Kruskal Wallis Test Equation. Displaystyle n 1 n n 1 12 and. For more details see hollander and wolfe 1973 2.
H frac 12 n n 1 bigg frac sum i 1 k t i 2 n i 3 n 1 bigg. R 1 2 n 1 displaystyle bar r tfrac 1 2 n 1 is the average of all the. If the data contain no ties the denominator of the expression for.
If the data contains ties a correction can be used by dividing h by.
Under the null hypothesis the chi square distribution with k 1 degrees of freedom approximates the distribution of h and h adj. 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. Displaystyle r ij. The kruskal wallis test is a nonparametric distribution free test and is used when the assumptions of one way anova are not met.
