IDEAS home Printed from https://ideas.repec.org/p/nbr/nberwo/0172.html

Sample Selection Bias As a Specification Error (with an Application to the Estimation of Labor Supply Functions)

Author

Listed:
  • James J. Heckman

Abstract

In this paper, I present a simple characterization of the sample selection bias problem that is also applicable to the conceptually distinct econometric problems that arise from truncated samples and from models with limited dependent variables. The problem of sample selection bias is fit within the conventional specification error framework of Griliches and Theil. A simple estimator is discussed that enables analysts to utilize ordinary regression methods to estimate models free of selection bias. The techniques discussed here are applied to re-estimate and test a model of female labor supply developed by the author. (1974). This paper is in three parts. In the first section, selection bias is presented within the specification error framework. In this section, general distributional assumptions are maintained. In section two, specific results are presented for the case of normal regression disturbances. Simple estimators are proposed and discussed. In the third section, empirical results are presented.

Suggested Citation

  • James J. Heckman, 1977. "Sample Selection Bias As a Specification Error (with an Application to the Estimation of Labor Supply Functions)," NBER Working Papers 0172, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:0172
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/w0172.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Cragg, John G, 1971. "Some Statistical Models for Limited Dependent Variables with Application to the Demand for Durable Goods," Econometrica, Econometric Society, vol. 39(5), pages 829-844, September.
    2. Amemiya, Takeshi, 1974. "Multivariate Regression and Simultaneous Equation Models when the Dependent Variables Are Truncated Normal," Econometrica, Econometric Society, vol. 42(6), pages 999-1012, November.
    3. Becker, Gary S, 1974. "A Theory of Marriage: Part II," Journal of Political Economy, University of Chicago Press, vol. 82(2), pages 11-26, Part II, .
    4. Reuben Gronau, 1974. "The Effect of Children on the Housewife's Value of Time," NBER Chapters, in: Economics of the Family: Marriage, Children, and Human Capital, pages 457-490, National Bureau of Economic Research, Inc.
    5. Gary S. Becker, 1974. "A Theory of Marriage," NBER Chapters, in: Economics of the Family: Marriage, Children, and Human Capital, pages 299-351, National Bureau of Economic Research, Inc.
    6. Heckman, James J, 1974. "Shadow Prices, Market Wages, and Labor Supply," Econometrica, Econometric Society, vol. 42(4), pages 679-694, July.
    7. Rosen, Harvey S, 1976. "Taxes in a Labor Supply Model with Joint Wage-Hours Determination," Econometrica, Econometric Society, vol. 44(3), pages 485-507, May.
    8. Lewis, H Gregg, 1974. "Comments on Selectivity Biases in Wage Comparisons," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1145-1155, Nov.-Dec..
    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. Christopher L. Gilbert & Duo Qin, 2005. "The First Fifty Years of Modern Econometrics," Working Papers 544, Queen Mary University of London, School of Economics and Finance.
    2. Madan M. Dey & Ferdinand J. Paraguas & Patrick Kambewa & Diemuth E. Pemsl, 2010. "The impact of integrated aquaculture–agriculture on small‐scale farms in Southern Malawi," Agricultural Economics, International Association of Agricultural Economists, vol. 41(1), pages 67-79, January.
    3. Hajivassiliou, Vassilis A. & Ruud, Paul A., 1986. "Classical estimation methods for LDV models using simulation," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 40, pages 2383-2441, Elsevier.
    4. James J. Heckman, 2005. "Micro Data, Heterogeneity and the Evaluation of Public Policy Part 2," The American Economist, Sage Publications, vol. 49(1), pages 16-44, March.
    5. Zvi Eckstein & Osnat Lifshitz, 2011. "Dynamic Female Labor Supply," Econometrica, Econometric Society, vol. 79(6), pages 1675-1726, November.
    6. Robert Kaestner, 1995. "The Effects of Cocaine and Marijuana Use on Marriage and Marital Stability," NBER Working Papers 5038, National Bureau of Economic Research, Inc.
    7. Kota Ogasawara & Mizuki Komura, 2022. "Consequences of war: Japan’s demographic transition and the marriage market," Journal of Population Economics, Springer;European Society for Population Economics, vol. 35(3), pages 1037-1069, July.
    8. Alger, Ingela, 2021. "On the evolution of male competitiveness," Journal of Economic Behavior & Organization, Elsevier, vol. 190(C), pages 228-254.
    9. Ravi Prakash & Abhishek Singh, 2014. "Who Marries Whom? Changing Mate Selection Preferences in Urban India and Emerging Implications on Social Institutions," Population Research and Policy Review, Springer;Southern Demographic Association (SDA), vol. 33(2), pages 205-227, April.
    10. Rania Gihleb & Osnat Lifshitz, 2022. "Dynamic Effects of Educational Assortative Mating on Labor Supply," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 46, pages 302-327, October.
    11. Grossbard, Shoshana, 2025. "Spouses as home health workers, childcare workers and cooks: Insights for applied research," Economics & Human Biology, Elsevier, vol. 59(C).
    12. repec:esx:essedp:762 is not listed on IDEAS
    13. Eugene Choo & Shannon Seitz, 2013. "The Collective Marriage Matching Model: Identification, Estimation, and Testing," Advances in Econometrics, in: Structural Econometric Models, volume 31, pages 291-336, Emerald Group Publishing Limited.
    14. Lepinteur, Anthony & Flèche, Sarah & Powdthavee, Nattavudh, 2016. "My Baby Takes the Morning Train: Gender Identity, Fairness, and Relative Labor Supply Within Households," IZA Discussion Papers 10382, IZA Network @ LISER.
    15. Steven F. Koch, 2005. "Love and Addiction: The Importance of Commitment," Working Papers 200516, University of Pretoria, Department of Economics.
    16. Helen V. Tauchen & Ann Dryden Witte & Sharon K. Long, 1985. "Domestic Violence: A Non-random Affair," NBER Working Papers 1665, National Bureau of Economic Research, Inc.
    17. Torres, Marcelo de O. & Felthoven, Ronald G., 2014. "Productivity growth and product choice in catch share fisheries: The case of Alaska pollock," Marine Policy, Elsevier, vol. 50(PA), pages 280-289.
    18. Tetyana Zubro, 2014. "Vnútropolitické Determinanty Krízovej Situácie Na Ukrajine," Almanach (Actual Issues in World Economics and Politics), Ekonomická univerzita, Fakulta medzinárodných vzťahov, vol. 9(1), pages 73-85.
    19. Zvi Eckstein & Michael Keane & Osnat Lifshitz, 2019. "Career and Family Decisions: Cohorts Born 1935–1975," Econometrica, Econometric Society, vol. 87(1), pages 217-253, January.
    20. Ran Abramitzky & Adeline Delavande & Luis Vasconcelos, 2011. "Marrying Up: The Role of Sex Ratio in Assortative Matching," American Economic Journal: Applied Economics, American Economic Association, vol. 3(3), pages 124-157, July.
    21. repec:hum:wpaper:sfb649dp2005-046 is not listed on IDEAS
    22. Daša Adašková, 2014. "Recenzia - Ivančík, Radoslav A Jurčák, Vojtech: Mierové Operácie Vybraných Organizácií Medzinárodného Krízového Manažmentu," Almanach (Actual Issues in World Economics and Politics), Ekonomická univerzita, Fakulta medzinárodných vzťahov, vol. 9(1), pages 123-126.

    More about this item

    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:nbr:nberwo:0172. 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: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/nberrus.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.