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Decomposition Methods in Economics

  • Fortin, Nicole
  • Lemieux, Thomas
  • Firpo, Sergio

This chapter provides a comprehensive overview of decomposition methods that have been developed since the seminal work of Oaxaca and Blinder in the early 1970s. These methods are used to decompose the difference in a distributional statistic between two groups, or its change over time, into various explanatory factors. While the original work of Oaxaca and Blinder considered the case of the mean, our main focus is on other distributional statistics besides the mean, such as quantiles, the Gini coefficient or the variance. We discuss the assumptions required for identifying the different elements of the decomposition, as well as various estimation methods proposed in the literature. We also illustrate how these methods work in practice by discussing existing applications and working through a set of empirical examples throughout the paper.

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This chapter was published in:
  • O. Ashenfelter & D. Card (ed.), 2011. "Handbook of Labor Economics," Handbook of Labor Economics, Elsevier, edition 1, volume 4, number 4.
  • This item is provided by Elsevier in its series Handbook of Labor Economics with number 4-01.
    Handle: RePEc:eee:labchp:4-01
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    1. Fitzenberger, Bernd & Kohn, Karsten & Wang, Qingwei, 2006. "The Erosion of Union Membership in Germany: Determinants, Densities, Decompositions," IZA Discussion Papers 2193, Institute for the Study of Labor (IZA).
    2. Keane, Michael P. & Todd, Petra E. & Wolpin, Kenneth I., 2011. "The Structural Estimation of Behavioral Models: Discrete Choice Dynamic Programming Methods and Applications," Handbook of Labor Economics, Elsevier.
    3. Blau, Francine D & Kahn, Lawrence M, 1992. "The Gender Earnings Gap: Learning from International Comparisons," American Economic Review, American Economic Association, vol. 82(2), pages 533-38, May.
    4. Hugo Nopo, 2003. "Matching as a Tool to Decompose Wage Gaps," Middlebury College Working Paper Series 0406, Middlebury College, Department of Economics.
    5. Sergio Firpo & Nicole M. Fortin & Thomas Lemieux, 2009. "Unconditional Quantile Regressions," Econometrica, Econometric Society, vol. 77(3), pages 953-973, 05.
    6. Francine D. Blau & Lawrence M. Kahn, 2003. "Understanding International Differences in the Gender Pay Gap," Journal of Labor Economics, University of Chicago Press, vol. 21(1), pages 106-144, January.
    7. Patrick Kline, 2011. "Oaxaca-Blinder as a Reweighting Estimator," American Economic Review, American Economic Association, vol. 101(3), pages 532-37, May.
    8. Joshua D. Angrist & Guido W. Imbens, 1995. "Identification and Estimation of Local Average Treatment Effects," NBER Technical Working Papers 0118, National Bureau of Economic Research, Inc.
    9. Patrick Mcewan & Jeffery Marshall, 2004. "Why does academic achievement vary across countries? Evidence from Cuba and Mexico," Education Economics, Taylor & Francis Journals, vol. 12(3), pages 205-217.
    10. Yun, Myeong-Su, 2003. "A Simple Solution to the Identification Problem in Detailed Wage Decompositions," IZA Discussion Papers 836, Institute for the Study of Labor (IZA).
    11. Richard B. Freeman, 1980. "Unionism and the dispersion of wages," Industrial and Labor Relations Review, ILR Review, Cornell University, ILR School, vol. 34(1), pages 3-23, October.
    12. 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.
    13. Heckman, James J & Smith, Jeffrey, 1997. "Making the Most Out of Programme Evaluations and Social Experiments: Accounting for Heterogeneity in Programme Impacts," Review of Economic Studies, Wiley Blackwell, vol. 64(4), pages 487-535, October.
    14. Marianne Bertrand & Kevin F. Hallock, 2001. "The Gender Gap in Top Corporate Jobs," ILR Review, Cornell University, ILR School, vol. 55(1), pages 3-21, October.
    15. Even, William E. & Macpherson, David A., 1990. "Plant size and the decline of unionism," Economics Letters, Elsevier, vol. 32(4), pages 393-398, April.
    16. Thomas Bauer & Mathias Sinning, 2006. "An Extension of the Blinder-Oaxaca Decomposition to Non-Linear Models," RWI Discussion Papers 0049, Rheinisch-Westfälisches Institut für Wirtschaftsforschung.
