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Two-step Parametric Estimation of Binary Treatment Effects in the Presence of Misclassification and Endogeneity for Cross-Sectional and Panel Data

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  • Georgios Chrysanthou

    (University of Bath)

Abstract

I propose a parametric two-step estimator that corrects for the bias arising from measurement error in a binary endogenous regressor, in cross-sectional and panel data settings. The model incorporates asymmetric (unequal) misclassification rates for false negatives and false positives and is directly generalised to the symmetric misclassification case. It is demonstrated that consistent estimation of the binary treatment effect and the remaining structural form parameters is achieved via modified MLE (MMLE) estimation of the reduced form binary discrete choice model and, via modified least squares (MSL) estimation of the structural form augmented by a misclassification-corrected control function. The model is identified by the nonlinearity of the endogeneity correction terms.

Suggested Citation

  • Georgios Chrysanthou, 2022. "Two-step Parametric Estimation of Binary Treatment Effects in the Presence of Misclassification and Endogeneity for Cross-Sectional and Panel Data," Department of Economics Working Papers 87/22, University of Bath, Department of Economics.
    • Handle: RePEc:eid:wpaper:58175
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    References listed on IDEAS

    as
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    4. Michael P. Keane & Robert M. Sauer, 2010. "A Computationally Practical Simulation Estimation Algorithm For Dynamic Panel Data Models With Unobserved Endogenous State Variables," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(4), pages 925-958, November.
    5. Meyer, Bruce D. & Mittag, Nikolas, 2017. "Misclassification in binary choice models," Journal of Econometrics, Elsevier, vol. 200(2), pages 295-311.
    6. Bollinger, Christopher R., 1996. "Bounding mean regressions when a binary regressor is mismeasured," Journal of Econometrics, Elsevier, vol. 73(2), pages 387-399, August.
    7. Butler, J S & Moffitt, Robert, 1982. "A Computationally Efficient Quadrature Procedure for the One-Factor Multinomial Probit Model," Econometrica, Econometric Society, vol. 50(3), pages 761-764, May.
    8. Michael P. Keane & Robert M. Sauer, 2009. "Classification Error in Dynamic Discrete Choice Models: Implications for Female Labor Supply Behavior," Econometrica, Econometric Society, vol. 77(3), pages 975-991, May.
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