Exact Analysis for Paired Binary Data

This paper provides an efficient algorithm to generate exact distributions for the bivariate logistic model with common and sub-unit-specific covariates. The algorithm can be used to analyze correlated paired binary response data from studies lacking a large sample size. Possible applications include a clinical trial with two distinct binary outcomes, a binary outcome cross-over or two-time point cohort study, and a pair-matched prospective study with binary outcome. Analysis of data from an ophthalmologic study is provided to illustrate the method. Extension to three or more correlated binary responses is also outlined.