On connectivity of fibers with positive marginals in multiple logistic regression

Hisayuki Hara, Akimichi Takemura and Ruriko Yoshida

Journal of Multivariate Analysis, 2010, vol. 101, issue 4, 909-925

Abstract: In this paper we consider exact tests of a multiple logistic regression with categorical covariates via Markov bases. In many applications of multiple logistic regression, the sample size is positive for each combination of levels of the covariates. In this case we do not need a whole Markov basis, which guarantees connectivity of all fibers. We first give an explicit Markov basis for multiple Poisson regression. By the Lawrence lifting of this basis, in the case of bivariate logistic regression, we show a simple subset of the Markov basis which connects all fibers with a positive sample size for each combination of levels of covariates.

Keywords: Contingency; tables; Lawrence; lifting; Markov; bases; MCMC; Segre; product (search for similar items in EconPapers)
Date: 2010
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Citations: View citations in EconPapers (3)

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