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Asymptotic bias reduction for a conditional marginal effects estimator in sample selection models

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  • Alpaslan Akay
  • Elias Tsakas

Abstract

In this article we discuss the differences between the average marginal effect and the marginal effect of the average individual in sample selection models, estimated by the Heckman procedure. We show that the bias that emerges as a consequence of interchanging the measures, could be very significant, even in the limit. We suggest a computationally cheap approximation method, which corrects the bias to a large extent. We illustrate the implications of our method with an empirical application of earnings assimilation and a small Monte Carlo simulation.

Suggested Citation

  • Alpaslan Akay & Elias Tsakas, 2008. "Asymptotic bias reduction for a conditional marginal effects estimator in sample selection models," Applied Economics, Taylor & Francis Journals, vol. 40(24), pages 3101-3110.
    • Handle: RePEc:taf:applec:v:40:y:2008:i:24:p:3101-3110
    DOI: 10.1080/00036840600994096
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    References listed on IDEAS

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    1. Jeremy Verlinda, 2006. "A comparison of two common approaches for estimating marginal effects in binary choice models," Applied Economics Letters, Taylor & Francis Journals, vol. 13(2), pages 77-80.
    2. George J. Borjas, 2021. "Assimilation, Changes in Cohort Quality, and the Earnings of Immigrants," World Scientific Book Chapters, in: Foundational Essays in Immigration Economics, chapter 2, pages 3-29, World Scientific Publishing Co. Pte. Ltd..
    3. Borjas, George J., 1999. "The economic analysis of immigration," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 28, pages 1697-1760, Elsevier.
    4. Atanu Saha & Oral Capps & Patrick Byrne, 1997. "Calculating marginal effects in models for zero expenditures in household budgets using a Heckman-type correction," Applied Economics, Taylor & Francis Journals, vol. 29(10), pages 1311-1316.
    5. Pål Longva & Oddbjørn Raaum, 2003. "Earnings assimilation of immigrants in Norway – A reappraisal," Journal of Population Economics, Springer;European Society for Population Economics, vol. 16(1), pages 177-193, February.
    6. Rodolfo Hoffmann & Ana Lucia Kassouf, 2005. "Deriving conditional and unconditional marginal effects in log earnings equations estimated by Heckman's procedure," Applied Economics, Taylor & Francis Journals, vol. 37(11), pages 1303-1311.
    7. Chiswick, Barry R, 1978. "The Effect of Americanization on the Earnings of Foreign-born Men," Journal of Political Economy, University of Chicago Press, vol. 86(5), pages 897-921, October.
    8. Erling Barth & Bernt Bratsberg & Oddbjørn Raaum, 2004. "Identifying Earnings Assimilation of Immigrants under Changing Macroeconomic Conditions," Scandinavian Journal of Economics, Wiley Blackwell, vol. 106(1), pages 1-22, March.
    9. James Heckman, 2013. "Sample selection bias as a specification error," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 31(3), pages 129-137.
    10. Atanu Saha & Oral Capps & Patrick Byrne, 1997. "Calculating marginal effects in dichotomous - continuous models," Applied Economics Letters, Taylor & Francis Journals, vol. 4(3), pages 181-185.
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    2. Fotios Pasiouras & Chrysovalantis Gaganis & Constantin Zopounidis, 2008. "Regulations, Supervision Approaches and Acquisition Likelihood in the Asian Banking Industry," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 15(2), pages 135-154, June.

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