Doing Bayesian Data Analysis, 2nd Edition

Chapter 12

Bayesian Approaches to Testing a Point (“Null”) Hypothesis

Contents

12.1. The Estimation Approach   336

12.1.1 Region of practical equivalence   336

12.1.2 Some examples   340

12.1.2.1 Differences of correlated parameters   340

12.1.2.2 Why HDI and not equal-tailed in terval?   342

12.2. The Model-Comparison Approach   343

12.2.1 Is a coin fair or not?   344

12.2.1.1 Bayes' factor can accept null with poor precision   347

12.2.2 Are different groups equal or not?   348

12.2.2.1 Model specification in JAGS   351

12.3. Relations of Parameter Estimation and Model Comparison   352

12.4. Estimation or Model Comparison?   354

12.5. Exercises   355

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