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

摘要

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