A Kruskal-Wallis test is used to determine whether or not there is a statistically significant difference between the medians of three or more independent groups.. This test is the nonparametric equivalent of the one-way ANOVA and is typically used when the normality assumption is violated.. The Kruskal-Wallis test does not assume normality in the data and is much less sensitive to outliers.. One of the most well-known statistical tests to analyze the differences between means of given groups is the ANOVA (analysis of variance) test. While ANOVA is a great tool, it assumes that the data in question follows a normal distribution.. Kruskal-Wallis is typically used with three or more independent groups, but can be used with just two.

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The Kruskal-Wallis one-way analysis-of-variance-by-ranks test (or H test) is used to determine whether three or more independent groups are the same or different on some variable of interest when an ordinal level of data or an interval or ratio level of data is available.' A hypothetical example will be. The Kruskal Wallis test is a nonparametric hypothesis test that compares three or more independent groups. Statisticians also refer to it as one-way ANOVA on ranks. This analysis extends the Mann Whitney U nonparametric test that can compare only two groups. If you analyze data, chances are you're familiar with one-way ANOVA that compares the.