8.6 The general linear model revisited

8.6.1 An informative prior for the general linear model

This section follows on from Section 6.7 on ‘The general linear model’ and like that section presumes a knowledge of matrix theory.

We suppose as in that section that

Unnumbered Display Equation

(where  is r-dimensional, so  is  ), but this time we take a non-trivial prior for  , namely

Unnumbered Display Equation

(where  is s-dimensional, so  is  ). If the hyperparameters are known, we may as well take r=s and  , and in practice dispense with , but although for ...

Get Bayesian Statistics: An Introduction, 4th Edition now with O’Reilly online learning.

O’Reilly members experience live online training, plus books, videos, and digital content from 200+ publishers.