IDEAS home Printed from https://ideas.repec.org/p/hhs/gunwpe/0239.html
   My bibliography  Save this paper

Second Order Approximation for the Average Marginal Effect of Heckman's Two Step Procedure

Author

Listed:
  • Akay, Alpaslan

    (Department of Economics, School of Business, Economics and Law, Göteborg University)

  • Tsakas, Elias

    (Department of Economics, School of Business, Economics and Law, Göteborg University)

Abstract

In this paper we discuss the differences between the average marginal effect and the marginal effect of the average individual in sample selection models, estimated by Heckman's two step procedure. We show that the bias that emerges as a consequence of interchanging them, could be very significant, even in the limit. We suggest a computationally cheap approximation method, which corrects the bias in 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

  • Akay, Alpaslan & Tsakas, Elias, 2006. "Second Order Approximation for the Average Marginal Effect of Heckman's Two Step Procedure," Working Papers in Economics 239, University of Gothenburg, Department of Economics.
    • Handle: RePEc:hhs:gunwpe:0239
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/2077/2667
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    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. Heckman, James, 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.
    6. 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.
    7. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Dustmann, Christian & Glitz, Albrecht, 2011. "Migration and Education," Handbook of the Economics of Education, in: Erik Hanushek & Stephen Machin & Ludger Woessmann (ed.), Handbook of the Economics of Education, edition 1, volume 4, chapter 0, pages 327-439, Elsevier.
    3. Akay, Alpaslan, 2009. "Dynamics of the Employment Assimilation of First-Generation Immigrant Men in Sweden: Comparing Dynamic and Static Assimilation Models with Longitudinal Data," IZA Discussion Papers 4655, Institute of Labor Economics (IZA).
    4. Barth, Erling & Bratsberg, Bernt & Raaum, Oddbjørn, 2003. "Local Unemployment and the Earnings Assimilation of Immigrants in Norway," Memorandum 19/2002, Oslo University, Department of Economics.
    5. Cristina Fernández & Carolina Ortega, 2008. "Labor market assimilation of immigrants in Spain: employment at the expense of bad job-matches?," Spanish Economic Review, Springer;Spanish Economic Association, vol. 10(2), pages 83-107, June.
    6. Esteve Sanromá & Raúl Ramos & Hipólito Simón, 2015. "Portability of Human Capital and Immigrant Overeducation in Spain," Population Research and Policy Review, Springer;Southern Demographic Association (SDA), vol. 34(2), pages 223-241, April.
    7. Jens Ruhose, 2015. "Microeconometric Analyses on Economic Consequences of Selective Migration," ifo Beiträge zur Wirtschaftsforschung, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, number 61.
    8. Purvi Sevak & Lucie Schmidt, 2007. "How do Immigrants Fare in Retirement?," Working Papers wp169, University of Michigan, Michigan Retirement Research Center.
    9. Juan J. Dolado & Pablo Vázquez & Varios Autores, 2008. "Ensayos sobre los efectos económicos de la inmigración en España," Economic Reports 01-08, FEDEA.
    10. Bertoli, Simone & Dequiedt, Vianney & Zenou, Yves, 2016. "Can selective immigration policies reduce migrants' quality?," Journal of Development Economics, Elsevier, vol. 119(C), pages 100-109.
    11. Valentine Fays & Benoît Mahy & François Rycx, 2023. "Wage differences according to workers' origin: The role of working more upstream in GVCs," LABOUR, CEIS, vol. 37(2), pages 319-342, June.
    12. Catalina Amuedo‐Dorantes & Sara De La Rica, 2007. "Labour Market Assimilation of Recent Immigrants in Spain," British Journal of Industrial Relations, London School of Economics, vol. 45(2), pages 257-284, June.
    13. Leilanie Basilio & Thomas K. Bauer & Anica Kramer, 2017. "Transferability of Human Capital and Immigrant Assimilation: An Analysis for Germany," LABOUR, CEIS, vol. 31(3), pages 245-264, September.
    14. Steinar Strøm & Alessandra Venturini & Claudia Villosio, 2013. "Wage assimilation: migrants versus natives and foreign migrants versus internal migrants," RSCAS Working Papers 2013/30, European University Institute.
    15. Michael Fertig & Stefanie Schurer, 2007. "Earnings Assimilation of Immigrants in Germany: The Importance of Heterogeneity and Attrition Bias," SOEPpapers on Multidisciplinary Panel Data Research 30, DIW Berlin, The German Socio-Economic Panel (SOEP).
    16. Bertoli, S. & Fernández-Huertas Moraga, J. & Ortega, F., 2013. "Crossing the border: Self-selection, earnings and individual migration decisions," Journal of Development Economics, Elsevier, vol. 101(C), pages 75-91.
    17. Gabin Langevin & David Masclet & Fabien Moizeau & Emmanuel Peterle, 2017. "Ethnic gaps in educational attainment and labor-market outcomes: evidence from France," Education Economics, Taylor & Francis Journals, vol. 25(1), pages 84-111, January.
    18. Dostie, Benoit & Li, Jiang & Card, David & Parent, Daniel, 2023. "Employer policies and the immigrant–native earnings gap," Journal of Econometrics, Elsevier, vol. 233(2), pages 544-567.
    19. Valentine Fays & Benoît Mahy & François Rycx & Mélanie Volral, 2021. "Wage discrimination based on the country of birth: do tenure and product market competition matter?," Applied Economics, Taylor & Francis Journals, vol. 53(13), pages 1551-1571, March.
    20. Basilio, Leilanie & Bauer, Thomas K. & Sinning, Mathias, 2009. "Analyzing the labor market activity of immigrant families in Germany," Labour Economics, Elsevier, vol. 16(5), pages 510-520, October.

    More about this item

    Keywords

    Heckman's two step estimator; average marginal effect; marginal effect of the average individual; earnings assimilation;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • J40 - Labor and Demographic Economics - - Particular Labor Markets - - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hhs:gunwpe:0239. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Ann-Christin Räätäri Nyström (email available below). General contact details of provider: https://edirc.repec.org/data/naiguse.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.