The Kruskal & ndash; Wallis test and the Friedman test are nonparametric tests, which do not rely on an assumption of normality.
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Instead, nonparametric tests can be used, such as the Mann Whitney test for unpaired situation or the sign test for paired situation.
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He has introduced the density-based empirical likelihood approach for creating nonparametric test statistics that efficiently approximate optimal parametric Neyman-Pearson statistics using minimum distribution assumptions on data.
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The "'Durbin test "'is a nonparametric test for balanced incomplete designs that reduces to the Friedman test in the case of a complete block design.
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In statistics, the "'Cucconi test "'is a nonparametric test for jointly comparing central tendency and variability ( detecting location and scale changes ) in two samples.
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Power analysis can be used to calculate the minimum sample size required so that one can be reasonably likely to detect an effect of a given parametric and a nonparametric test of the same hypothesis.
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The Kolmogorov-Smirnov test ( K-S test ) is a nonparametric test of the equality of continuous, one-dimensional probability distributions that can be used to compare a sample with a reference probability distribution ( one-sample K S test ), or to compare two samples ( two-sample K S test ), thus, it can be used to test the comparisons of the distributions of the nine subsamples.
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