Markov Bases for Typical Block Effect Models of Two-way Contingency Tables

Details Markov Bases for Typical Block Effect Models of Two-way Contingency Tables Markov Bases for Typical Block Effect Models of Two-way Contingency Tables

2011-12-19

arxiv.org/abs/1112.4310v1

Mathematics

Statistics Theory

16 pages

Scientific paper

Markov basis for statistical model of contingency tables gives a useful tool for performing the conditional test of the model via Markov chain Monte Carlo method. In this paper we derive explicit forms of Markov bases for change point models and block diagonal effect models, which are typical block-wise effect models of two-way contingency tables, and perform conditional tests with some real data sets.

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