Doing Bayesian Data Analysis, 2nd Edition

Chapter 9

Hierarchical Models

Contents

9.1 A Single Coin from a Single Mint   223

9.1.1 Posterior via grid approximation   226

9.2 Multiple Coins from a Single Mint   230

9.2.1 Posterior via grid approximation   231

9.2.2 A realistic model with MCMC   235

9.2.3 Doing it with JAGS   239

9.2.4 Example: Therapeutic touch   240

9.3 Shrinkage in Hierarchical Models   245

9.4 Speeding up JAGS   249

9.5 Extending the Hierarchy: Subjects Within Categories   251

9.5.1 Example: Baseball batting abilities by position   253

9.6 Exercises   260

Oh clarlin', for love, it's on you I depend.

Well, I s'pose Jack Daniels is also my friend.

But you keep him locked up in the ladies'loo,

S'pose that means his spirits depend on you too.¹

Hierarchical models are ...