@techreport{NBERt0229, title = "Instrumental Variables Estimation of Quantile Treatment Effects", author = "Alberto Abadie and Joshua D. Angrist and Guido W. Imbens", institution = "National Bureau of Economic Research", type = "Working Paper", series = "Technical Working Paper Series", number = "229", year = "1998", month = "March", URL = "http://www.nber.org/papers/t0229", abstract = {This paper introduces an instrumental variables estimator for the effect of a binary treatment on the quantiles of potential outcomes. The quantile treatment effects (QTE) estimator accommodates exogenous covariates and reduces to quantile regression as a special case when treatment status is exogenous. Asymptotic distribution theory and computational methods are derived. QTE minimizes a piecewise linear objective function for which a local minimum can be obtained using a modified Barrodale-Roberts algorithm. The QTE estimator is illustrated by estimating the effect of childbearing on the distribution of family income.}, }