Notes on Interval Estimation of Odds Ratio in Matched Pairs under Stratified Sampling

Abstract

We develop four asymptotic interval estimators and one exact interval estimator for the odds ratio (OR) under stratified random sampling with matched pairs. We apply Monte Carlo simulation to evaluate the performance of these five interval estimators. We note that the conditional score test-based interval estimator with a monotonic transformation and the interval estimator based on the Mantel–Haenszel (MH) type point estimator with the logarithmic transformation are generally preferable to the others considered here. We also note that the conditional exact confidence interval can be of use when the total number of matched pairs with discordant responses is small.

Keywords:

• Mantel–Haenszel estimator
• Matched pair
• Odds ratio
• Score test-based
• Stratified sampling
• Weighted-least-squares

Mathematics Subject Classification:

• 47N30; 62H10