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A new three-sample non-parametric statistical test with its special case equivalent to the Whitney test
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 17 (2014) no. 4, pp. 389-397 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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G. I. Salov. A new three-sample non-parametric statistical test with its special case equivalent to the Whitney test. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 17 (2014) no. 4, pp. 389-397. http://geodesic.mathdoc.fr/item/SJVM_2014_17_4_a6/

[1] Calov G. I., “Novyi statisticheskii kriterii dlya zadach s dvumya i tremya vyborkami, bolee moschnyi, chem kriterii Vilkoksona i Uitni”, Avtometriya, 47:4 (2011), 58–70

[2] Calov G. I., “O moschnosti odnogo novogo statisticheskogo kriteriya i dvukhvyborochnogo kriteriya Vilkoksona”, Avtometriya, 50:1 (2014), 44–59

[3] Whitney D. R., “A bivariate extension of the U statistic”, Annals of Mathematical Statistic, 22 (1951), 274–282 | DOI | MR | Zbl

[4] Mann H. B., Whitney D. R., “On a test of whether one of two random variables is stochastically larger than the other”, Annals of Mathematical Statistic, 18 (1947), 50–60 | DOI | MR | Zbl

[5] Calov G. I., “O moschnosti neparametricheskikh kriteriev dlya obnaruzheniya protyazhennykh ob'ektov na sluchainom fone”, Avtometriya, 1997, no. 3, 60–75

[6] Wilks S. S., “Order statistics”, Bull. Amer. Math. Soc., 54 (1948), 5–50 | DOI | MR

[7] Dvait G. B., Tablitsy integralov i drugie matematicheskie formuly, Nauka, M., 1977