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If I carry out a Kruskal Wallis test and the result comes out as significant, how do I then go about describing those differences and also which groups the difference is present between? For example if I have group A, B and C and I get signiciant difference Do I carry out a certain test for A + B, A + C? Or do I just report percentages/medians? Keep in mind my data was likert scale which I have converted into 1-5 numbers for the purpose of this analysis
Thanks
You could do Wilcoxon 2-sample tests ad hoc to determine what differences among groups significant result with K-W implies. You should use some method to avoid 'false discovery' with repeated testing on the same data.
The Bonferroni method can be too conservative (unlikely to declare differences) if you have many ad hoc comparisons. But to compare A with B and B with C would be be only two. Then you would want to declare significant differences only for Wilcoxon P-values < 2.5%.
