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A Note on Variance Estimation for the Oaxaca Estimator of Average Treatment Effects

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  • Patrick M. Kline

Abstract

We derive the limiting distribution of the Oaxaca estimator of average treatment effects studied by Kline (2011). A consistent estimator of the asymptotic variance is proposed that makes use of standard regression routines. It is shown that ignoring uncertainty in group means will tend to lead to an overstatement of the asymptotic standard errors. Monte Carlo experiments examine the finite sample performance of competing approaches to inference.

Suggested Citation

  • Patrick M. Kline, 2014. "A Note on Variance Estimation for the Oaxaca Estimator of Average Treatment Effects," NBER Working Papers 19784, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:19784
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    References listed on IDEAS

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    1. Fortin, Nicole & Lemieux, Thomas & Firpo, Sergio, 2011. "Decomposition Methods in Economics," Handbook of Labor Economics, Elsevier.
    2. 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.
    3. Enrico Moretti, 2014. "Local Economic Development, Agglomeration Economies, and the Big Push: 100 Years of Evidence from the Tennessee Valley Authority," The Quarterly Journal of Economics, Oxford University Press, vol. 129(1), pages 275-331.
    4. Joshua Angrist & Miikka Rokkanen, 2012. "Wanna Get Away? RD Identification Away from the Cutoff," NBER Working Papers 18662, National Bureau of Economic Research, Inc.
    5. Vaart,A. W. van der, 2000. "Asymptotic Statistics," Cambridge Books, Cambridge University Press, number 9780521784504.
    6. Matias Busso & Jesse Gregory & Patrick Kline, 2013. "Assessing the Incidence and Efficiency of a Prominent Place Based Policy," American Economic Review, American Economic Association, vol. 103(2), pages 897-947, April.
    7. Patrick Kline, 2011. "Oaxaca-Blinder as a Reweighting Estimator," American Economic Review, American Economic Association, vol. 101(3), pages 532-537, May.
    8. Chesher, Andrew, 1995. "A Mirror Image Invariance for M-Estimators," Econometrica, Econometric Society, vol. 63(1), pages 207-211, January.
    9. Wooldridge, Jeffrey M., 2007. "Inverse probability weighted estimation for general missing data problems," Journal of Econometrics, Elsevier, vol. 141(2), pages 1281-1301, December.
    10. Heckman, James J. & Robb, Richard Jr., 1985. "Alternative methods for evaluating the impact of interventions : An overview," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 239-267.
    11. Jeffrey M. Wooldridge, 2002. "Inverse probability weighted M-estimators for sample selection, attrition and stratification," CeMMAP working papers CWP11/02, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    12. Oaxaca, Ronald L. & Ransom, Michael R., 1994. "On discrimination and the decomposition of wage differentials," Journal of Econometrics, Elsevier, vol. 61(1), pages 5-21, March.
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    Cited by:

    1. Takuya Hasebe, 2016. "Estimating the variance of decomposition effects," Applied Economics, Taylor & Francis Journals, vol. 48(20), pages 1902-1913, April.
    2. Słoczyński, Tymon, 2012. "New Evidence on Linear Regression and Treatment Effect Heterogeneity," MPRA Paper 39524, University Library of Munich, Germany.
    3. repec:oup:jafrec:v:26:y:2017:i:1:p:93-118. is not listed on IDEAS
    4. Antonio Cruz & Carol Newman & John Rand & Finn Tarp, 2017. "Learning by Exporting: The Case of Mozambican Manufacturing," Journal of African Economies, Centre for the Study of African Economies (CSAE), vol. 26(1), pages 93-118.

    More about this item

    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials
    • J7 - Labor and Demographic Economics - - Labor Discrimination

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