Abstract #300027

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JSM 2003 Abstract #300027
Activity Number: 424
Type: Contributed
Date/Time: Wednesday, August 6, 2003 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract - #300027
Title: Multiple Comparison of Several Linear Regression Models
Author(s): Mortaza (Mori) Jamshidian*+ and Wei Liu and Ying Zhang
Companies: California State University and University of Southampton and University of Central Florida
Address: Department of Mathematics, Fullerton, CA, 92834,
Keywords: Linear regression; ; Simultaneous inference; ; Multiple ; Statistical simulation; ; Drug stability testing
Abstract:

Research on multiple comparison during the past 50 years or so has been mainly for the comparison of several population means. Spurrier (1999) considered the multiple comparison of several simple linear regression lines. He constructed simultaneous confidence bands for all the contrasts of the simple linear regression lines over the entire range $(-\infty, \infty)$ when the models have the same design matrices. In this article, Spurrier's (1999) work is extended in several directions. Firstly, multiple linear regression models are considered and the design matrices are allowed to be different. Secondly, the predictor variables are either unconstrained or constrained to finite intervals. Thirdly, 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.

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