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A class of outlier resistant two-sample scale tests

Author Affiliations

  • 1Dept. of Statistics, Karnatak University, Dharwad, Karnataka, India
  • 2Dept. of Statistics, Karnatak University, Dharwad, Karnataka, India

Res. J. Mathematical & Statistical Sci., Volume 8, Issue (1), Pages 6-15, January,12 (2020)

Abstract

A class of two-sample scale tests which is resistant to outliers of one sample is suggested. The tests are distribution-free tests based on U-statistics being functions of median and extremes of subsamples respectively drawn from first and second samples. The null and asymptotic distributions of the class of tests are obtained. The asymptotic relative efficiencies of some members of the class with respect to various tests are calculated to analyze the large sample performance. Empirical power of the proposed class of tests for various sample and subsample sizes under various distributions is computed to investigate the small sample performance.

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