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Clustering Population Means Under Heterogeneity of Variance with an Application to a Rainfall Time Series Problem

Paul S. P. Cowpertwait and Trevor F. Cox
Journal of the Royal Statistical Society. Series D (The Statistician)
Vol. 41, No. 1 (1992), pp. 113-121
Published by: Wiley for the Royal Statistical Society
DOI: 10.2307/2348642
Stable URL: http://www.jstor.org/stable/2348642
Page Count: 9
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Clustering Population Means Under Heterogeneity of Variance with an Application to a Rainfall Time Series Problem
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Abstract

This paper introduces a statistic that may be used to cluster population means when the variances of the populations are unequal. The statistic proposed can be used in place of the $F$ ratio test in the analysis of variance, and in place of the multiple comparison procedures that usually follow. To illustrate the use of the statistic, an example is taken from a regression problem in current rainfall time series research.

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