I perform and interpret the output for a Kruskall-Wallis in SPSS, including the estimation of effect size and post-hoc testing (i.e., multiple comparisons). I also demonstrate how to test the assumption of homogeneity of variance based on a non-parametric version of Levene’s test. It is a misconception that the Kruskall-Wallis test and the Mann-Whitney U test do not assume homogeneity of variance. They do not, however, assume normally distributed data.
The reference for post-hoc testing without using a