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A bootstrap test for instrument validity in heterogeneous treatment effect models

Author

Listed:
  • Toru Kitagawa

    (Institute for Fiscal Studies and University College London)

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.

Suggested Citation

  • Toru Kitagawa, 2013. "A bootstrap test for instrument validity in heterogeneous treatment effect models," CeMMAP working papers CWP53/13, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    • Handle: RePEc:ifs:cemmap:53/13
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    File URL: http://www.cemmap.ac.uk/wps/cwp531313.pdf
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    References listed on IDEAS

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