scholarly journals Minimal and minimal invariant Markov bases of decomposable models for contingency tables

Bernoulli ◽  
2010 ◽  
Vol 16 (1) ◽  
pp. 208-233 ◽  
Author(s):  
Hisayuki Hara ◽  
Satoshi Aoki ◽  
Akimichi Takemura
Keyword(s):  
Contingency Tables ◽  
Markov Bases

scholarly journals Markov bases and toric ideals for some contingency tables

2016 ◽  
Author(s):  
N. F. Mohammed ◽  
I. S. Rakhimov ◽  
M. Shitan
Keyword(s):  
Contingency Tables ◽  
Toric Ideals ◽  
Markov Bases

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

2019 ◽  
Vol 10 (1) ◽  
pp. 13-29 ◽  
Author(s):  
Cristiano Bocci ◽  
Fabio Rapallo
Keyword(s):  
Linear Models ◽  
Contingency Tables ◽  
Real Data ◽  
Exact Tests ◽  
Exact Test ◽  
Markov Bases ◽  
Symmetry Model ◽  
Log Linear

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.

An Introduction to the Analysis of Contingency Tables

1993 ◽  
Vol 38 (8) ◽  
pp. 797-798
Author(s):  
Stephen E. Fienberg
Keyword(s):  
Contingency Tables
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