Kruskal Wallis Test Interpretation. 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. 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.
The kruskal wallis test is a nonparametric distribution free test and is used when the assumptions of one way anova are not met. 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. Note that the kruskal wallis test merely tells you that the groups differ in some way.
Complete the following steps to interpret a kruskal wallis test.
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. 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. The kruskal wallis test is the non parametric equivalent of an anova analysis of variance. However in this particular case the interpretation seems fairly straightforward.
