JSM 2004 - Toronto

Abstract #302074

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Activity Number: 233
Type: Contributed
Date/Time: Tuesday, August 10, 2004 : 12:00 PM to 1:50 PM
Sponsor: General Methodology
Abstract - #302074
Title: Multiple Comparisons Using Medians
Author(s): Scott J. Richter*+ and Melinda H. McCann
Companies: University of North Carolina, Greensboro and Oklahoma State University
Address: Mathematical Sciences, Greensboro, NC, 27402,
Keywords: simultaneous inference ; pairwise comparisons ; median difference ; permutation test
Abstract:

We investigate properties of simultaneous pairwise comparison procedures based on permutation tests and median statistics. Nemyani (1963) and Levy (1979) outlined an exact method, based on Mood's median test, for simultaneous pairwise comparisons of medians, using as the reference distribution the permutation distribution of the maximum of the pairwise Mood statistics. Hochberg and Tamhane (1987) suggest that this method is not valid since it is based on the permutation distribution derived by permuting freely across all treatments. They suggest a valid test must be based on permuting only within pairs of treatments being compared. We propose a similar procedure based on differences between medians instead of Mood statistics. We investigate the power and Type I error rate properties of the tests under both methods of permuting.

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