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Biometrika 1976 63(1):173-176; doi:10.1093/biomet/63.1.173
© 1976 by Biometrika Trust
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A class of location-scale nonparametric tests

B. S. DURAN, W. S. TSAI * and T. O. LEWIS

Department of Mathematics, Texas Tech University Lubbock

A class of two-sample nonparametric tests for location and scale shift, simultaneously, is proposed. The asymptotic distribution of the proposed class is obtained both under the hypothesis and alternative. Using this result it is shown how the asymptotic relative efficiency of tests in the proposed class can be obtained.

Key Words: Asymptotic relative efficiency • Location-scale test • Noncentral chi-squared • Non-parametric test • Translation invariant statistic


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