Are there standards for reporting non-parametric test results? pretty basic question here. I'm pretty sure similar questions have been asked before (if you have any references that may help, you can send them too). Thanks in advance!
I conducted some Wilcoxon tests and would like to report the results in a table. Is it wrong to report the data as means +/- standard deviations, since I used non-parametric tests? I've been told it's standard to report the data as medians + ranges.
 A: There is nothing wrong with means +/- standard deviations as alternative to median/range. It is primarily a matter of the overall presentation.
I think for presenting Wilcoxon Signed-rank test results somewhat like:
"The WSRT suggested that the median sample B ranks (10.4) were statistically significant lower than the median sample A ranks (31.0); $N$= 1015, $p<0.01$." is adequate. This briefly outlines our null hypothesis is that $a - b$ comes from a distribution with zero median (or a bit more formally that their paired rank differences are symmetrically distributed around zero) and can be immediately put in a table format.
We can report the test statistic $W$ or the standard error associated with it but it is a bit redundant as most of the information associated with it can be seen in the $p$-value. Given that our data might be somewhat skewed, we might report the interquartile range (IQR) as a non-parametric alternative to the spread of values but again that mostly a matter of personal preference.
