Non-parametric 2 sample t-test

[Melk]

I want to test the difference in "central tendency" - for lack of a better word- of 2 samples where 1 is realtively normal looking and the other is highly skewed to the right. Normally, I would just use a wilcoxon rank sum test, but I read that the 2 distributions must be similar in shape. Since mine are not, what test is appropriate?

[Ksharp]

Since  wilcoxon rank sum test is a non-parameter test. It doesn't matter what distribution your data have.

wilcoxon rank sum test can handle any distribution. Or you would like compare the median of them ?

I remember @Rick_SAS wrote a bolg about it before .

[Rick_SAS · Accepted solution]

I agree with KSharp: it sounds like you can use PROC NPAR1WAY for this analysis.

The blog post he refers to shows that you can use PROC QUANTREG for a two-sample test of the difference between arbitrary quantiles. It can also provide confidence intervals for the quantiles.