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Statistics review 14: Logistic regression

Viv Bewick1*, Liz Cheek1 and Jonathan Ball2

Author Affiliations

1 Senior Lecturer, School of Computing, Mathematical and Information Sciences, University of Brighton, Brighton, UK

2 Senior Registrar in ICU, Liverpool Hospital, Sydney, Australia

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Critical Care 2005, 9:112-118 doi:10.1186/cc3045

Published: 13 January 2005

Abstract

This review introduces logistic regression, which is a method for modelling the dependence of a binary response variable on one or more explanatory variables. Continuous and categorical explanatory variables are considered.

Keywords:
binomial distribution; Hosmer–Lemeshow test; likelihood; likelihood ratio test; logit function; maximum likelihood estimation; median effective level; odds; odds ratio; predicted probability; Wald test