JSM 2005 - Toronto

Abstract #304687

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 51
Type: Invited
Date/Time: Sunday, August 7, 2005 : 4:00 PM to 5:50 PM
Sponsor: General Methodology
Abstract - #304687
Title: Testing Equality of Ordered Means in the General Linear Model
Author(s): Michael P. McDermott*+
Companies: University of Rochester
Address: Department of Biostatistics and Comp Biology, Rochester, NY, 14642,
Keywords: Combining dependent p-values ; Fisher's combination method ; Order restricted inference ; Partial order
Abstract:

Hypothesis-testing problems involving order constrained means arise frequently in practice. The standard approach to this problem in the one-way layout is the likelihood ratio test. In many practical settings, such as a randomized clinical trial, it is useful to include covariates in the primary statistical model. Likelihood ratio tests for equality of ordered means that incorporate covariate adjustment are complex and rarely applied in practice because of difficulties in their implementation. In this paper, a new test is proposed based on multiple contrasts among the adjusted group means. The P-values associated with these contrasts are, in general, dependent. An overall significance test is carried out using Fisher's statistic to combine the dependent P-values arising from these contrasts. The contrasts can be chosen to yield a test with high power, for alternatives at a fixed distance from the null hypothesis, throughout the restricted parameter space. The test is generally easy to implement for a variety of partial order restrictions. An example from a randomized clinical trial is used to illustrate the proposed test.


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Revised March 2005