On the small sample estimation of the log odds ratio in 2×2 contingency tables with one set of fixed margins

Abstract

For the analysis of 2 × 2 contingency tables with one set of fixed margins, a number of authors (e.g. Wolf, 1955; Cox, 1970) have proposed the use of various modified estimators based upon the empirical logistic transform. In this paper the moments of such estimators are considered and their small sample properties are investigated numerically.

Keywords:

• 2×2 tables
• contingency tables
• logistic model
• empirical logistic transform