For OR θ̂ = NA,caseNB,con/(NA,conNB,case), the uncorrected 95% confidence interval (CI) is estimated by the Woolf’s formula: [l, u] = [elog θ̂−1.96σ̂(log θ̂), elog θ̂+1.96σ̂(log θ̂)], with σ̂(log θ̂) = (1/NA,case + 1/NB,case + 1/NA,con + 1/NB,con)0.5. This can be corrected in a similar way by replacing NA,case,NB,case with αNA,case and αNB,case: (11)σ^e(logθ^)=(1αNA,case+1αNB,case+1NA,con+1NB,con)1/2.
