Kruskal–Wallis test

[6] Since it is a nonparametric method, the Kruskal–Wallis test does not assume a normal distribution of the residuals, unlike the analogous one-way analysis of variance.

Otherwise, it is impossible to say, whether the rejection of the null hypothesis comes from the shift in locations or group dispersions.

These software programs rely on the asymptotic approximation for larger sample sizes.

[14] Meyer and Seaman (2006) produced exact probability distributions for samples as large as 105 participants.

[15] Choi et al.[16] made a review of two methods that had been developed to compute the exact distribution of

The following example uses data from Chambers et al.[17] on daily readings of ozone for May 1 to September 30, 1973, in New York City.