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Exact logistic regression: Theory and examples
Author(s) -
Mehta Cyrus R.,
Patel Nitin R.
Publication year - 1995
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.4780141908
Subject(s) - logistic regression , covariate , binary data , statistics , binary number , computer science , sample (material) , logistic distribution , mathematics , econometrics , chemistry , arithmetic , chromatography
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.