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Sample selection models without exclusion restrictions: Parameter heterogeneity and partial identification

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  • Honoré, Bo E.
  • Hu, Luojia

Abstract

This paper studies semiparametric versions of the classical sample selection model (Heckman, 1976, 1979) without exclusion restrictions. We extend the analysis in Honoré and Hu (2020) by allowing for parameter heterogeneity and derive implications of this model. We also consider models that allow for heteroskedasticity and briefly discuss other extensions. The key ideas are illustrated in a simple wage regression for females. We find that the derived implications of a semiparametric version of Heckman’s classical sample selection model are consistent with the data for women with no college education, but strongly rejected for women with a college degree or more.

Suggested Citation

  • Honoré, Bo E. & Hu, Luojia, 2024. "Sample selection models without exclusion restrictions: Parameter heterogeneity and partial identification," Journal of Econometrics, Elsevier, vol. 243(1).
    • Handle: RePEc:eee:econom:v:243:y:2024:i:1:s0304407622001932
    DOI: 10.1016/j.jeconom.2021.07.017
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    1. Chen, Songnian & Khan, Shakeeb, 2003. "Semiparametric Estimation Of A Heteroskedastic Sample Selection Model," Econometric Theory, Cambridge University Press, vol. 19(6), pages 1040-1064, December.
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    8. David S. Lee, 2009. "Training, Wages, and Sample Selection: Estimating Sharp Bounds on Treatment Effects," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(3), pages 1071-1102.
    9. Donald, Stephen G., 1995. "Two-step estimation of heteroskedastic sample selection models," Journal of Econometrics, Elsevier, vol. 65(2), pages 347-380, February.
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    More about this item

    Keywords

    Selection; Heterogeneity; Heteroskedasticity; Exclusion Restrictions; Identification;
    All these keywords.

    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C24 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Truncated and Censored Models; Switching Regression Models; Threshold Regression Models

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