Multiple comparison of several linear regression models

• 成果类型: Article
• 署名作者: Liu, W; Jamshidian, M; Zhang, Y
• 署名单位: University of Southampton; University of Southampton; California State University System; California State University Fullerton; State University System of Florida; University of Central Florida
• 刊物名称: JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
• ISSN/ISSBN: 0162-1459
• DOI: 10.1198/016214504000000395
• 发表日期: 2004
• 页码: 395-403
• 关键词: simultaneous confidence sets; STABILITY

摘要

Research on multiple comparison during the past 50 years or so has focused mainly on the comparison of several population means. Several years ago. Spurrier considered the multiple comparison of several simple linear regression lines. He constructed simultaneous confidence bands for all of the contrasts of the simple linear regression lines over the entire range (-infinity, infinity) when the models have the same design matrices. This article extends Spurrier's work in several directions. First. multiple linear regression models are considered and the design matrices are allowed to be different. Second. the predictor variables are either unconstrained or constrained to finite intervals. Third, the types of comparison allowed can be very flexible, including pairwise. many-one, and successive. Two simulation methods are proposed for the calculation of critical constants. The methodologies are illustrated with examples.