IDEAS home Printed from https://ideas.repec.org/p/cgc/wpaper/006.html

Estimating the Variance of Decomposition Effects

Author

Listed:
  • Takuya Hasebe

    (Faculty of Liberal Arts, Sophia University)

Abstract

We derive the asymptotic variance of the Blinder-Oaxaca decomposition effects. We show that the delta method approach that builds on the assumption of fixed regressors understates true variability of the decomposition effects when regressors are stochastic. Our proposed variance estimator takes randomness of regressors into consideration. Our approach is applicable to both the linear and nonlinear decompositions, for the latter of which only a bootstrap method is an option. As our derivation follows the general framework of m-estimation, it is straightforward to extend to the cluster-robust variance estimator. We demonstrate the finite-sample performance of our variance estimator with a Monte Carlo study and present a real-data application.

Suggested Citation

  • Takuya Hasebe, 2015. "Estimating the Variance of Decomposition Effects," Working Papers 6, City University of New York Graduate Center, Ph.D. Program in Economics.
    • Handle: RePEc:cgc:wpaper:006
    as

    Download full text from publisher

    File URL: http://wfs.gc.cuny.edu/Economics/RePEc/cgc/wpaper/CUNYGC-WP006.pdf
    File Function: First version, April 2015
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. A. Colin Cameron & Jonah B. Gelbach & Douglas L. Miller, 2011. "Robust Inference With Multiway Clustering," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 29(2), pages 238-249, April.
    2. Kline, Patrick, 2014. "A note on variance estimation for the Oaxaca estimator of average treatment effects," Economics Letters, Elsevier, vol. 122(3), pages 428-431.
    3. Yun, Myeong-Su, 2004. "Decomposing differences in the first moment," Economics Letters, Elsevier, vol. 82(2), pages 275-280, February.
    4. A. Colin Cameron & Jonah B. Gelbach & Douglas L. Miller, 2008. "Bootstrap-Based Improvements for Inference with Clustered Errors," The Review of Economics and Statistics, MIT Press, vol. 90(3), pages 414-427, August.
    5. Newey, Whitney K., 1984. "A method of moments interpretation of sequential estimators," Economics Letters, Elsevier, vol. 14(2-3), pages 201-206.
    6. Thomas Bauer & Silja Göhlmann & Mathias Sinning, 2007. "Gender differences in smoking behavior," Health Economics, John Wiley & Sons, Ltd., vol. 16(9), pages 895-909, September.
    7. Ben Jann, 2008. "The Blinder–Oaxaca decomposition for linear regression models," Stata Journal, StataCorp LLC, vol. 8(4), pages 453-479, December.
    8. Oaxaca, Ronald, 1973. "Male-Female Wage Differentials in Urban Labor Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(3), pages 693-709, October.
    9. Thomas Bauer & Mathias Sinning, 2008. "An extension of the Blinder–Oaxaca decomposition to nonlinear models," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 92(2), pages 197-206, May.
    10. Thomas N. Daymonti & Paul J. Andrisani, 1984. "Job Preferences, College Major, and the Gender Gap in Earnings," Journal of Human Resources, University of Wisconsin Press, vol. 19(3), pages 408-428.
    11. Cameron,A. Colin & Trivedi,Pravin K., 2005. "Microeconometrics," Cambridge Books, Cambridge University Press, number 9780521848053, January.
    12. Adrian Pagan, 1986. "Two Stage and Related Estimators and Their Applications," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(4), pages 517-538.
    13. Alan S. Blinder, 1973. "Wage Discrimination: Reduced Form and Structural Estimates," Journal of Human Resources, University of Wisconsin Press, vol. 8(4), pages 436-455.
    14. Moulton, Brent R., 1986. "Random group effects and the precision of regression estimates," Journal of Econometrics, Elsevier, vol. 32(3), pages 385-397, August.
    15. Thomas Bauer & Mathias Sinning, 2010. "Blinder-Oaxaca decomposition for Tobit models," Applied Economics, Taylor & Francis Journals, vol. 42(12), pages 1569-1575.
    16. Patrick Kline, 2011. "Oaxaca-Blinder as a Reweighting Estimator," American Economic Review, American Economic Association, vol. 101(3), pages 532-537, May.
    17. Murphy, Kevin M & Topel, Robert H, 2002. "Estimation and Inference in Two-Step Econometric Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 88-97, January.
    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. Arun Advani & Tymon Słoczyński, 2013. "Mostly harmless simulations? On the internal validity of empirical Monte Carlo studies," CeMMAP working papers 64/13, Institute for Fiscal Studies.
