This paper uses the control function to develop a framework for testing for selection bias. The idea behind our … magnitude of potential selection bias. Averaging this correction term with respect to appropriate weights yields the degree of … selection bias for alternative treatment effects of interest. One advantage of our framework is that it motivates when is …

We characterize the bias of propensity score based estimators of common average treatment effect parameters in the case … situations, even when selection is only on observables. -- Treatment effects ; propensity score ; bias ; unconfoundedness …