I am looking to determine whether two medians are not equal and attempt to estimate the median difference between the two. From my research, I have found this can be done by performing the Wilcoxon Mann u test and quantile regression. However, I am confused on interrupting the for results each. Below if my data, code for both, results, and interpretation.

I think I am in the right direction but, having trouble with the median difference estimate interpretation for a write up. Is how I described the MannU appropriate? I believe I understand that it is not a test of median difference but whether they are not equal.

Happy to clarify anything that may have been unclear and appreciate the support. Using SAS, npar1way and proc quantreg.

Mann U (npar1way)    median a    median b    median diff     pval (kruskalW) hodgeL
Interpretation  601 642 41  0.01    issue getting to load
Median A and Median B are considered to be significantly different (difference=41, p<.05) as determined by the mannU test
Quantile regression median a    median b    median diff     pval
Interpretation  601 642 34 (-74 - 143.78)   0.524
Median A and Median B are not considered to be significantly different (difference= 34.5 (-74.7 - 143.78), p=.52) as determined by quantile regression


1 Answer 1


Simply, the Wilcoxon-Mann-Whitney test is not in general a test of medians. If you want to test the medians, you can use quantile regression, Mood's median test, or an appropriate permutation test.


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