Abstract #302142

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JSM 2003 Abstract #302142
Activity Number: 63
Type: Contributed
Date/Time: Sunday, August 3, 2003 : 4:00 PM to 5:50 PM
Sponsor: Section on Statistical Computing
Abstract - #302142
Title: A Robust Bootstrap Test for the Equality of Several Medians
Author(s): Angelo J. Canty*+ and Appaswamy Padmanabhan
Companies: McMaster University and Concordia University
Address: Dept. of Math and Statistics, Hamilton, Ontario, L8S 4K1, Canada
Keywords: nonparametric bootstrap ; Mann-Whitney statistic ; analysis of variance ; heteroscedasticity
Abstract:

Babu and Padmanabhan (2002) proposed a robust bootstrap solution to the Behrens-Fisher problem. We show that this method can be extended to the test of equality of several medians. The basic assumption is that the data come from a location-scale family but no assumptions on the shape of the underlying distribution are made. An extensive Monte Carlo simulation study will be presented to illustrate the power of the test against "umbrella alternatives" (Mack and Wolfe 1981) and "pattern alternatives" (Hettmansperger and Norton 1987). We shall also give some theoretical results to justify the method asymptotically. These results constitute a multisample generalization of those in Babu and Padmanabhan (2002) and the asymptotics follow along the same lines as in that paper.

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