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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.

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Paper provided by Boston College Department of Economics in its series Boston College Working Papers in Economics with number 457.

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Length: 8 pages
Date of creation: 31 Jan 2000
Date of revision:
Publication status: published, Econometric Theory, 2000, 16, 603-609
Handle: RePEc:boc:bocoec:457
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Keywords: binary choice; misclassification; measurement error; semiparametric; latent variable;

Other versions of this item:

Find related papers by 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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  1. Brown, James N & Light, Audrey, 1992. "Interpreting Panel Data on Job Tenure," Journal of Labor Economics, University of Chicago Press, vol. 10(3), pages 219-57, July.
  2. Hausman, J. A. & Abrevaya, Jason & Scott-Morton, F. M., 1998. "Misclassification of the dependent variable in a discrete-response setting," Journal of Econometrics, Elsevier, vol. 87(2), pages 239-269, September.
  3. repec:cup:etheor:v:11:y:1995:i:3:p:560-96 is not listed on IDEAS
  4. Andrews, Donald W.K., 1995. "Nonparametric Kernel Estimation for Semiparametric Models," Econometric Theory, Cambridge University Press, vol. 11(03), pages 560-586, June.
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Cited by:

  1. Charles Bellemare, 2004. "A Life-Cycle Model of Outmigration and Economic Assimilation of Immigrants in Germany," Cahiers de recherche 0430, CIRPEE.
  2. Arthur Lewbel, 2003. "Estimation of Average Treatment Effects With Misclassification," Boston College Working Papers in Economics 556, Boston College Department of Economics, revised 04 Sep 2006.
  3. Tennekoon, Vidhura S., 2016. "The equivalence of three latent class models and ML estimators," Economics Letters, Elsevier, vol. 141(C), pages 147-150.
  4. Peter Moffatt & Simon Peters, 2001. "Testing for the Presence of a Tremble in Economic Experiments," Experimental Economics, Springer, vol. 4(3), pages 221-228, December.
  5. 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.
  6. 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.
  7. Beresteanu, Arie & Molinari, Francesca, 2006. "Asymptotic Properties for a Class of Partially Identified Models," Working Papers 06-04, Duke University, Department of Economics.
  8. Échevin, Damien, 2009. "Employment and Education Discrimination against Disabled Persons in Cape Verde," MPRA Paper 19497, University Library of Munich, Germany.
  9. Molinari, Francesca, 2008. "Partial identification of probability distributions with misclassified data," Journal of Econometrics, Elsevier, vol. 144(1), pages 81-117, May.
  10. 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.
  11. 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.
  12. 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.

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