A Comparison of two Qantile Models with Endogeneity

Wüthrich, Kaspar (November 2014). A Comparison of two Qantile Models with Endogeneity (Discussion Papers 14-08). Bern: Department of Economics

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This paper analyzes estimators based on the instrumental variable quantile regression (IVQR) model (Chernozhukov and Hansen, 2004, 2005, 2006) under the local quantile treatment effects (LQTE) framework (Abadie et al., 2002). I show that the quantile treatment effect (QTE) estimators in the IVQR model are equivalent to LQTE for the compliers at transformed quantile levels. This transformation adjusts for differences between the subpopulation-specific potential outcome distributions that are identified in the LQTE model. Moreover, the IVQR estimator of the average treatment effect (ATE) corresponds to a convex combination of the local average treatment effect (LATE) and a weighted average of LQTE for the compliers. I extend the analysis to more general setups that allow for partial failures of the LQTE assumptions, non-binary instruments, and covariates. The results are illustrated with two empirical applications.

Item Type:

Working Paper

Division/Institute:

03 Faculty of Business, Economics and Social Sciences > Department of Economics

UniBE Contributor:

Wüthrich, Kaspar

Subjects:

300 Social sciences, sociology & anthropology > 330 Economics

Series:

Discussion Papers

Publisher:

Department of Economics

Language:

English

Submitter:

Lars Tschannen

Date Deposited:

18 Dec 2020 14:44

Last Modified:

18 Dec 2020 14:44

JEL Classification:

C14, C21, C26

BORIS DOI:

10.7892/boris.145809

URI:

https://boris.unibe.ch/id/eprint/145809

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