We study here two different approaches to model a cluster structure in contingency tables. From a classical independence model, we consider an additional pattern structure given by a family of subsets of cells where we allow a specific mean parameter. We encode such structure through mixture models and loglinear models, and we compare the...
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2013 (v1)PublicationUploaded on: April 14, 2023
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2017 (v1)Publication
In this work we define a test to compare several square contingency tables under the quasi-symmetry model. Working within the class of log-linear models, we present a suitable model and an exact test to verify if two or more tables fit a common quasi-symmetry model. The exact test is then defined through classical tools of Algebraic Statistics,...
Uploaded on: April 14, 2023 -
2005 (v1)Publication
We study the geometric structure of the statistical models for two-by-two contingency tables. One or two odds ratios are fixed and the corresponding models are shown to be a portion of a ruled quadratic surface or a segment. Some pointers to the general case of two-way contingency tables are also given and an application to case-control studies...
Uploaded on: April 14, 2023