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A bootstrap test for instrument validity in heterogeneous treatment effect models

Kitagawa, T; (2013) A bootstrap test for instrument validity in heterogeneous treatment effect models. (cemmap Working Paper 53/13). Centre for microdata methods and practice (cemmap): London, UK.

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Abstract

This paper develops a specification test for the instrument validity conditions in the heterogeneous treatment effect model with a binary treatment and a discrete instrument. A necessary testable implication for the joint restriction of instrument exogeneity and instrument monotonicity is given by nonnegativity of point-identifiable complier’s outcome densities. Our specification test infers this testable implication using a Kolmogorov-Smirnov type test statistic. We provide a bootstrap algorithm to implement the proposed test and show its asymptotic validity. The proposed test procedure can apply to both discrete and continuous outcome cases.

Type: Working / discussion paper
Title: A bootstrap test for instrument validity in heterogeneous treatment effect models
DOI: 10.1920/wp.cem.2013.5313
Publisher version: https://www.cemmap.ac.uk/publication/a-bootstrap-t...
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL SLASH
UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of S&HS
UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of S&HS > Dept of Economics
URI: https://discovery.ucl.ac.uk/id/eprint/10128117
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