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Identification of the Binary Choice Model with Misclassification

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  • Arthur Lewbel

    (Boston College)

Abstract

Misclassification in binary choice (binomial response) models occurs when the dependent variable is measured with error, that is, when an actual "one" response is sometimes recorded as a zero, and vice versa. This paper shows that binary choice models with misclassification are semiparametrically identified, even when the probabilities of misclassification depend in unknown ways on model covariates, and the distribution of the errors is unknown.

Suggested Citation

  • Arthur Lewbel, 2000. "Identification of the Binary Choice Model with Misclassification," Boston College Working Papers in Economics 457, Boston College Department of Economics.
    • Handle: RePEc:boc:bocoec:457
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    References listed on IDEAS

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    5. repec:cup:etheor:v:11:y:1995:i:3:p:560-96 is not listed on IDEAS
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    1. Pattison, Nathaniel & Millimet, Daniel L., 2023. "A Tale of Two Bankruptcies: Geographic Differences in Bankruptcy Chapter Choice," IZA Discussion Papers 16105, Institute of Labor Economics (IZA).
    2. Arthur Lewbel, 2007. "Estimation of Average Treatment Effects with Misclassification," Econometrica, Econometric Society, vol. 75(2), pages 537-551, March.
    3. Ijeoma P. Edoka, 2017. "Implications of Misclassification Errors in Empirical Studies of Adolescent Smoking Behaviours," Health Economics, John Wiley & Sons, Ltd., vol. 26(4), pages 486-499, April.
    4. Arie Beresteanu & Francesca Molinari, 2008. "Asymptotic Properties for a Class of Partially Identified Models," Econometrica, Econometric Society, vol. 76(4), pages 763-814, July.
    5. Arrieta, Alejandro, 2007. "A Structural Misclassifcation Model to Estimate the Impact of Physician Incentives on Healthcare Utilization," MPRA Paper 6718, University Library of Munich, Germany.
    6. Molinari, Francesca, 2008. "Partial identification of probability distributions with misclassified data," Journal of Econometrics, Elsevier, vol. 144(1), pages 81-117, May.
    7. Orville Mondal & Rui Wang, 2024. "Partial Identification of Binary Choice Models with Misreported Outcomes," Papers 2401.17137, arXiv.org.
    8. Kanaya, Shin & Taylor, Luke, 2020. "Type I and Type II Error Probabilities in the Courtroom," MPRA Paper 100217, University Library of Munich, Germany.
    9. Peter Moffatt & Simon Peters, 2001. "Testing for the Presence of a Tremble in Economic Experiments," Experimental Economics, Springer;Economic Science Association, vol. 4(3), pages 221-228, December.
    10. Sarah Brown & Mark N. Harris & Preety Srivastava & Karl Taylor, 2018. "Mental Health and Reporting Bias: Analysis of the GHQ - 12," Working Papers 2018013, The University of Sheffield, Department of Economics.
    11. Bellemare, Charles, 2007. "A life-cycle model of outmigration and economic assimilation of immigrants in Germany," European Economic Review, Elsevier, vol. 51(3), pages 553-576, April.
    12. Daniel Wilhelm, 2018. "Testing for the presence of measurement error," CeMMAP working papers CWP45/18, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    13. Tennekoon, Vidhura S., 2016. "The equivalence of three latent class models and ML estimators," Economics Letters, Elsevier, vol. 141(C), pages 147-150.
    14. Eivind Bernhardsen & Bjorne Dyre Syversten, 2009. "Stress Testing the Enterprise Sector's Bank Debt: A Micro Approach," International Journal of Central Banking, International Journal of Central Banking, vol. 5(3), pages 111-138, September.
    15. Meyer, Bruce D. & Mittag, Nikolas, 2017. "Misclassification in binary choice models," Journal of Econometrics, Elsevier, vol. 200(2), pages 295-311.
    16. Sadikoglu, Serhan, 2019. "Essays in econometric theory," Other publications TiSEM 99d83644-f9dc-49e3-a4e1-5, Tilburg University, School of Economics and Management.
    17. Aprajit Mahajan, 2006. "Identification and Estimation of Regression Models with Misclassification," Econometrica, Econometric Society, vol. 74(3), pages 631-665, May.
    18. Shiu, Ji-Liang, 2016. "Identification and estimation of endogenous selection models in the presence of misclassification errors," Economic Modelling, Elsevier, vol. 52(PB), pages 507-518.
    19. Échevin, Damien, 2009. "Employment and Education Discrimination against Disabled Persons in Cape Verde," MPRA Paper 19497, University Library of Munich, Germany.
    20. Peter Z. Schochet, 2013. "A Statistical Model for Misreported Binary Outcomes in Clustered RCTs of Education Interventions," Journal of Educational and Behavioral Statistics, , vol. 38(5), pages 470-498, October.
    21. Donald S. Kenkel & Dean R. Lillard & Alan D. Mathios, 2004. "Accounting for misclassification error in retrospective smoking data," Health Economics, John Wiley & Sons, Ltd., vol. 13(10), pages 1031-1044, October.
    22. Dimitri Romanov, 2003. "Costs and Benefits of Marginal Reallocation of Tax Agency Resources in Pursuit of the Hard-to-Tax," International Center for Public Policy Working Paper Series, at AYSPS, GSU paper0323, International Center for Public Policy, Andrew Young School of Policy Studies, Georgia State University.
    23. William Greene & Mark N. Harris & Preety Srivastava & Xueyan Zhao, 2018. "Misreporting and econometric modelling of zeros in survey data on social bads: An application to cannabis consumption," Health Economics, John Wiley & Sons, Ltd., vol. 27(2), pages 372-389, February.

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    More about this item

    Keywords

    binary choice; misclassification; measurement error; semiparametric; latent variable;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General

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