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Rimini discussion
1) The document discusses Bayesian testing and model choice, arguing that the 21st century belongs to Bayesian statistics. 2) It introduces Bayesian tests which are constructed from a decision-theoretic perspective to minimize expected loss. 3) Bayes factors are discussed as a function of posterior probabilities that allows comparison of alternative hypotheses without choosing a prior probability. Bayes factors provide a scale to assess the strength of evidence against a null hypothesis. 4) Issues with improper prior distributions and noninformative priors are addressed, justifying their use in certain situations. Changes to Bayes factors when the null hypothesis has zero prior probability are also described.
