Estimation of Heterogeneous Individual Treatment Effects with Endogenous Treatments
38 Pages Posted: 26 Oct 2016
Date Written: October 23, 2016
This paper estimates individual treatment effects in a triangular model with binary — valued endogenous treatments. Following the identification strategy established in Vuong and Xu (2015), we propose a two — stage estimation approach. First, we estimate the counterfactual outcome and hence the individual treatment effect (ITE) for every observational unit in the sample. Second, we estimate the density of individual treatment effects in the population. Our estimation method does not suffer from the ill — posed inverse problem associated with inverting a non — linear functional. Asymptotic properties of the proposed method are established. We study its finite sample properties in Monte Carlo experiments. We also illustrate our approach with an empirical application assessing the effects of 401(k) retirement programs on personal savings. Our results show that there exists a small but statistically significant proportion of individuals who experience negative effects, although the majority of ITEs is positive.
Keywords: Nonseparable Triangular Models, Binary Endogenous Variable, Counterfactual Mapping, Individual Treatment Effects, 401(K) Retirement Programs
JEL Classification: C01, C14, C31
Suggested Citation: Suggested Citation