Bayesian Analysis of Graphical Models of Marginal Independence for Three Way Contingency Tables

Claudia Tarantola; Ioannis Ntzoufras

This paper deals with the Bayesian analysis of graphical models of marginal independence for three way contingency tables. Each marginal independence model corresponds to a particular factorization of the cell probabilities and a conjugate analysis based on Dirichlet prior can be performed. We illustrate a comprehensive Bayesian analysis of such models, involving suitable choices of prior parameters, estimation, model determination, as well as the allied computational issues. The posterior distributions of the marginal log-linear parameters is indirectly obtained using simple Monte Carlo schemes. The methodology is illustrated using two real data sets.

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Year of publication:	2012
Authors:	Tarantola, Claudia ; Ntzoufras, Ioannis
Publisher:	Pavia : University of Pavia, Department of Economics and Quantitative Methods
Subject:	graphical models \| marginal log-linear parameterization \| Monte Carlo computation \| order decomposability \| power prior approach \| Bayes-Statistik \| Bayesian inference \| Monte-Carlo-Simulation \| Monte Carlo simulation \| Schätztheorie \| Estimation theory \| Deskriptive Statistik \| Descriptive statistics \| Statistische Methodenlehre \| Statistical theory