Ioannis Ntzoufras

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Bayesian Analysis of

Marginal Log-Linear Graphical Models

for Three Way Contingency Tables

 

Ioannis Ntzoufras  

&

Claudia Tarantola

Department of Statistics,

Athens University of Economics and Business,

Athens, GREECE;

e-mail: ntzoufras@aueb.gr.

 
Department of Economics and Quantitative Methods,
Faculty of Economics,
University of Pavia, Pavia, ITALY,
e-mail: claudia.tarantola@unipv.it

   

SYNOPSIS

This paper deals with the Bayesian analysis of graphical models of marginal independence for three way contingency tables. We use a marginal log-linear parameterization, under which the model is defined through suitable zero-constraints on the interaction parameters calculated within marginal distributions. We undertake a comprehensive Bayesian analysis of these models, involving suitable choices of prior distributions, estimation, model determination, as well as the allied computational issues. The methodology is illustrated with reference to two real data sets.

Keywords graphical models, marginal log-linear parametrization, Monte Carlo computation, order decomposability, power prior approach.

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Last revised: 17/02/2019