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非正态备择下若干两样本位置检验的比较AI 解读

Summary Small to moderate sample size performance of the two-sample χ2, Kolmogorov–Smirnov, Wilcoxon and F-tests of location is investigated in a class of non-normal distributions through Monte Carlo sampling. The class of distributions is that of mixtures of two normal distributions with different means and/or variances. The cases of mixtures considered represent part of the regions for types I, II, IV, VI and VII of the Pearson system of continuous distributions. The…

双样本 Kolmogorov–Smirnov 统计量的精确与近似抽样分布AI 解读

The size of errors of the Smirnov approximation to the exact null distribution of the two sample Kolmogorov-Smirnov criterion Dmn, m≤n is investigated. It is shown that a sample size n of 100 is necessary before the overestimating effect of the Smirnov distribution becomes negligible. Several improvements over the Smirnov approximation are considered. With continuity correction of order of , the Smirnov approximation accomplishes for n = 50 about what it does for n = 100…

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