An Overview of the Bayesian Approach

David J. Spiegelhalter, Keith R. Abrams, Jonathan P. Myles · 2003

This chapter contains sections titled: Subjectivity and Context Bayes Theorem for Two Hypotheses Comparing Simple Hypotheses: Likelihood Ratios and Bayes Factors Exchangeability and Parametric Modelling* Bayes Theorem for General Quantities Bayesian Analysis with Binary Data Bayesian Analysis with Normal Distributions Point Estimation, Interval Estimation and Interval Hypotheses The Prior Distribution How to Use Bayes Theorem to Interpret Trial Results The "Credibility" of Significant Trial Results* Sequential Use of Bayes Theorem* Predictions Decision-making Design Use of Historical Data Multiplicity, Exchangeability and Hierarchical Models Dealing with Nuisance Parameters* Computational Issues Schools of Bayesians A Bayesian Checklist Further Reading Key Points Exercises

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