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Correcting for Misclassied Binary Regressors Using Instrumental Variables

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  • Haider, Steven J.

    (Michigan State University)

  • Stephens Jr., Melvin

    (University of Michigan)

Abstract

Estimators that exploit an instrumental variable to correct for misclassification in a binary regressor typically assume that the misclassification rates are invariant across all values of the instrument. We show that this assumption is invalid in routine empirical settings. We derive a new estimator that is consistent when misclassification rates vary across values of the instrumental variable. In cases where identification is weak, our moments can be combined with bounds to provide a confidence set for the parameter of interest.

Suggested Citation

  • Haider, Steven J. & Stephens Jr., Melvin, 2020. "Correcting for Misclassied Binary Regressors Using Instrumental Variables," IZA Discussion Papers 13593, Institute of Labor Economics (IZA).
    • Handle: RePEc:iza:izadps:dp13593
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    References listed on IDEAS

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    Cited by:

    1. Akanksha Negi & Digvijay S. Negi, 2025. "Difference‐in‐Differences With a Misclassified Treatment," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 40(4), pages 411-423, June.
    2. Katherine Harris‐Lagoudakis & Hannah Wich, 2024. "Purchases over the SNAP benefit cycle: Evidence from supermarket panel data," Economic Inquiry, Western Economic Association International, vol. 62(4), pages 1426-1448, October.
    3. Acerenza, Santiago & Ban, Kyunghoon & Kedagni, Desire, 2021. "Marginal Treatment Effects with Misclassified Treatment," ISU General Staff Papers 202106180700001132, Iowa State University, Department of Economics.
    4. Denni Tommasi & Lina Zhang, 2024. "Identifying program benefits when participation is misreported," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 39(6), pages 1123-1148, September.
    5. Akanksha Negi & Digvijay Singh Negi, 2022. "Difference-in-Differences with a Misclassified Treatment," Papers 2208.02412, arXiv.org.
    6. Akanksha Negi & Digvijay S. Negi, 2024. "Difference-in-Differences with a Misclassified Treatment," Working Papers 121, Ashoka University, Department of Economics.

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    More about this item

    Keywords

    instrumental variables; measurement error; misclassification;
    All these keywords.

    JEL classification:

    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
    • C26 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Instrumental Variables (IV) Estimation

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