    2. Owen O’Donnell & Eddy van Doorslaer & Adam Wagstaff, 2012. "Decomposition of Inequalities in Health and Health Care," Chapters, in: Andrew M. Jones (ed.), The Elgar Companion to Health Economics, Second Edition, chapter 17, Edward Elgar Publishing.
    3. Boris Kaiser, 2016. "Decomposing differences in arithmetic means: a doubly robust estimation approach," Empirical Economics, Springer, vol. 50(3), pages 873-899, May.
    4. Powers, Daniel A. & Yun, Myeong-Su, 2009. "Multivariate Decomposition for Hazard Rate Models," IZA Discussion Papers 3971, IZA Network @ LISER.
    5. Wolff, François-Charles, 2012. "Decomposition of non-linear models using simulated residuals," Economics Letters, Elsevier, vol. 116(3), pages 346-348.
    6. Juan Acosta-Ballesteros & María del Pilar Osorno-del Rosal & Olga María Rodríguez-Rodríguez, 2021. "Measuring the effect of gender segregation on the gender gap in time-related underemployment," Journal for Labour Market Research, Springer;Institute for Employment Research/ Institut für Arbeitsmarkt- und Berufsforschung (IAB), vol. 55(1), pages 1-16, December.
    7. Domenico Depalo & Santiago Pereda-Fernández, 2023. "The differential impact by gender of the Covid-19 pandemic on the labor outcomes of older adults," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 14(3), pages 503-553, December.
    8. Fortin, Nicole & Lemieux, Thomas & Firpo, Sergio, 2011. "Decomposition Methods in Economics," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 4, chapter 1, pages 1-102, Elsevier.
    9. Vassilis Monastiriotis & Angelo Martelli, 2021. "Crisis, Adjustment and Resilience in the Greek Labor Market: An Unemployment Decomposition Approach," International Regional Science Review, , vol. 44(1), pages 85-112, January.
    10. Stefanie Schurer, 2008. "Labour Market Outcomes of Second Generation Immigrants: How Heterogeneous Are They Really?," Melbourne Institute Working Paper Series wp2008n14, Melbourne Institute of Applied Economic and Social Research, The University of Melbourne.
    11. Essama-Nssah, B., 2012. "Identification of sources of variation in poverty outcomes," Policy Research Working Paper Series 5954, The World Bank.
    12. Pilar Beneito & Maria E. Rochina-Barrachina & Amparo Sanchis, 2023. "Female R&D teams and patents as quality signals in innovative firms," Economics of Innovation and New Technology, Taylor & Francis Journals, vol. 32(7), pages 891-922, October.
    13. Laetitia Duval & François-Charles Wolff, 2016. "Emigration intentions of Roma: evidence from Central and South-East Europe," Post-Communist Economies, Taylor & Francis Journals, vol. 28(1), pages 87-107, January.
    14. Brandon Vick, 2017. "Measuring links between labor monopsony and the gender pay gap in Brazil," IZA Journal of Migration and Development, Springer;Forschungsinstitut zur Zukunft der Arbeit GmbH (IZA), vol. 7(1), pages 1-28, December.
    15. Oscar Molina Tejerina & Luis Castro Peñarrieta, "undated". "Unexplained Wage Gaps in the Tradable and Nontradable Sectors: Cross-Sectional Evidence by Gender in Bolivia," Investigación & Desarrollo 0120, Universidad Privada Boliviana.
    16. Arceo-Gómez, Eva O. & Campos-Vázquez, Raymundo M., 2014. "Evolución de la brecha salarial de género en México," El Trimestre Económico, Fondo de Cultura Económica, vol. 0(323), pages .619-653, julio-sep.
    17. A. Colin Cameron & Douglas L. Miller, 2010. "Robust Inference with Clustered Data," Working Papers 106, University of California, Davis, Department of Economics.
    18. Kalb, Guyonne & Le, Trinh & Hunter, Boyd & Leung, Felix, 2012. "Decomposing Differences in Labour Force Status between Indigenous and Non-Indigenous Australians," IZA Discussion Papers 6808, IZA Network @ LISER.
    19. Chris Dawson & Michail Veliziotis & Benjamin Hopkins, 2017. "Temporary employment, job satisfaction and subjective well-being," Economic and Industrial Democracy, Department of Economic History, Uppsala University, Sweden, vol. 38(1), pages 69-98, February.
    20. Brahim Boudarbat & Claude Montmarquette, 2020. "Y a-t-il discrimination à l’embauche des jeunes Maghrébins au Québec ? Résultats d’une expérience contrôlée à Montréal," CIRANO Project Reports 2020rp-26, CIRANO.

    More about this item

    Keywords

    ;
    ;
    ;

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
    • J70 - Labor and Demographic Economics - - Labor Discrimination - - - 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:cgc:wpaper:006. 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: David A. Jaeger (email available below). General contact details of provider: https://edirc.repec.org/data/dgcunus.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.