    17. Heckman, James J, 1974. "Shadow Prices, Market Wages, and Labor Supply," Econometrica, Econometric Society, vol. 42(4), pages 679-94, July.
    18. David H. Autor & Lawrence F. Katz & Melissa S. Kearney, 2005. "Rising Wage Inequality: The Role of Composition and Prices," NBER Working Papers 11628, National Bureau of Economic Research, Inc.
    19. Victor Chernozhukov & Ivan Fernandez-Val & Alfred Galichon, 2007. "Quantile And Probability Curves Without Crossing," Boston University - Department of Economics - Working Papers Series WP2007-011, Boston University - Department of Economics.
    20. Victor Chernozhukov & Ivan Fernandez-Val & Blaise Melly, 2013. "Inference on counterfactual distributions," CeMMAP working papers CWP17/13, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    21. Keane, Michael P & Wolpin, Kenneth I, 1997. "The Career Decisions of Young Men," Journal of Political Economy, University of Chicago Press, vol. 105(3), pages 473-522, June.
    22. Manski, C.F., 1989. "Nonparametric Bounds On Treatment Effects," Working papers 8909, Wisconsin Madison - Social Systems.
    23. Guido Imbens, 2000. "Efficient Estimation of Average Treatment Effects Using the Estimated Propensity Score," Econometric Society World Congress 2000 Contributed Papers 1166, Econometric Society.
    24. Daniel Parent & John S. Heywood, 2009. "Performance Pay And The White-Black Wage Gap," Departmental Working Papers 2009-07, McGill University, Department of Economics.
    25. Sergio Firpo, 2007. "Efficient Semiparametric Estimation of Quantile Treatment Effects," Econometrica, Econometric Society, vol. 75(1), pages 259-276, 01.
    26. David H. Autor & Frank Levy & Richard J. Murnane, 2003. "The Skill Content Of Recent Technological Change: An Empirical Exploration," The Quarterly Journal of Economics, MIT Press, vol. 118(4), pages 1279-1333, November.
    27. Heckman, James J & Ichimura, Hidehiko & Todd, Petra E, 1997. "Matching as an Econometric Evaluation Estimator: Evidence from Evaluating a Job Training Programme," Review of Economic Studies, Wiley Blackwell, vol. 64(4), pages 605-54, October.
    28. Martin Biewen, 2001. "Measuring the Effects of Socio-Economic Variables on the Income Distribution: An Application to the East German Transition Process," The Review of Economics and Statistics, MIT Press, vol. 83(1), pages 185-190, February.
    29. Dan A. Black & Amelia M. Haviland & Seth G. Sanders & Lowell J. Taylor, 2008. "Gender Wage Disparities among the Highly Educated," Journal of Human Resources, University of Wisconsin Press, vol. 43(3), pages 630-659.
    30. Bitler, Marianne P. & Gelbach, Jonah B. & Hoynes, Hilary W., 2005. "What Mean Impacts Miss: Distributional Effects of Welfare Reform Experiments," IZA Discussion Papers 1728, Institute for the Study of Labor (IZA).
    31. Woodcock, Simon, 2006. "Wage Differentials in the Presence of Unobserved Worker, Firm, and Match Heterogeneity," MPRA Paper 1341, University Library of Munich, Germany.
    32. Claudia Olivetti & Barbara Petrongolo, 2005. "Unequal Pay or Unequal Employment? A Cross-Country Analysis of Gender Gaps," Boston University - Department of Economics - Macroeconomics Working Papers Series WP2005-013, Boston University - Department of Economics, revised Aug 2008.
    33. Reimers, Cordelia W, 1983. "Labor Market Discrimination against Hispanic and Black Men," The Review of Economics and Statistics, MIT Press, vol. 65(4), pages 570-79, November.
    34. Dolton, P J & Makepeace, G H, 1986. "Sample Selection and Male-Female Earnings Differentials in the Graduate Labour Market," Oxford Economic Papers, Oxford University Press, vol. 38(2), pages 317-41, July.
    35. Javier Gardeazabal & Arantza Ugidos, 2004. "More on Identification in Detailed Wage Decompositions," The Review of Economics and Statistics, MIT Press, vol. 86(4), pages 1034-1036, November.
