# What is the proper way to report test statistics used in a permutation analysis?

In my paper, I run some ANOVAs and t-tests, and the test statistics are F and t respectively. I have reason to believe the null distributions are not normal, so I have run permutation tests and obtained p values with respect to the empirical null distributions. How do I report the results?

For example, I have observed F(1, 16) = 14.21, but it's not REALLY an F statistic with those degrees of freedom, because the real null distribution is a bit different to the theoretical distribution with those degrees of freedom. Do I still state the degrees of freedom even if the p value comes from permutation, not the theoretical F? I do still state the observed F, right, even though I'm using a permutation test to test its significance?

As for t, should I even be using t as the test statistic for the permutation analysis, or should I just be looking at something like the difference between means as the test statistic?