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...Permutation randomization tests computer intensive methods for hypothesis testing used when distribution of the test statistic under null is unknown and we can do resampling maintain type i error level without any large sample approximations assumptions if size small you enumerate all possible permutations generate a random summer institutes module session summary restate scientific question as statistical hypotheses choose reasonable that quantifies deviations from resample data assuming true compute each resampled set compare observed value to generated in step false discovery rate reject fail f m alternative t s positive p idea control q instead values are hedenfalk et al height line gives estimated proportion y n e d pvalue exercise name at least two other statistics could be h pv pp...