    36. William C. Horrace & Ronald L. Oaxaca, 2001. "Inter-industry wage differentials and the gender wage gap: An identification problem," Industrial and Labor Relations Review, ILR Review, Cornell University, ILR School, vol. 54(3), pages 611-618, April.
    37. Robert Barsky & John Bound & Kerwin Charles & Joseph Lupton, 2001. "Accounting for the Black-White Wealth Gap: A Nonparametric Approach," NBER Working Papers 8466, National Bureau of Economic Research, Inc.
    38. Card, David, 1996. "The Effect of Unions on the Structure of Wages: A Longitudinal Analysis," Econometrica, Econometric Society, vol. 64(4), pages 957-79, July.
    39. John DiNardo & David S. Lee, 2004. "Economic Impacts of New Unionization On Private Sector Employers: 1984-2001," The Quarterly Journal of Economics, MIT Press, vol. 119(4), pages 1383-1441, November.
    40. Gregory M. Duncan & Duane E. Leigh, 1980. "Wage determination in the union and non-union sectors: A sample selectivity approach," Industrial and Labor Relations Review, ILR Review, Cornell University, ILR School, vol. 34(1), pages 24-34, October.
    41. Susan Athey & Guido W. Imbens, 2006. "Identification and Inference in Nonlinear Difference-in-Differences Models," Econometrica, Econometric Society, vol. 74(2), pages 431-497, 03.
    42. Joseph G. Altonji & Rebecca M. Blank, . "Race and Gender in the Labor Market," IPR working papers 98-18, Institute for Policy Resarch at Northwestern University.
    43. Thomas Bauer & Silja Göhlmann & Mathias Sinning, 2006. "Gender Differences in Smoking Behavior," Health, Econometrics and Data Group (HEDG) Working Papers 06/07, HEDG, c/o Department of Economics, University of York.
    44. Busso, Matias & DiNardo, John & McCrary, Justin, 2009. "New Evidence on the Finite Sample Properties of Propensity Score Matching and Reweighting Estimators," IZA Discussion Papers 3998, Institute for the Study of Labor (IZA).
    45. Guido W. Imbens & Whitney K. Newey, 2009. "Identification and Estimation of Triangular Simultaneous Equations Models Without Additivity," Econometrica, Econometric Society, vol. 77(5), pages 1481-1512, 09.
    46. Derek Neal, 2002. "The Measured Black-White Wage Gap Among Women is Too Small," NBER Working Papers 9133, National Bureau of Economic Research, Inc.
    47. James J. Heckman, 1976. "The Common Structure of Statistical Models of Truncation, Sample Selection and Limited Dependent Variables and a Simple Estimator for Such Models," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 5, number 4, pages 475-492 National Bureau of Economic Research, Inc.
    48. Ronald L. Oaxaca & Michael R. Ransom, 1999. "Identification in Detailed Wage Decompositions," The Review of Economics and Statistics, MIT Press, vol. 81(1), pages 154-157, February.
    49. John DiNardo & Nicole M. Fortin & Thomas Lemieux, 1995. "Labor Market Institutions and the Distribution of Wages, 1973-1992: A Semiparametric Approach," NBER Working Papers 5093, National Bureau of Economic Research, Inc.
    50. Ben Jann, 2005. "Standard Errors for the Blinder-Oaxaca Decomposition," German Stata Users' Group Meetings 2005 03, Stata Users Group.
    51. Marianne Bertrand & Kevin Hallock, 1999. "The Gender Gap in Top Corporate Jobs," Working Papers 805, Princeton University, Department of Economics, Industrial Relations Section..
    52. Neal, Derek A & Johnson, William R, 1996. "The Role of Premarket Factors in Black-White Wage Differences," Journal of Political Economy, University of Chicago Press, vol. 104(5), pages 869-95, October.
    53. Francine D. Blau & Lawrence M. Kahn, 2006. "The U.S. Gender Pay Gap in the 1990S: Slowing Convergence," ILR Review, Cornell University, ILR School, vol. 60(1), pages 45-66, October.
    54. Cowell, Frank A, 1980. "On the Structure of Additive Inequality Measures," Review of Economic Studies, Wiley Blackwell, vol. 47(3), pages 521-31, April.
    55. Kennedy, Peter, 1986. "Interpreting Dummy Variables," The Review of Economics and Statistics, MIT Press, vol. 68(1), pages 174-75, February.
