I have used permutation tests to analyse some data (specifically, the
perm.test() function in R's
exactRankTests package). I understand that permutation tests are effectively repeated iterations on parametric tests. However, I have used permutation tests because my data are not normally distributed.
I believe that showing my raw data using median-based box and whisker plots (in a scientific publication) would be more informative. However, since I've used permutation t-tests, would it be more 'correct' to report mean / standard error and the corresponding plots? Or, is it entirely up to me how I display the data?
Example of box and whisker plot:
The same data, shown as means and standard error: