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.