IDEAS home Printed from https://ideas.repec.org/a/ebl/ecbull/eb-13-00321.html
   My bibliography  Save this article

Combining information from Heckman and matching estimators: testing and controlling for hidden bias

Author

Listed:
  • Gerry H. Makepeace

    (Cardiff Business School, Cardiff University and IZA, Bonn)

  • Michael J. Peel

    (Cardiff Business School, Cardiff University)

Abstract

We demonstrate how the Heckman methodology can be applied to the Rosenbaum sensitivity model and the Rubin matched difference estimator. We develop a statistical test of the conditional independence assumption (CIA), based on Heckit for matched pairs. If the CIA is rejected, the method facilitates the estimation of matched treatment effects adjusted for hidden bias. We illustrate this methodology empirically for the full-time/part-time pay gap for British women. The proposed method has clear utility in establishing whether propensity score matched treatment estimates are prone to unobserved selection bias and for controlling for such bias

Suggested Citation

  • Gerry H. Makepeace & Michael J. Peel, 2013. "Combining information from Heckman and matching estimators: testing and controlling for hidden bias," Economics Bulletin, AccessEcon, vol. 33(3), pages 2422-2436.
  • Handle: RePEc:ebl:ecbull:eb-13-00321
    as

    Download full text from publisher

    File URL: http://www.accessecon.com/Pubs/EB/2013/Volume33/EB-13-V33-I3-P227.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Patrick Puhani, 2000. "The Heckman Correction for Sample Selection and Its Critique," Journal of Economic Surveys, Wiley Blackwell, vol. 14(1), pages 53-68, February.
    2. Richard Blundell & Howard Reed & Thomas M. Stoker, 2003. "Interpreting Aggregate Wage Growth: The Role of Labor Market Participation," American Economic Review, American Economic Association, vol. 93(4), pages 1114-1131, September.
    3. Roger Klein & Francis Vella, 2009. "A semiparametric model for binary response and continuous outcomes under index heteroscedasticity," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(5), pages 735-762.
    4. de Luna, Xavier & Johansson, Per, 2012. "Testing for Nonparametric Identification of Causal Effects in the Presence of a Quasi-Instrument," IZA Discussion Papers 6692, Institute of Labor Economics (IZA).
    5. Sara Connolly & Mary Gregory, 2009. "The part-time pay penalty: earnings trajectories of British Women," Oxford Economic Papers, Oxford University Press, vol. 61(suppl_1), pages 76-97, April.
    6. Alan Manning & Barbara Petrongolo, 2008. "The Part‐Time Pay Penalty for Women in Britain," Economic Journal, Royal Economic Society, vol. 118(526), pages 28-51, February.
    7. Martin Huber, 2014. "Treatment Evaluation in the Presence of Sample Selection," Econometric Reviews, Taylor & Francis Journals, vol. 33(8), pages 869-905, November.
    8. Stephen G. Donald & Yu-Chin Hsu & Robert P. Lieli, 2014. "Testing the Unconfoundedness Assumption via Inverse Probability Weighted Estimators of (L)ATT," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 32(3), pages 395-415, July.
    9. Newey, Whitney K & Powell, James L & Walker, James R, 1990. "Semiparametric Estimation of Selection Models: Some Empirical Results," American Economic Review, American Economic Association, vol. 80(2), pages 324-328, May.
