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Numerical Analysis and Applications

2014 year, number 4

A new three-sample non-parametric statistical test with its special case equivalent to the Whitney test

G. I. Salov
Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Lavrentieva, 6, Novosibirsk, Russia, 630090
Keywords: three samples, homogeneity test, nonparametric statistical test

Abstract

In this paper, we propose a new non-parametric statistical test for the problem of homogeneity of three samples. We consider an alternative for which one sample values tend to be stochastically larger than every one from the two other samples values. The Whitney test is equivalent to special (linear) case of this test. Some comparisons are made for the cases with samples from exponential and uniform distributions.