To study similarities among the set of rows -and columns- of a contingency table, Correspondence Analysis uses chi-squared distances between row profiles -and column profiles- of that table. This article presents a factor analysis for the study of a set of contingency tables in which, unlike...

We present a new approach to handle dependencies within the general framework of case-control designs, illustrating our approach by a particular application from the field of genetic epidemiology. The method is derived for parent-offspring trios, which will later be relaxed to more general...

Exact, resampling, and Pearson type III permutation methods are provided to compute probability values for Piccarreta's nominal-ordinal index of association. The resampling permutation method provides good approximate probability values based on the proportion of resampled test statistic values...

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....

From data in the form of a two-way contingency table “Regions _ Sectors”, the concepts of specialization and concentration, built from the analysis of conditional distributions or profiles, is based on discrepancies among distributions: between profiles and a uniform distribution for...

A conjugate and conditional conjugate Bayesian analysis is presented for bi-directed discrete graphical models, which are used to describe and estimate marginal associations between categorical variables. To achieve this, each bi-directed graph is re-expressed by a Markov equivalent, over the...