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Testing instrument validity for LATE identification based on inequality moment constraints

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  • Huber, Martin

    ()

  • Mellace, Giovanni

    ()

Abstract

This paper proposes bootstrap tests for the validity of instrumental variables (IV) in just identified treatment effect models with endogeneity. We demonstrate that the IV assumptions required for the identification of the local average treatment effect (LATE) allow us to both point identify and bound the mean potential outcomes (i) of the always takers (those treated irrespective of the instrument) under treatment and (ii) of the never takers (never treated irrespective of the instrument) under non-treatment. The point identified means must lie within their respective bounds, which provides four testable inequality moment constraints for IV validity. Furthermore, we show that a similar logic applies to testing the assumptions needed to identify distributional features (e.g., local quantile treatment effects). Finally, we discuss how testing power can be increased by imposing dominance/equality assumptions on the potential outcome distributions of different subpopulations.

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Bibliographic Info

Paper provided by University of St. Gallen, School of Economics and Political Science in its series Economics Working Paper Series with number 1143.

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Length: 48 pages
Date of creation: Oct 2011
Date of revision:
Handle: RePEc:usg:econwp:2011:43

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Keywords: specification test; instrument; treatment effects; LATE; inequality moment constraints.;

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References

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Citations

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Cited by:
  1. Huber, Martin & Mellace, Giovanni, 2011. "Testing instrument validity in sample selection models," Economics Working Paper Series 1145, University of St. Gallen, School of Economics and Political Science.
  2. Joeri Smits & Jeffrey S. Racine, 2013. "Testing Exclusion Restrictions in Nonseparable Triangular Models," Department of Economics Working Papers 2013-02, McMaster University.
  3. Frölich, Markus & Huber, Martin, 2014. "Treatment Evaluation with Multiple Outcome Periods under Endogeneity and Attrition," IZA Discussion Papers 7972, Institute for the Study of Labor (IZA).
  4. Toru Kitagawa, 2013. "A bootstrap test for instrument validity in heterogeneous treatment effect models," CeMMAP working papers, Centre for Microdata Methods and Practice, Institute for Fiscal Studies CWP53/13, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  5. Martin Huber & Giovanni Mellace, 2014. "Testing exclusion restrictions and additive separability in sample selection models," Empirical Economics, Springer, Springer, vol. 47(1), pages 75-92, August.
  6. Brunello, Giorgio & Fort, Margherita & Weber, Guglielmo & Weiss, Christoph T., 2013. "Testing the Internal Validity of Compulsory School Reforms as Instrument for Years of Schooling," IZA Discussion Papers 7533, Institute for the Study of Labor (IZA).

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