The study compared different statistical tests to see which ones were better at controlling errors and finding differences in data. The results showed that when variances were similar, the permutation versions of the tests were more reliable in protecting against errors. The permutation F test was slightly more powerful than the regular F test when variances were similar and data was skewed. The Welch test was better at finding differences when variances were similar, while the permutation Welch test was slightly better when variances were different, except for certain sample sizes.