thank you.
one line of the PDF says:
"The Kruskal-Wallis, Friedman and Kendall, and Cochran tests use the procedure proposed by Dunn (1964) (originally designed for the Kruskal-Wallis test). The procedure uses ranks (or successes for the Cochran test) based on considering all samples rather than just the two involved in a given comparison".
So it would be user's choice whether keep using the Dunn's correction method (with p-value adjusted for bonferroni) or standard MW with manual correction with the bonferroni.
now the case is solved I believe. Thank you.
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