Computing p-values in conditional independence models for a contingency table

نویسندگان

  • Masahiro Kuroda
  • Hiroki Hashiguchi
  • Shigakazu Nakagawa
چکیده

We present a Markov chain Monte Carlo (MCMC) method for generating Markov chains using Markov bases for conditional independence models for a fourway contingency table. We then describe a Markov basis characterized by Markov properties associated with a given conditional independence model and show how to use the Markov basis to generate random tables of a Markov chain. The estimates of exact p-values can be obtained from random tables generated by the MCMC method. Numerical experiments examine the performance of the proposed MCMC method in comparison with the χ approximation using large sparse contingency tables.

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تاریخ انتشار 2009