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若干非参数独立性检验的临界值与经验功效比较AI 解读

A class of nonparametric tests based on the third quadrant layer ranks has recently been studied by Woodworth [12] in connection with the problem of testing for independence in a bivariate distribution. In this article exact one-sided rejection regions are tabulated for the normal score layer rank test which is asymptotically locally most powerful for positive dependence in the bivariate normal distribution. The cut-off points are tabulated for sample sizes n = 4(1)9 and…

若干非参数独立性检验的临界值与经验功效比较AI 解读

A class of nonparametric tests based on the third quadrant layer ranks has recently been studied by Woodworth [12] in connection with the problem of testing for independence in a bivariate distribution. In this article exact one-sided rejection regions are tabulated for the normal score layer rank test which is asymptotically locally most powerful for positive dependence in the bivariate normal distribution. The cut-off points are tabulated for sample sizes n = 4(1)9 and…

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Hodges 双变量符号检验与圆周分布均匀性检验AI 解读

Ajne (1968) studied a test N for uniformity of a circular distribution. Although his problem was apparently quite different from testing about location of a bivariate distribution to which Hodges's sign test applies, the two tests are, in fact, identical. The null distribution and tables for the N test developed by Ajne in 1968 are essentially a duplication of those for Hodgea's test given earlier (1955–1962). Also it is shown that the Rayleigh test is locally most powerful…