Concave-Monotone Treatment Response and Monotone Treatment Selection: With an Application to the Returns to Schooling

Quantitative Economics, vol. 5(1), March 2014

Posted: 26 Nov 2009 Last revised: 10 Aug 2015

See all articles by Tsunao Okumura

Tsunao Okumura

Northwestern University - Department of Economics; Yokohama National University - International School of Social Sciences

Emiko Usui

Hitotsubashi University - Institute of Economic Research; IZA Institute of Labor Economics

Multiple version iconThere are 2 versions of this paper

Date Written: March 1, 2014

Abstract

This paper identifies sharp bounds on the mean treatment response and average treatment effect under the assumptions of both the concave-monotone treatment response (concave-MTR) and the monotone treatment selection (MTS). We use our bounds and the U.S. National Longitudinal Survey of Youth 1979 to estimate mean returns to schooling. Our upper-bound estimates are substantially smaller than (i) estimates using only the concave-MTR assumption of Manski (1997), and (ii) estimates using only the MTR and MTS assumptions of Manski and Pepper (2000). Our upper-bound estimates fall in the range of the point estimates given in previous studies that assume linear wage functions. Keywords. Nonparametric methods, partial identification, sharp bounds, treatment response, returns to schooling.

Keywords: Nonparametric Methods, Partial Identification, Sharp Bounds, Treatment Response, Returns to Schooling

JEL Classification: C14, J24

Suggested Citation

Okumura, Tsunao and Okumura, Tsunao and Usui, Emiko, Concave-Monotone Treatment Response and Monotone Treatment Selection: With an Application to the Returns to Schooling (March 1, 2014). Quantitative Economics, vol. 5(1), March 2014, Available at SSRN: https://ssrn.com/abstract=1512717 or http://dx.doi.org/10.2139/ssrn.1512717

Tsunao Okumura

Northwestern University - Department of Economics ( email )

2003 Sheridan Road
Evanston, IL 60208
United States

Yokohama National University - International School of Social Sciences ( email )

79-4 Tokiwadai Hodogayaku
Yokohama, 2408501
Japan

Emiko Usui (Contact Author)

Hitotsubashi University - Institute of Economic Research ( email )

2-1 Naka Kunitachi-shi
Tokyo 186-8306
Japan

IZA Institute of Labor Economics ( email )

P.O. Box 7240
Bonn, D-53072
Germany

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