Inference for Distributional Effects using Instrumental Quantile Regression
Massachusetts Institute of Technology (MIT) - Department of Economics; New Economic School
University of Chicago Graduate School of Business
May 16, 2002
MIT Department of Economics Working Paper No. 02-20
In this paper we describe how quantile regression can be used to evaluate the impact of treatment on the entire distribution of outcomes, when the treatment is endogenous or selected in relation to potential outcomes. We describe an instrumental variable quantile regression process and the set of inferences derived from it, focusing on tests of distributional equality, non-constant treatment effects, conditional dominance, and exogeneity. The inference, which is subject to the Durbin problem, is handled via a method of score resampling. The approach is illustrated with a classical supply-demand and a schooling example. Results from both models demonstrate substantial treatment heterogeneity and serve to illustrate the rich variety of hypotheses that can be tested using inference on the instrumental quantile regression process.
Number of Pages in PDF File: 38
Keywords: Quantile Regression, Instrumental Quantile Regression, Treatment Effects, Endogeneity, Stochastic Dominance, Hausman Test, Supply-Demand Equations, Returns to Education
JEL Classification: C13, C14, C30, C51, D4, J24, J31
Date posted: May 24, 2002
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