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Normalized Equation and Decomposition Analysis: Computation and Inference

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Author Info
Myeong-Su Yun () (Tulane University and IZA Bonn)

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Abstract

This paper joins discussions on normalized regression and decomposition equations in devising a simple and general algorithm for obtaining the normalized regression and applying it to the Oaxaca decomposition. This resolves the invariance problem in the detailed Oaxaca decomposition. An algorithm to calculate an asymptotic covariance matrix for estimates in the normalized regression for hypothesis testing is also derived. We extend these algorithms to non-linear equations where the underlying equation is linear and decompose differences in the first moment.

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Publisher Info
Paper provided by Institute for the Study of Labor (IZA) in its series IZA Discussion Papers with number 1822.

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Length: 25 pages
Date of creation: Oct 2005
Date of revision:
Handle: RePEc:iza:izadps:dp1822

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Related research
Keywords: detailed decomposition; invariance; identification; characteristics effect; coefficients effect; normalized regression;

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Find related papers by JEL classification:
C20 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - General
J70 - Labor and Demographic Economics - - Labor Discrimination - - - General

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. 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). [Downloadable!]
    Other versions:
  2. John P. Haisken-DeNew & Christoph M. Schmidt, . "Inter-Industry and Inter-Region Differentials: Mechanics and Interpretation," Working Papers 9504, SELAPO Center for Human Resources. [Downloadable!]
  3. Edin, Per-Anders & Zetterberg, Johnny, 1992. "Interindustry Wage Differentials: Evidence from Sweden and a Comparison with the United States," American Economic Review, American Economic Association, vol. 82(5), pages 1341-49, December. [Downloadable!] (restricted)
  4. Ham, John C & Svejnar, Jan & Terrell, Katherine, 1998. "Unemployment and the Social Safety Net during Transitions to a Market Economy: Evidence from the Czech and Slovak Republics," American Economic Review, American Economic Association, vol. 88(5), pages 1117-42, December. [Downloadable!] (restricted)
    Other versions:
  5. 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, 04. [Downloadable!] (restricted)
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  6. Greene, William H & Seaks, Terry G, 1991. "The Restricted Least Squares Estimator: A Pedagogical Note," The Review of Economics and Statistics, MIT Press, vol. 73(3), pages 563-67, August. [Downloadable!] (restricted)
  7. 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. [Downloadable!] (restricted)
  8. Abowd, John M & Killingsworth, Mark R, 1984. "Do Minority-White Unemployment Differences Really Exist?," Journal of Business & Economic Statistics, American Statistical Association, vol. 2(1), pages 64-72, January.
  9. 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. [Downloadable!] (restricted)
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  10. Robert W. Fairlie, 2003. "An Extension of the Blinder-Oaxaca Decomposition Technique to Logit and Probit Models," Working Papers 873, Economic Growth Center, Yale University. [Downloadable!]
  11. Yun, Myeong-Su, 2004. "Decomposing differences in the first moment," Economics Letters, Elsevier, vol. 82(2), pages 275-280, February. [Downloadable!] (restricted)
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  12. Suits, Daniel B, 1984. "Dummy Variables: Mechanics v. Interpretation," The Review of Economics and Statistics, MIT Press, vol. 66(1), pages 177-80, February. [Downloadable!] (restricted)
  13. Even, William E. & Macpherson, David A., 1990. "Plant size and the decline of unionism," Economics Letters, Elsevier, vol. 32(4), pages 393-398, April. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Carlos Gradín, 2007. "Why Is Poverty So High Among Afro-Brazilians? A Decomposition Analysis of the Racial Poverty Gap," IZA Discussion Papers 2809, Institute for the Study of Labor (IZA). [Downloadable!]
  2. Mihails Hazans & Ija Trapeznikova & Olga Rastrigina, 2008. "Ethnic and parental effects on schooling outcomes before and during the transition: evidence from the Baltic countries," Journal of Population Economics, Springer, vol. 21(3), pages 719-749, July. [Downloadable!] (restricted)
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