Kruskal Wallis Test Critical Value Table. Iv the critical value for the kruskal wallis test comparing k groups comes from an χ 2 distribution with k 1 degrees of freedom and α 0 05. It is used for comparing two or more independent samples of equal or different sample sizes.
Allen wallis or one way anova on ranks is a non parametric method for testing whether samples originate from the same distribution. In this case there are three groups k 3 and df 3 1 2. Since the p value of the test 0 21342 is not less than 0 05 we fail to reject the null hypothesis.
The distribution of the kruskal wallis test statistic approximates a chi square distribution with k 1 degrees of freedom if the number of observations in each group is 5 or more.
Df k 1 where k number of groups. P e 2 e e 2 e 2 2 2 e 2 2 2 2 2 2 1 1 r e e e 2 e e 2 2 2 s 2 2 2 2 2 2 2 2 s s 2 2 2 s s 2 2 s s s e 2 s 2 s s s s 2 s s s s 2 s 2 s s 2 s s e. The kruskal wallis test is appropriate when you have non parametric data and one predictor. Small sample critical values for the kruskal wallis test 1 table 1.
