Quantile Regression and MannU test for median difference 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.


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.
