Abstract #300630

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JSM 2003 Abstract #300630
Activity Number: 354
Type: Topic Contributed
Date/Time: Wednesday, August 6, 2003 : 10:30 AM to 12:20 PM
Sponsor: General Methodology
Abstract - #300630
Title: Generalized Solutions in Growth Curve Models and Multivariate Bioassays
Author(s): Shu-Hui Lin*+ and Jack C. Lee
Companies: National Taichung Institute of Technology and National Chiao Tung University
Address: #390 7F-5, Wen-Shin South 2 Rd., Taichung, , 408, Taiwan
Keywords: generalized p values ; growth curve ; Heteroscedasticity ; multivariate bioassay
Abstract:

Heteroscedasticity is one of the major practical problems in linear models. Conventional methods do not always provide exact solutions to even some simple problems involving nuisance parameters. As a result, practitioners often resort to asymptotic results in search of approximate solutions even such approximations are known to perform rather poorly with typical sample sizes. This paper will provide exact tests in growth curve models and construct generalized confidence intervals for the relative potency in multivariate bioassays. Our approaches are based on the concepts of the generalized p values and generalized confidence intervals proposed by Tsui and Weerahandi (1989) and Weerahandi (1993), respectively. Numerical examples are given to demonstrate the advantages of our procedures. According to our findings, tests based on generalized p values without the assumption of identical variance are much more practical than tests with this assumption.

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