Interval Estimation of Odds Ratio in a Stratified Randomized Clinical Trial with Noncompliance

Abstract

It is not uncommon to encounter a randomized clinical trial (RCT) in which we need to account for both the noncompliance of patients to their assigned treatment and confounders to avoid making a misleading inference. In this paper, we focus our attention on estimation of the relative treat- ment efficacy measured by the odds ratio (OR) in large strata for a stratified RCT with noncompliance. We have developed five asymptotic interval estimators for the OR by using different techniques such as weighted least squares method and logarithmic transformation of the Mantel-Haenszel type estimators. We employ Monte Carlo simulation to evaluate the finite sample performances of the five estimators in a variety of situations.