    56. Blundell, Richard & Gosling, Amanda & Ichimura, Hidehiko & Meghir, Costas, 2004. "Changes in the Distribution of Male and Female Wages Accounting for Employment Composition Using Bounds," IZA Discussion Papers 1350, Institute for the Study of Labor (IZA).
    57. 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.
    58. David Card & Dean R. Hyslop, 2005. "Estimating the Effects of a Time-Limited Earnings Subsidy for Welfare-Leavers," Econometrica, Econometric Society, vol. 73(6), pages 1723-1770, November.
    59. Gomulka, Joanna & Stern, Nicholas, 1990. "The Employment of Married Women in the United Kingdom 1970-83," Economica, London School of Economics and Political Science, vol. 57(226), pages 171-99, May.
    60. Francis Vella, 1998. "Estimating Models with Sample Selection Bias: A Survey," Journal of Human Resources, University of Wisconsin Press, vol. 33(1), pages 127-169.
    61. Fortin, N.M. & Lemieux, T., 1996. "Rank Regressions, Wage Distributions and the Gender Gap," Cahiers de recherche 9607, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    62. Joseph G. Altonji & Prashant Bharadwaj & Fabian Lange, 2008. "Changes in the Characteristics of American Youth: Implications for Adult Outcomes," NBER Working Papers 13883, National Bureau of Economic Research, Inc.
    63. Koenker, Roger W & Bassett, Gilbert, Jr, 1978. "Regression Quantiles," Econometrica, Econometric Society, vol. 46(1), pages 33-50, January.
    64. Thomas Lemieux, 2006. "Postsecondary Education and Increasing Wage Inequality," American Economic Review, American Economic Association, vol. 96(2), pages 195-199, May.
    65. Albrecht, James & Björklund, Anders & Vroman, Susan, 2001. "Is There a Glass Ceiling in Sweden?," IZA Discussion Papers 282, Institute for the Study of Labor (IZA).
    66. Kristin F. Butcher & John DiNardo, 1998. "The Immigrant and Native-born Wage Distributions: Evidence from United States Censuses," NBER Working Papers 6630, National Bureau of Economic Research, Inc.
    67. Rothe, Christoph, 2010. "Nonparametric estimation of distributional policy effects," Journal of Econometrics, Elsevier, vol. 155(1), pages 56-70, March.
    68. John M. Krieg & Paul Storer, 2006. "How Much Do Students Matter? Applying The Oaxaca Decomposition To Explain Determinants Of Adequate Yearly Progress," Contemporary Economic Policy, Western Economic Association International, vol. 24(4), pages 563-581, October.
    69. A Gosling & Stephen Machin, 1995. "The Changing Distribution of Male Wages in the UK," CEP Discussion Papers dp0271, Centre for Economic Performance, LSE.
    70. Krueger, Alan B & Summers, Lawrence H, 1988. "Efficiency Wages and the Inter-industry Wage Structure," Econometrica, Econometric Society, vol. 56(2), pages 259-93, March.
    71. Daniel Chiquiar & Gordon H. Hanson, 2005. "International Migration, Self-Selection, and the Distribution of Wages: Evidence from Mexico and the United States," Journal of Political Economy, University of Chicago Press, vol. 113(2), pages 239-281, April.
    72. Thomas Lemieux, 2006. "Increasing Residual Wage Inequality: Composition Effects, Noisy Data, or Rising Demand for Skill?," American Economic Review, American Economic Association, vol. 96(3), pages 461-498, June.
    73. James Heckman & Hidehiko Ichimura & Jeffrey Smith & Petra Todd, 1998. "Characterizing Selection Bias Using Experimental Data," Econometrica, Econometric Society, vol. 66(5), pages 1017-1098, September.
    74. Melly, Blaise, 2005. "Decomposition of differences in distribution using quantile regression," Labour Economics, Elsevier, vol. 12(4), pages 577-590, August.
    75. Blau, Francine D & Kahn, Lawrence M, 1997. "Swimming Upstream: Trends in the Gender Wage Differential in 1980s," Journal of Labor Economics, University of Chicago Press, vol. 15(1), pages 1-42, January.
