Kruskal Wallis Test Critical Value Table. The kruskal wallis test is appropriate when you have non parametric data and one predictor. The kruskal wallis non parametric hypothesis test 1952 is a nonparametric analog of the one way analysis of variance it is generally used when the measurement variable does not meet the normality assumptions of one way anova it is also a popular nonparametric test to compare outcomes among three or more independent unmatched groups.
The kruskal wallis test by ranks kruskal wallis h test named after william kruskal and w. We look up our critical value in the chi square table and find a critical value of plus minus 5 99. Df k 1 where k number of groups.
Critical values for kruskal wallis test statistic 3 samples sample size h 0 9000 h 0 9500 h 0 9750 h 0 9900 h 0 9950 h 0 9975 h 0 9990 2 2 1 3 6000 2 2 2 3 7143 4 5714 3 2 1 4 2857 3 2 2 4 4643 4 5000 5 3571 3 3 1 4 5714 3 3 2 4 5556 5 1389 5 5556 6 2500 3 3 3 4 6222 5 6000 5 9556 6 4889 4 2 1 4 0179 4 8214 4 2 2 4 4583 5 1250 5 3333 6 0000 4 3 1 3 8889 5 4000 5 3889 4 3 2 4 4444 5 4000 5 8000 6 3000 6 4444 7 0000 4 3 3 4.
In this case there are three groups k 3 and df 3 1 2. 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. Small sample critical values for the kruskal wallis test 1 table 1. Pas e era t 200 o ero 2 ese e.
