A measure of association is row-size invariant if it is unaffected by the mutliplication of all entries in a row of a cross-classi…cation table by a same positive number. It is class-size invariant if it is unaffected by the mutliplication of all entries in a class (i.e., a row or a column). We...

We propose a conjugate and conditional conjugate Bayesian analysis of models of marginal independence with a bi-directed graph representation. We work with Markov equivalent directed acyclic graphs (DAGs) obtained using the same vertex set with the addition of some latent vertices when required....