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In frequentist hypothesis testing, the $p$-value is the probability of a result as extreme (or more) than the observed result, under the assumption that the null hypothesis is true.
2
votes
How to permute p-values?
Your core question is: "This brings up a question: how can we ensure these 30 results are not generated by random events?"
I should point out that both the t.test and p.adjust already do this. The t.t …