In this article, we review a Markov chain Monte Carlo (MCMC) algorithm for performing conditional inference in contingency tables in the presence of partial information using Markov bases, a key tool arising from the area known as algebraic statistics. We review applications of this algorithm to the problems of conditional exact tests, ecological inference, and disclosure limitation and illustrate how these problems fall naturally in the setting of inference with partial information. We also discuss some issues associated with computing Markov bases which are needed as an input to the algorithm.
|Original language||English (US)|
|Number of pages||12|
|Journal||Wiley Interdisciplinary Reviews: Computational Statistics|
|State||Published - May 2013|
All Science Journal Classification (ASJC) codes
- Statistics and Probability