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Correcting for Endogeneity in Models with Bunching

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Abstract

We show that in models with endogeneity, bunching at the lower or upper boundary of the distribution of the treatment variable may be used to build a correction for endogeneity. We derive the asymptotic distribution of the parameters of the corrected model, provide an estimator of the standard errors, and prove the consistency of the bootstrap. An empirical application reveals that time spent watching television, corrected for endogeneity, has roughly no net effect on cognitive skills and a significant negative net effect on non-cognitive skills in children.

Suggested Citation

  • Carolina Caetano & Gregorio Caetano & Eric R. Nielsen, 2020. "Correcting for Endogeneity in Models with Bunching," Finance and Economics Discussion Series 2020-080, Board of Governors of the Federal Reserve System (U.S.).
    • Handle: RePEc:fip:fedgfe:2020-80
    DOI: 10.17016/FEDS.2020.080
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    File URL: https://www.federalreserve.gov/econres/feds/files/2020080pap.pdf
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    File URL: https://libkey.io/10.17016/FEDS.2020.080?utm_source=ideas
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    Cited by:

    1. Bertanha, Marinho & McCallum, Andrew H. & Seegert, Nathan, 2023. "Better bunching, nicer notching," Journal of Econometrics, Elsevier, vol. 237(2).
    2. Carolina Caetano & Gregorio Caetano & Eric R. Nielsen, 2020. "Should Children Do More Enrichment Activities? Leveraging Bunching to Correct for Endogeneity," Finance and Economics Discussion Series 2020-036, Board of Governors of the Federal Reserve System (U.S.).
    3. Carolina Caetano & Gregorio Caetano & Hao Fe & Eric R. Nielsen, 2021. "A Dummy Test of Identification in Models with Bunching," Finance and Economics Discussion Series 2021-068, Board of Governors of the Federal Reserve System (U.S.).

    More about this item

    Keywords

    Bunching; Endogeneity; Bootstrap; Cross-sectional models; Childhood skill development; Clustering;
    All these keywords.

    JEL classification:

    • C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C24 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Truncated and Censored Models; Switching Regression Models; Threshold Regression Models

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