## Bayesian Selection of Log-Linear Models (1995)

Venue: | Canadian Journal of Statistics |

Citations: | 7 - 2 self |

### BibTeX

@ARTICLE{Albert95bayesianselection,

author = {James H. Albert},

title = {Bayesian Selection of Log-Linear Models},

journal = {Canadian Journal of Statistics},

year = {1995},

volume = {24},

pages = {327--347}

}

### OpenURL

### Abstract

A general methodology is presented for finding suitable Poisson log-linear models with applications to multiway contingency tables. Mixtures of multivariate normal distributions are used to model prior opinion when a subset of the regression vector is believed to be nonzero. This prior distribution is studied for two and three-way contingency tables, in which the regression coefficients are interpretable in terms of odds-ratios in the table. Efficient and accurate schemes are proposed for calculating the posterior model probabilities. The methods are illustrated for a large number of two-way simulated tables and for two three-way tables. These methods appear to be useful in selecting the best log-linear model and in estimating parameters of interest that reflect uncertainty in the true model. Key words and phrases: Bayes factors, Laplace method, Gibbs sampling, Model selection, Odds ratios. AMS subject classifications: Primary 62H17, 62F15, 62J12. 1 Introduction 1.1 Bayesian testing...