Point and interval estimation of the common odds ratio in the combination of 2 × 2 tables with fixed marginals

Abstract

SUMMARY Consider two matched independent series of binomial variates whose odds ratios are assumed constant, i.e. ψ = ( p 1i q 2i )/( p 2i q 1i )( i =1, …, b ). Under the assumption that all marginals in each of the 2 × 2 tables are fixed, exact and approximate methods of point and interval estimation of ψ are reviewed and derived. The methods are illustrated and compared in a numerical example.