Below are my data - small samples (n=22; n=14). The gaps in the histograms are just due to small sample sizes. In the parent population, data are normal looking with a very long stretched out right-tail. (

What are the pros and cons to using a permutation test looking at mean differences? Should I do this with medians instead? Also, what are alternatives beyond Wilcoxon-style tests?

Here is the output from the permutation test with 500,000 iterations (doesn't seem too bad), vertical reference line represents the observed mean difference. Any suggestions on written interpretation of results that could be used by lay-person? Thx.

**EDIT: Of note, distributions are left-side bounded by zero)**What are the pros and cons to using a permutation test looking at mean differences? Should I do this with medians instead? Also, what are alternatives beyond Wilcoxon-style tests?

Here is the output from the permutation test with 500,000 iterations (doesn't seem too bad), vertical reference line represents the observed mean difference. Any suggestions on written interpretation of results that could be used by lay-person? Thx.

**EDIT: "**Probability of a difference in means between groups at least as extreme as the observed difference given the null hypothesis is true."
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