    76. Chay, Kenneth Y. & Lee, David S., 2000. "Changes in relative wages in the 1980s Returns to observed and unobserved skills and black-white wage differentials," Journal of Econometrics, Elsevier, vol. 99(1), pages 1-38, November.
    77. Denise J. Doiron & W. Craig Riddell, 1994. "The Impact of Unionization on Male-Female Earnings Differences in Canada," Journal of Human Resources, University of Wisconsin Press, vol. 29(2), pages 504-534.
    78. Markus Frölich, 2004. "Finite-Sample Properties of Propensity-Score Matching and Weighting Estimators," The Review of Economics and Statistics, MIT Press, vol. 86(1), pages 77-90, February.
    79. Firpo, Sergio, 2010. "Identification and Estimation of Distributional Impacts of Interventions Using Changes in Inequality Measures," IZA Discussion Papers 4841, Institute for the Study of Labor (IZA).
    80. Blundell, Richard & Powell, James L., 2007. "Censored regression quantiles with endogenous regressors," Journal of Econometrics, Elsevier, vol. 141(1), pages 65-83, November.
    81. Juhn, Chinhui & Murphy, Kevin M & Pierce, Brooks, 1993. "Wage Inequality and the Rise in Returns to Skill," Journal of Political Economy, University of Chicago Press, vol. 101(3), pages 410-42, June.
    82. Foresi, S. & Paracchi, F., 1992. "The Conditional Distribution of Excess Returns: An Empirical Analysis," Working Papers 92-49, C.V. Starr Center for Applied Economics, New York University.
    83. Rosa L. Matzkin, 2003. "Nonparametric Estimation of Nonadditive Random Functions," Econometrica, Econometric Society, vol. 71(5), pages 1339-1375, 09.
    84. Ben Jann, 2008. "The Blinder–Oaxaca decomposition for linear regression models," Stata Journal, StataCorp LP, vol. 8(4), pages 453-479, December.
    85. John W. Kendrick, 1961. "Productivity Trends in the United States," NBER Books, National Bureau of Economic Research, Inc, number kend61-1, October.
    86. John DiNardo & Thomas Lemieux, 1997. "Diverging male wage inequality in the United States and Canada, 1981-1988: Do institutions explain the difference?," Industrial and Labor Relations Review, ILR Review, Cornell University, ILR School, vol. 50(4), pages 629-651, July.
    87. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 31(3), pages 129-137.
    88. François Bourguignon & Francisco Ferreira & Phillippe Leite, 2008. "Beyond Oaxaca–Blinder: Accounting for differences in household income distributions," Journal of Economic Inequality, Springer, vol. 6(2), pages 117-148, June.
    89. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-20, July.
    90. Donald, Stephen G & Green, David A & Paarsch, Harry J, 2000. "Differences in Wage Distributions between Canada and the United States: An Application of a Flexible Estimator of Distribution Functions in the Presence of Covariates," Review of Economic Studies, Wiley Blackwell, vol. 67(4), pages 609-33, October.
    91. José Mata & José A. F. Machado, 2005. "Counterfactual decomposition of changes in wage distributions using quantile regression," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(4), pages 445-465.
    92. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-25, April.
    93. Shorrocks, Anthony F, 1984. "Inequality Decomposition by Population Subgroups," Econometrica, Econometric Society, vol. 52(6), pages 1369-85, November.
    94. repec:spo:wpecon:info:hdl:2441/5rkqqmvrn4tl22s9mc4b6ga2g is not listed on IDEAS
    95. Judith Fields & Edward N. Wolff, 1995. "Interindustry Wage Differentials and the Gender Wage Gap," ILR Review, Cornell University, ILR School, vol. 49(1), pages 105-120, October.
    96. Judith Fields & Edward N. Wolff, 1995. "Interindustry wage differentials and the gender wage gap," Industrial and Labor Relations Review, ILR Review, Cornell University, ILR School, vol. 49(1), pages 105-120, October.
    97. Joseph G. Altonji & Rosa L. Matzkin, 2005. "Cross Section and Panel Data Estimators for Nonseparable Models with Endogenous Regressors," Econometrica, Econometric Society, vol. 73(4), pages 1053-1102, 07.
    98. Thomas Lemieux, 2002. "Decomposing changes in wage distributions: a unified approach," Canadian Journal of Economics, Canadian Economics Association, vol. 35(4), pages 646-688, November.
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