    10. Black, Dan A. & Smith, J.A.Jeffrey A., 2004. "How robust is the evidence on the effects of college quality? Evidence from matching," Journal of Econometrics, Elsevier, vol. 121(1-2), pages 99-124.
    11. John Gibson, 2009. "The public sector pay premium, compensating differentials and unions: propensity score matching evidence from Australia, Canada, Great Britain and the United States," Economics Bulletin, AccessEcon, vol. 29(3), pages 2325-2332.
    12. Sascha O. Becker & Marco Caliendo, 2007. "Sensitivity analysis for average treatment effects," Stata Journal, StataCorp LP, vol. 7(1), pages 71-83, February.
    13. Remco H. Oostendorp, 2009. "Globalization and the Gender Wage Gap," The World Bank Economic Review, World Bank, vol. 23(1), pages 141-161, January.
    14. David Blanchflower & Alex Bryson, 2004. "The Union Wage Premium in the US and the UK," CEP Discussion Papers dp0612, Centre for Economic Performance, LSE.
    15. Ryan Pike, 2011. "Patterns of pay: Results of the Annual Survey of Hours and Earnings 1997 to 2010," Economic & Labour Market Review, Palgrave Macmillan;Office for National Statistics, vol. 5(3), pages 14-40, March.
    16. DiPrete, Thomas A. & Gangl, Markus, 2004. "Assessing bias in the estimation of causal effects: Rosenbaum bounds on matching estimators and instrumental variables estimation with imperfect instruments," Discussion Papers, Research Unit: Labor Market Policy and Employment SP I 2004-101, WZB Berlin Social Science Center.
    17. Firpo, Sergio & Fortin, Nicole M. & Lemieux, Thomas, 2011. "Occupational Tasks and Changes in the Wage Structure," IZA Discussion Papers 5542, Institute of Labor Economics (IZA).
    18. James J. Heckman & Vytlacil, Edward J., 2007. "Econometric Evaluation of Social Programs, Part I: Causal Models, Structural Models and Econometric Policy Evaluation," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 70, Elsevier.
    19. Eric S. Lin & Yu-lung Lue, 2010. "The Causal Effect of the Cram Schooling Timing Decision on Math Scores," Economics Bulletin, AccessEcon, vol. 30(3), pages 2330-2345.
    20. Rosenbaum, Paul R., 2005. "Heterogeneity and Causality: Unit Heterogeneity and Design Sensitivity in Observational Studies," The American Statistician, American Statistical Association, vol. 59, pages 147-152, May.
    21. Nawata, Kazumitsu, 1993. "A note on the estimation of models with sample-selection biases," Economics Letters, Elsevier, vol. 42(1), pages 15-24.
    22. Karen Mumford & Peter N. Smith, 2009. "What determines the part-time and gender earnings gaps in Britain: evidence from the workplace," Oxford Economic Papers, Oxford University Press, vol. 61(suppl_1), pages 56-75, April.
    23. Heckman, James J & Sedlacek, Guilherme, 1985. "Heterogeneity, Aggregation, and Market Wage Functions: An Empirical Model of Self-selection in the Labor Market," Journal of Political Economy, University of Chicago Press, vol. 93(6), pages 1077-1125, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Michael J. Peel, 2014. "Addressing unobserved endogeneity bias in accounting studies: control and sensitivity methods by variable type," Accounting and Business Research, Taylor & Francis Journals, vol. 44(5), pages 545-571, October.
    2. Liu, Haiyue & Wang, Yile & Huang, Ling & Zhang, Xueyong, 2021. "Outward FDI and stock price crash risk---Evidence from China," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 73(C).

