Scientific inference requires both deductive and inductive inference
Three main approaches to inductive inference are used
Fisherian induction uses the P-value as a measure of evidence against the null hypothesis
Neyman-Pearson induction controls the long-run decision risk over repeated experiments
Bayesian induction obtains direct probabilistic measures of evidence from the posterior distribution
A P-value is the probability of observing a result as extreme or more extreme than that observed, assuming the null hypothesis is true
The Type I error rate is the probability of incorrectly rejecting...
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