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A test of the selection on observables assumption using a discontinuously distributed covariate

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  • Khalil, Umair
  • Yıldız, Neşe

Abstract

We present a test of the selection on observables assumption that neither requires instruments nor excluded covariates from the structural function. Instead, we rely on the presence of a discontinuously distributed variable among the set of controls. We develop formal testing procedures for a non-parametric additively separable model for binary and finite treatment variables. We also outline a nonparametric nonseparable extension. Our test is easy to implement and should be useful in many empirical settings. Specifically, we employ it to study selection concerns in the estimation of the impact of a nutritional aid program for pregnant women on birth weight.

Suggested Citation

  • Khalil, Umair & Yıldız, Neşe, 2022. "A test of the selection on observables assumption using a discontinuously distributed covariate," Journal of Econometrics, Elsevier, vol. 226(2), pages 423-450.
    • Handle: RePEc:eee:econom:v:226:y:2022:i:2:p:423-450
    DOI: 10.1016/j.jeconom.2021.09.018
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    1. Krueger, Alan B. & Mueller, Andreas, 2010. "Job search and unemployment insurance: New evidence from time use data," Journal of Public Economics, Elsevier, vol. 94(3-4), pages 298-307, April.
    2. Richard K. Crump & V. Joseph Hotz & Guido W. Imbens & Oscar A. Mitnik, 2008. "Nonparametric Tests for Treatment Effect Heterogeneity," The Review of Economics and Statistics, MIT Press, vol. 90(3), pages 389-405, August.
    3. Robinson, Peter M, 1988. "Root- N-Consistent Semiparametric Regression," Econometrica, Econometric Society, vol. 56(4), pages 931-954, July.
    4. Gregorio Caetano & Josh Kinsler & Hao Teng, 2019. "Towards causal estimates of children's time allocation on skill development," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 34(4), pages 588-605, June.
    5. Carolina Caetano, 2015. "A Test of Exogeneity Without Instrumental Variables in Models With Bunching," Econometrica, Econometric Society, vol. 83(4), pages 1581-1600, July.
    6. Gregorio Caetano & Vikram Maheshri, 2018. "Identifying dynamic spillovers of crime with a causal approach to model selection," Quantitative Economics, Econometric Society, vol. 9(1), pages 343-394, March.
    7. Stephen G. Donald & Yu-Chin Hsu & Robert P. Lieli, 2014. "Testing the Unconfoundedness Assumption via Inverse Probability Weighted Estimators of (L)ATT," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 32(3), pages 395-415, July.
    8. Brian Jacob & Lars Lefgren & Enrico Moretti, 2007. "The Dynamics of Criminal Behavior: Evidence from Weather Shocks," Journal of Human Resources, University of Wisconsin Press, vol. 42(3).
    9. François Gourio & Nicolas Roys, 2014. "Size‐dependent regulations, firm size distribution, and reallocation," Quantitative Economics, Econometric Society, vol. 5, pages 377-416, July.
    10. Mueller, Andreas, 2010. "On-the-job search and wage dispersion: New evidence from time use data," Economics Letters, Elsevier, vol. 109(2), pages 124-127, November.
    11. Toru Kitagawa, 2015. "A Test for Instrument Validity," Econometrica, Econometric Society, vol. 83(5), pages 2043-2063, September.
    12. Figlio, David & Hamersma, Sarah & Roth, Jeffrey, 2009. "Does prenatal WIC participation improve birth outcomes? New evidence from Florida," Journal of Public Economics, Elsevier, vol. 93(1-2), pages 235-245, February.
    13. Huber, Martin, 2013. "A simple test for the ignorability of non-compliance in experiments," Economics Letters, Elsevier, vol. 120(3), pages 389-391.
    14. Caetano, Carolina & Rothe, Christoph & Yıldız, Neşe, 2016. "A discontinuity test for identification in triangular nonseparable models," Journal of Econometrics, Elsevier, vol. 193(1), pages 113-122.
    15. James J. Heckman & Sergio Urzua & Edward Vytlacil, 2006. "Understanding Instrumental Variables in Models with Essential Heterogeneity," The Review of Economics and Statistics, MIT Press, vol. 88(3), pages 389-432, August.
    16. Lu, Xun & White, Halbert, 2014. "Testing for separability in structural equations," Journal of Econometrics, Elsevier, vol. 182(1), pages 14-26.
    17. repec:idb:brikps:publication-detail,7101.html?id=21146 is not listed on IDEAS
    18. Douglas Almond & Kenneth Y. Chay & David S. Lee, 2005. "The Costs of Low Birth Weight," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(3), pages 1031-1083.
    19. Lewbel, Arthur & Lu, Xun & Su, Liangjun, 2015. "Specification testing for transformation models with an application to generalized accelerated failure-time models," Journal of Econometrics, Elsevier, vol. 184(1), pages 81-96.
    20. Marianne P. Bitler & Janet Currie, 2005. "Does WIC work? The effects of WIC on pregnancy and birth outcomes," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 24(1), pages 73-91.
    21. de Luna Xavier & Johansson Per, 2014. "Testing for the Unconfoundedness Assumption Using an Instrumental Assumption," Journal of Causal Inference, De Gruyter, vol. 2(2), pages 187-199, September.
    22. Douglas Almond & Janet Currie, 2011. "Killing Me Softly: The Fetal Origins Hypothesis," Journal of Economic Perspectives, American Economic Association, vol. 25(3), pages 153-172, Summer.
    23. Volpe Martincus, Christian & Carballo, Jerónimo, 2010. "Beyond the average effects: The distributional impacts of export promotion programs in developing countries," Journal of Development Economics, Elsevier, vol. 92(2), pages 201-214, July.
    24. Edward Vytlacil & Nese Yildiz, 2007. "Dummy Endogenous Variables in Weakly Separable Models," Econometrica, Econometric Society, vol. 75(3), pages 757-779, May.
    25. Imbens,Guido W. & Rubin,Donald B., 2015. "Causal Inference for Statistics, Social, and Biomedical Sciences," Cambridge Books, Cambridge University Press, number 9780521885881, September.
    26. Volpe Martincus, Christian & Carballo, Jerónimo, 2010. "Beyond the average effects: The distributional impacts of export promotion programs in developing countries," Journal of Development Economics, Elsevier, vol. 92(2), pages 201-214, July.
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    More about this item

    Keywords

    Selection on observables; Testing; Partial effects; Essential heterogeneity;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models

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