KnowraNeyman–Pearson lemmaLinked fromLinked fromThe 8 pages that link to Neyman–Pearson lemma, each with the reason it gives.All 8Broader topic 3Related 5Null hypothesisRelated: It frames null testing as a decision between specified hypotheses with controlled error rates.Likelihood ratioRelated: It shows why thresholding a likelihood ratio gives an optimal test in this setting.Frequentist statisticsRelated: It grounds the decision-theoretic approach to frequentist hypothesis testing.Egon PearsonBroader topic: It gives a precise result within the testing theory Pearson co-developed.Jerzy NeymanBroader topic: Neyman and Egon Pearson established an optimality principle for hypothesis tests.Null hypothesis significance testingBroader topic: It underpins the power-and-error framework incorporated into fixed-threshold testing.Frequentist inferenceRelated: It formalizes optimality within the error-rate framework of frequentist hypothesis testing.Detection theoryRelated: It establishes the optimal test when false alarms are constrained.