Exact tests to compare contingency tables under quasi-independence and quasi-symmetry

Abstract

In this work we define log-linear models to compare several square contingency tables under the quasi-independence or the quasi-symmetry model, and the relevant Markov bases are theoretically characterized. Through Markov bases, an exact test to evaluate if two or more tables fit a common model is introduced. Two real-data examples illustrate the use of these models in different fields of applications.

arXiv comment14 pages, 4 figures, 2 tables