    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. Black, Dan A. & Joo, Joonhwi & LaLonde, Robert & Smith, Jeffrey A. & Taylor, Evan J., 2022. "Simple Tests for Selection: Learning More from Instrumental Variables," Labour Economics, Elsevier, vol. 79(C).
    2. Marco Caliendo & Sabine Kopeinig, 2008. "Some Practical Guidance For The Implementation Of Propensity Score Matching," Journal of Economic Surveys, Wiley Blackwell, vol. 22(1), pages 31-72, February.
    3. Ahmed Elsayed & Andries Grip & Didier Fouarge, 2017. "Computer Use, Job Tasks and the Part-Time Pay Penalty," British Journal of Industrial Relations, London School of Economics, vol. 55(1), pages 58-82, March.
    4. Duvendack, Maren & Palmer-Jones, Richard, 2011. "The microfinance of reproduction and the reproduction of microfinance: understanding the connections between microfinance, empowerment, contraception and fertility in Bangladesh in the 1990s," MPRA Paper 32384, University Library of Munich, Germany.
    5. Raúl Ramos & Esteban Sanromá & Hipólito Simón, 2015. "An analysis of wage differentials between full-and part-time workers in Spain," Working Papers 2015/29, Institut d'Economia de Barcelona (IEB).
    6. Bagnoli, Lisa, 2019. "Does health insurance improve health for all? Heterogeneous effects on children in Ghana," World Development, Elsevier, vol. 124(C), pages 1-1.
    7. Elsayed, A.E.A. & de Grip, A. & Fouarge, D., 2014. "Job tasks, computer use, and the decreasing part-time pay penalty for women in the UK," ROA Research Memorandum 003, Maastricht University, Research Centre for Education and the Labour Market (ROA).
    8. G. Guidetti & G. Pedrini, 2015. "Systemic flexibility and human capital development: the relationship between non-standard employment and workplace training," Working Papers wp1019, Dipartimento Scienze Economiche, Universita' di Bologna.
    9. Raul Ramos & Esteban Sanromá & Hipólito Simón, 2016. "The part-time wage penalty: Does bargaining coverage outweigh regional differences in Spain?," The Economic and Labour Relations Review, , vol. 27(3), pages 368-386, September.
    10. Patricia Gallego Granados, 2019. "The Part-Time Wage Gap across the Wage Distribution," Discussion Papers of DIW Berlin 1791, DIW Berlin, German Institute for Economic Research.
    11. Michael J. Peel, 2014. "Addressing unobserved endogeneity bias in accounting studies: control and sensitivity methods by variable type," Accounting and Business Research, Taylor & Francis Journals, vol. 44(5), pages 545-571, October.
    12. Ismaël Mourifié & Marc Henry & Romuald Méango, 2020. "Sharp Bounds and Testability of a Roy Model of STEM Major Choices," Journal of Political Economy, University of Chicago Press, vol. 128(8), pages 3220-3283.
    13. Lanot, Gauthier & Walker, Ian, 1998. "The union/non-union wage differential: An application of semi-parametric methods," Journal of Econometrics, Elsevier, vol. 84(2), pages 327-349, June.
    14. Myck, Michal & Nici?ska, Anna & Morawski, Leszek, 2009. "Count Your Hours: Returns to Education in Poland," IZA Discussion Papers 4332, Institute of Labor Economics (IZA).
    15. Tao, Hung-Lin, 2014. "Height, weight, and entry earnings of female graduates in Taiwan," Economics & Human Biology, Elsevier, vol. 13(C), pages 85-98.
    16. Fernández-Kranz, Daniel & Rodríguez-Planas, Núria, 2011. "The part-time pay penalty in a segmented labor market," Labour Economics, Elsevier, vol. 18(5), pages 591-606, October.
    17. Marco Caliendo & Stefan Tübbicke, 2020. "New evidence on long-term effects of start-up subsidies: matching estimates and their robustness," Empirical Economics, Springer, vol. 59(4), pages 1605-1631, October.
    18. Manuel Arellano & Stéphane Bonhomme, 2017. "Quantile Selection Models With an Application to Understanding Changes in Wage Inequality," Econometrica, Econometric Society, vol. 85, pages 1-28, January.
    19. Ashimwe, Olive, 2016. "An Economic Analysis Of Impact Of Weather Index-Based Crop Insurance On Household Income In Huye District Of Rwanda," Research Theses 265675, Collaborative Masters Program in Agricultural and Applied Economics.
    20. Chiputwa, Brian & Spielman, David J. & Qaim, Matin, 2015. "Food Standards, Certification, and Poverty among Coffee Farmers in Uganda," World Development, Elsevier, vol. 66(C), pages 400-412.

    More about this item

    Keywords

    matching; Rosenbaum bounds; Heckit; unobserved bias; women's part-time pay penalty;
    All these keywords.

    JEL classification:

    • C1 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General
    • J3 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs

    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:ebl:ecbull:eb-13-00321. 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: John P. Conley (email available below). General contact details of provider: .

    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.