Chapter 7 Multivariate regression

We describe how to perform Bayesian inference in multivariate response models, including multivariate regression, seemingly unrelated regression, instrumental variables, and the multivariate probit model. In particular, we present the posterior distributions of the parameters and demonstrate several applications and simulations. Additionally, we show how to perform inference in these models using three levels of programming skills: GUI, packages, and programming the algorithms from scratch. Finally, we provide some mathematical and computational exercises.

Remember that we can run our GUI typing shiny::runGitHub("besmarter/BSTApp", launch.browser=T) in the R console or any R code editor and execute it. However, users should see Chapter 5 for details.