Kruskal Wallis Test Interpretation. This test is the nonparametric equivalent of the one way anova and is typically used when the normality assumption is violated. Both the kruskal wallis test and one way anova assess for significant differences on a continuous dependent variable by a categorical independent variable with two or more groups.
You need to inspect the group means or medians to decide precisely how they differ. Exercise does seem to reduce self reported ratings of depression. It is important to realize that the kruskal wallis h test is an omnibus test statistic and cannot tell you which specific groups of your independent variable are statistically significantly different from each other.
Kruskal wallis is used when researchers are comparing three or more independent groups on a continuous outcome but the assumption of homogeneity of variance between the groups is violated in the anova analysis.
It is important to realize that the kruskal wallis h test is an omnibus test statistic and cannot tell you which specific groups of your independent variable are statistically significantly different from each other. 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. To determine whether any of the differences between the medians are statistically significant compare the p value to your significance level to assess the null hypothesis. However in this particular case the interpretation seems fairly straightforward.
