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q-value - CBCB

q-value Tiffany Chao Beth Johnson Steven Lee Hypothesis testing Test for each gene null hypothesis: no differential expression Two kinds of errors type I error (false positive). say that a gene is differentially expressed when it actually isn't; wrongly reject a true null hypothesis type II error (false negative). say that a gene isn't differentially expressed when it actually is; fail to reject a false null hypothesis Thinking about p-values Probability of obtaining a test statistic at least as extreme as the one that was actually observed, assuming the null hypothesis is true Minimum false positive rate at which an observed statistic can be called significant If null hypothesis is simple, then a null p- value is uniformly distributed Multiple co

Algorithm for Determining q-Values Compute test statistic (p-value) for m genes Estimate π0 Using histogram Find region where p-values are uniform + set λ Count p-values > λ and compute (1-λ)m (number of

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