypothesis of no block main effect. Relevant tests and interval estimates are reviewed. The merits of the two model formulations are compared, and recommendations are made to enhance the clarity and heuristic usefulness of mixed linear models.