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Binary response panel data models with sample selection and self‐selection

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  • Anastasia Semykina
  • Jeffrey M. Wooldridge

Abstract

We consider estimating binary response models on an unbalanced panel, where the outcome of the dependent variable may be missing due to nonrandom selection, or there is self‐selection into a treatment. In the present paper, we first consider estimation of sample selection models and treatment effects using a fully parametric approach, where the error distribution is assumed to be normal in both primary and selection equations. Arbitrary time dependence in errors is permitted. Estimation of both coefficients and partial effects, as well as tests for selection bias, are discussed. Furthermore, we consider a semiparametric estimator of binary response panel data models with sample selection that is robust to a variety of error distributions. The estimator employs a control function approach to account for endogenous selection and permits consistent estimation of scaled coefficients and relative effects.

Suggested Citation

  • Anastasia Semykina & Jeffrey M. Wooldridge, 2018. "Binary response panel data models with sample selection and self‐selection," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(2), pages 179-197, March.
    • Handle: RePEc:wly:japmet:v:33:y:2018:i:2:p:179-197
    DOI: 10.1002/jae.2592
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    5. Majid M. Al-Sadoon & Sergi Jiménez-Martín & Jose M. Labeaga, 2019. "Simple methods for consistent estimation of dynamic panel data sample selection models," Economics Working Papers 1631, Department of Economics and Business, Universitat Pompeu Fabra.
    6. Cizek, Pavel & Sadikoglu, Serhan, 2022. "Nonseparable Panel Models with Index Structure and Correlated Random Effects," Other publications TiSEM 7899deb9-0eda-47e6-a3b8-2, Tilburg University, School of Economics and Management.
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    12. Amaresh K Tiwari, 2021. "A Control Function Approach to Estimate Panel Data Binary Response Model," Papers 2102.12927, arXiv.org, revised Sep 2021.
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    More about this item

    JEL classification:

    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • C34 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Truncated and Censored Models; Switching Regression Models
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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