Cluster-level statistical permutation test

1. What is permutation test in statistics?
2. How do I report permutation test results?

What is permutation test in statistics?

A permutation test (also called re-randomization test) is an exact statistical hypothesis test making use of the proof by contradiction. A permutation test involves two or more samples. The null hypothesis is that all samples come from the same distribution. .

How do I report permutation test results?

To denote permuted results, we will add a * to the labels: T^*=x_{Unattractive*}−x_Average*. We then compare the T_obs=x_Unattractive−x_Average= 1.84 to the distribution of results that are possible for the permuted results (T*) which corresponds to assuming the null hypothesis is true.