Conditional inference given partial information in contingency tables using Markov bases

2013 ◽  
Vol 5 (3) ◽  
pp. 207-218 ◽  
Author(s):  
Vishesh Karwa ◽  
Aleksandra Slavkovic
Keyword(s):  
Partial Information ◽  
Contingency Tables ◽  
Conditional Inference ◽  
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 Connectivity for 3 x 3 x K contingency tables

2011 ◽  
Vol 2 (1) ◽  
Author(s):  
Toshio Sumi ◽  
Toshio Sakata
Keyword(s):  
Contingency Tables ◽  
Conditional Inference ◽  
Markov Basis ◽  
Conditional Test ◽  
Marginal Tables

We consider an exact sequential conditional test for three-way conditional test of nointeraction. At each time , the test uses as the conditional inference frame the set F(H ) of alltables with the same three two-way marginal tables as the obtained table H . For 33K tables,we propose a method to construct F(H ) from F(H􀀀1). This enables us to perform ecientlythe sequential exact conditional test. The subset S of F(H ) consisting of s + H 􀀀 H􀀀1 fors 2 F(H􀀀1) contains H , where the operations + and 􀀀 are dened elementwise. Our argumentis based on the minimal Markov basis for 3 3 K contingency tables and we give a minimalsubset M of some Markov basis which has the property that F(H ) = fs 􀀀 m j s 2 S ;m 2 Mg.

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 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.

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