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Home arrow Nonparametric Tests arrow Kruskal-Wallis Test
Kruskal-Wallis Test Print
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Kruskal-Wallis Test
post-hoc
Example

Kruskal-Wallis Test

The Kruskal-Wallis Test is a generalized U-Test for more than two groups. It tests H0 that data from k populations are not different.

Requirements:

Data must be ordinal (rank-order) scaled.

Distribution is free

Idea:

The test works like the Mann-Whintey U-Test. The data from all groups are brought together in one rank order. For each group the sum of ranks Ti and mean rank is then computed. Whereas the total sum of ranks is:

 

with

k = number of groups
N = Total Number of measurements

The test value H is computed as follows:

whereas

ni = sample size of group i

H is Chi-Square distributed with k-1 degrees of freedom

If there are tied ranks H is corrected as follows:

 

whereas

ti = Number of subjects sharing rank i
p = number of tied ranks

and

 






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