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K    =    [ 12 Σ Si2 ] 3(N + 1)
N(N + 1) ni
where
  • K is the Kruskal-Wallis test statistic which approximates to the χ2 distribution for values of ni greater than 5,
  • N is the total number of observations across all groups,
  • Si is the sum of ranks of observations in the ith sample,
  • ni is the number of observations in group i.