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

Consider two matched independent series of binomial variates whose odds ratios are assumed constant, i.e. ψ = (p1iq2i)/(p2iq1i)(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.