Exact logistic regression: Theory and examples

Authors

  • Cyrus R. Mehta,

    1. Department of Biostatistics, Harvard School of Public Health, U.S.A., and Cytel Software Corporation, 675 Massachusetts Ave., Cambridge, MA 02139, U.S.A.
    Search for more papers by this author
  • Nitin R. Patel

    1. Department of Biostatistics, Harvard School of Public Health, U.S.A., and Cytel Software Corporation, 675 Massachusetts Ave., Cambridge, MA 02139, U.S.A.
    Search for more papers by this author

Abstract

We provide an alternative to the maximum likelihood method for making inferences about the parameters of the logistic regression model. The method is based appropriate permutational distributions of sufficient statistics. It is useful for analysing small or unbalanced binary data with covariates. It also applies to small-sample clustered binary data. We illustrate the method by analysing several biomedical data sets.

Ancillary