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On the Estimation of Treatment Effects with Endogenous Misreporting

Author

Listed:
  • Pierre Nguimkeu
  • Augustine Denteh
  • Rusty Tchernis
Abstract
Participation in social programs is often misreported in survey data, complicating the estimation of the effects of those programs. In this paper, we propose a model to estimate treatment effects under endogenous participation and endogenous misreporting. We show that failure to account for endogenous misreporting can result in the estimate of the treatment effect having an opposite sign from the true effect. We present an expression for the asymptotic bias of both OLS and IV estimators and discuss the conditions under which sign reversal may occur. We provide a method for eliminating this bias when researchers have access to information related to both participation and misreporting. We establish the consistency and asymptotic normality of our estimator and assess its small sample performance through Monte Carlo simulations. An empirical example is given to illustrate the proposed method.

Suggested Citation

  • Pierre Nguimkeu & Augustine Denteh & Rusty Tchernis, 2017. "On the Estimation of Treatment Effects with Endogenous Misreporting," NBER Working Papers 24117, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:24117
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    Cited by:

    1. Francis J. DiTraglia & Camilo Garcia-Jimeno, 2020. "Identifying the effect of a mis-classified, binary, endogenous regressor," Papers 2011.07272, arXiv.org.
    2. Charles Courtemanche & Augustine Denteh & Rusty Tchernis, 2019. "Estimating the Associations between SNAP and Food Insecurity, Obesity, and Food Purchases with Imperfect Administrative Measures of Participation," Southern Economic Journal, John Wiley & Sons, vol. 86(1), pages 202-228, July.
    3. Mittag, Nikolas, 2016. "Correcting for Misreporting of Government Benefits," IZA Discussion Papers 10266, Institute of Labor Economics (IZA).
    4. Acerenza, Santiago & Ban, Kyunghoon & Kedagni, Desire, 2021. "Marginal Treatment Effects with Misclassified Treatment," ISU General Staff Papers 202106180700001132, Iowa State University, Department of Economics.
    5. Tommasi, Denni & Zhang, Lina, 2024. "Bounding program benefits when participation is misreported," Journal of Econometrics, Elsevier, vol. 238(1).
    6. Akanksha Negi & Digvijay Singh Negi, 2022. "Difference-in-Differences with a Misclassified Treatment," Papers 2208.02412, arXiv.org.
    7. DiTraglia, Francis J. & García-Jimeno, Camilo, 2019. "Identifying the effect of a mis-classified, binary, endogenous regressor," Journal of Econometrics, Elsevier, vol. 209(2), pages 376-390.
    8. Steven J. Haider & Melvin Stephens Jr., 2020. "Correcting for Misclassified Binary Regressors Using Instrumental Variables," NBER Working Papers 27797, National Bureau of Economic Research, Inc.
    9. Helen H. Jensen & Brent Kreider & Oleksandr Zhylyevskyy, 2019. "Investigating Treatment Effects of Participating Jointly in SNAP and WIC when the Treatment Is Validated Only for SNAP," Southern Economic Journal, John Wiley & Sons, vol. 86(1), pages 124-155, July.
    10. Kyung Min Kang & Robert A. Moffitt, 2019. "The Effect of SNAP and School Food Programs on Food Security, Diet Quality, and Food Spending: Sensitivity to Program Reporting Error," Southern Economic Journal, John Wiley & Sons, vol. 86(1), pages 156-201, July.
    11. Augustine Denteh & D'esir'e K'edagni, 2022. "Misclassification in Difference-in-differences Models," Papers 2207.11890, arXiv.org, revised Jul 2022.
    12. Sung Jae Jun & Sokbae Lee, 2023. "Identifying the Effect of Persuasion," Journal of Political Economy, University of Chicago Press, vol. 131(8), pages 2032-2058.
    13. Francis J. DiTraglia & Camilo García-Jimeno, 2017. "Mis-classified, Binary, Endogenous Regressors: Identification and Inference," NBER Working Papers 23814, National Bureau of Economic Research, Inc.
    14. Tammy Leonard & David Andrews & Sandi L. Pruitt, 2022. "Impact of changes in the frequency of food pantry utilization on client food security and well‐being," Applied Economic Perspectives and Policy, John Wiley & Sons, vol. 44(2), pages 1049-1067, June.
    15. Kasahara, Hiroyuki & Shimotsu, Katsumi, 2022. "Identification Of Regression Models With A Misclassified And Endogenous Binary Regressor," Econometric Theory, Cambridge University Press, vol. 38(6), pages 1117-1139, December.
    16. Jones, Jordan & Courtemanche, Charles & Denteh, Augustine & Marton, James & Tchernis, Rusty, 2021. "Do State Snap Policies Influence Program Participation among Seniors?," IZA Discussion Papers 14564, Institute of Labor Economics (IZA).
    17. Flores-Lagunes, Alfonso & Jales, Hugo B. & Liu, Judith & Wilson, Norbert L., 2023. "Moving Policies Toward Racial and Ethnic Equality: The Case of the Supplemental Nutrition Assistance Program," GLO Discussion Paper Series 1272, Global Labor Organization (GLO).
    18. Martijn van Hasselt & Christopher R. Bollinger & Jeremy W. Bray, 2022. "A Bayesian approach to account for misclassification in prevalence and trend estimation," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 37(2), pages 351-367, March.
    19. Seoyun Hong & Chang Sik Kim & Hyunchul Kim, 2022. "Measuring the Effects of Bid-Rigging on Prices with Binary Misclassification," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 61(3), pages 319-339, November.
    20. Pablo A. Celhay & Bruce D. Meyer & Nikolas Mittag, 2022. "What Leads to Measurement Errors? Evidence from Reports of Program Participation in Three Surveys," NBER Working Papers 29652, National Bureau of Economic Research, Inc.
    21. Jordan W. Jones & Charles Courtemanche & Augustine Denteh & James Marton & Rusty Tchernis, 2022. "Do state Supplemental Nutrition Assistance Program policies influence program participation among seniors?," Applied Economic Perspectives and Policy, John Wiley & Sons, vol. 44(2), pages 591-608, June.
    22. Wossen, Tesfamicheal & Abay, Kibrom A. & Abdoulaye, Tahirou, 2022. "Misperceiving and misreporting input quality: Implications for input use and productivity," Journal of Development Economics, Elsevier, vol. 157(C).
    23. Jones, Jordan W. & Marton, James & Courtemanche, Charles & Tchernis, Rusty & Denteh, Augustine, 2021. "Policy Determinants of Senior SNAP Participation," 2021 Annual Meeting, August 1-3, Austin, Texas 313925, Agricultural and Applied Economics Association.
    24. Wossen, Tesfamicheal & Alene, Arega & Abdoulaye, Tahirou & Feleke, Shiferaw & Manyong, Victor, 2019. "Agricultural technology adoption and household welfare: Measurement and evidence," Food Policy, Elsevier, vol. 87(C), pages 1-1.

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    JEL classification:

    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • I28 - Health, Education, and Welfare - - Education - - - Government Policy

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