In a Kruskal-Wallis test,if the null hypothesis of no relationship between the independent variable and the dependent variable is true,we would expect the mean ranks for the three conditions to be different,within the constraints of sampling error.

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If the null hypothesis of no relationship between the independent variable and the dependent variable is true, we would expect the mean ranks for the three conditions to be similar, within the constraints of sampling error. The Kruskal-Wallis test is used to determine if there are significant differences in the medians of more than two groups.

In a Kruskal-Wallis Test,if the Null Hypothesis of No Relationship