Recommended confidence intervals for the conditional odds ratio in matched-pairs designs

There has been limited research on the confidence intervals of the conditional odds ratio in matched-pairs design. This article investigates the interval estimation of the conditional odds ratio. We described several confidence intervals, which are available in some situations, and they can produce different results. We tried to determine which method(s) should be recommended for different situations. We derived four confidence intervals from the delta test, the score test, the inferential model test, and the fiducial test, and employed four exact calculation studies to compare the performances of the four methods, in order to make recommendations for small and moderate-to-large sample sizes. All of the methods are illustrated using a real example. And we offered the recommendations for different situations.