Exact Logistic Regression for Small Sample Size Research: An Example by R Language

Abstract

Logistic regression has been applied to medical and public health included health education and health behaviors researches. The estimation of model parameter needs the asymptotic theory which required large sample size. However, the small sample size, spare, skew and completely separation cause the bias or the model cannot converse. Exact logistic regression has been implemented in those situations. There are many procedures for exact method, R language use Markov Chain Monte Carlo for estimating exact logistic regression. This academic article presented data analysis and comparison of results between exact and conventional logistic regression.