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The effects of the violations normality and homogeneity variances assumptions on power one-way ANOVA F-test is studied in this paper. Simulation experiments were conducted to compare parametric with non-parametric Kruskal‒Wallis (KW) test normal/non-normal, equal/unequal scenarios sample group means. Each these 184 simulation was replicated N = 1000 times obtained for both F KW tests. Shapiro‒W...

In a multi-group experimental design where interest is in a univariate response, the nonparametric Kruskal-Wallis test [Kniskal and Wallis (1952)] provides a potentially more powerful alternative to the parametric one-way analysis of variance when the assumptions of normality are in question. For multivariate response, Puri and Sen (1966) proposed a generalization of the KmskalWallis test that ...