I am running Kruskal-Wallis tests in SPSS to compare answers to Likert items among 3 (variable 1) and 4 (variable 2) groups. I am not running ANOVAs because assumptions of normality and homoscedasticity are often violated, and because my data is ordinal (totally disagree, disagree, somewhat disagree etc.). Sample sizes are around 50 for variable 1, but range from 17 to 90 for variable 2. My questions are:
- Is Kruskal-Wallis the appropriate test?
- Very often, the Kruskal Wallis test gives me a significant result (p < .05) but when I look at the pairwise comparisons (in the SPSS model viewer), the adjusted p-values are not significant (the non-adjusted p values are significant). I'm really confused about how to interpret and report this. Should I use the non-adjusted p values? Or should I use a different post-hoc test (available in SPSS)?