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Tarantola, Claudia
Ntzoufras, Ioannis
Year of Publication: 
Series/Report no.: 
Quaderni di Dipartimento 172
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.
graphical models
marginal log-linear parameterization
Monte Carlo computation
order decomposability
power prior approach
Document Type: 
Working Paper

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