As titled, I ran a MWU test on my test results but I'm not sure what I'm supposed to report. My results section currently looks like this. Help?
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$\begingroup$ Here is an incantation to ward off close-voters: stats.meta.stackexchange.com/q/3132/1352 $\endgroup$– Stephan KolassaCommented Apr 18, 2021 at 16:00
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1$\begingroup$ Have you checked whether this particular test is covered in the APA Publication Manual? $\endgroup$– Stephan KolassaCommented Apr 18, 2021 at 16:01
2 Answers
I would suggest you report the statistic ($U$) and the $p$ value. That is usually sufficient. If the reviewers want $z$ scores or anything else as well, they will tell you. But that should be enough information to get past the first hurdle.
And of course, I would recommend that you check the APA Publication Manual, which I don't have with me, but which may indeed cover this particular test in its sheer comprehensiveness.
Stephan's answer is pretty good, but APA also recommends reporting standardized effect sizes, even though sometimes they're not as important as they seem to be. Looks like you have the $r$ value that pertains to the $z$ approximation to the $U$ statistic, which is discussed in this paper by Fritz, Morris, & Richler (2012) as a good effect size measure to use.