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

  • Cristiano Bocci Department of Information Engineering and Mathematics University of Siena Siena, Italy
  • Fabio Rapallo Dipartimento di Scienze e Innovazione Tecnologica, Universita' del Piemonte Orientale, Italy [current Editorial Board member; also AS2015 special volume issue Guest Editor 2015-2016]


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.

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