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Robust statistics for testing equality of means or variances
Authors:M.L. Tiku
Affiliation:Department of Mathematical Sciences , McHaster University , Hamilton, Canada
Abstract:For testing the equality of means (location parameters) of two populations, Tiku (1980a) defined a statistic Tc (based on symmetrically censored samples) and showed that this statistic is robust to underlying populations and is also remarkably powerful. In this paper, we define a similar statistic T (based on samples s with observations censored only on one side) and show that this stat is tic is more powerful than T and nonparametric statistics, C for skew populations. We also provide a modification of this statistic for testing the equality of two population variances.
Keywords:adaptive inference  point estimation  nonparametric tests  peakedness  tail length  skewed
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