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Self-Selection and Subjective Well-Being: Copula Models with an Application to Public and Private Sector Work

  • Simon Luechinger
  • Alois Stutzer
  • Rainer Winkelmann

We discuss a new approach to specifying and estimating ordered probit models with endogenous switching, or with binary endogenous regressor, based on copula functions. These models provide a framework of analysis for self-selection in economic well-being equations, where assigment of regressors may be choice based, resulting from well-being maximization, rather than random. In an application to public and private sector job satisfaction, and using data on male workers from the German Socio-Economic Panel, we find that a model based on Frank's copula is preferred over two alternative models with independence and normal copula, respectively. The results suggest that public sector workers are negatively selected.

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File URL: http://www.diw.de/documents/publikationen/73/diw_01.c.89878.de/diw_sp0135.pdf
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Paper provided by DIW Berlin, The German Socio-Economic Panel (SOEP) in its series SOEPpapers on Multidisciplinary Panel Data Research with number 135.

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Length: 21 p.
Date of creation: 2008
Date of revision:
Handle: RePEc:diw:diwsop:diw_sp135
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  1. Lee, Lung-Fei, 1978. "Unionism and Wage Rates: A Simultaneous Equations Model with Qualitative and Limited Dependent Variables," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(2), pages 415-33, June.
  2. Dustmann, C. & van Soest, A., 1997. "Public and Private Sector Wages of Male Workers in Germany," Economics Working Papers eco97/13, European University Institute.
  3. Jed DeVaro, 2005. "Teams, Autonomy, and the Financial Performance of Firms," Labor and Demography 0508004, EconWPA.
  4. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 31(3), pages 129-137.
  5. Alberto HOLLY & Lucien GARDIOL & Gianfranco DOMENIGHETTI & Brigitte BISIG, 1998. "An Econometric Model of Health Care Utilization and Health Insurance in Switzerland," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 9803, Université de Lausanne, Faculté des HEC, DEEP.
  6. Andrew Clark, . "Job Satisfaction and Gender. Why are Women so Happy at Work?," Economics Discussion Papers 415, University of Essex, Department of Economics.
  7. Bruno S. Frey & Alois Stutzer, 2002. "What Can Economists Learn from Happiness Research?," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 402-435, June.
  8. Vuong, Quang H, 1989. "Likelihood Ratio Tests for Model Selection and Non-nested Hypotheses," Econometrica, Econometric Society, vol. 57(2), pages 307-33, March.
  9. Murray D. Smith, 2005. "Using Copulas to Model Switching Regimes with an Application to Child Labour," The Economic Record, The Economic Society of Australia, vol. 81(s1), pages S47-S57, 08.
  10. Stefan Boes & Rainer Winkelmann, 2005. "Ordered Response Models," SOI - Working Papers 0507, Socioeconomic Institute - University of Zurich.
  11. van der Gaag, Jacques & Vijverberg, Wim, 1988. "A Switching Regression Model for Wage Determinants in the Public and Private Sectors of a Developing Country," The Review of Economics and Statistics, MIT Press, vol. 70(2), pages 244-52, May.
  12. 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.
  13. Gronau, Reuben, 1974. "Wage Comparisons-A Selectivity Bias," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1119-43, Nov.-Dec..
  14. Trivedi, Pravin K. & Zimmer, David M., 2007. "Copula Modeling: An Introduction for Practitioners," Foundations and Trends(R) in Econometrics, now publishers, vol. 1(1), pages 1-111, April.
  15. van Ophem, Hans, 1999. "A General Method To Estimate Correlated Discrete Random Variables," Econometric Theory, Cambridge University Press, vol. 15(02), pages 228-237, April.
  16. Munkin, Murat K. & Trivedi, Pravin K., 2008. "Bayesian analysis of the ordered probit model with endogenous selection," Journal of Econometrics, Elsevier, vol. 143(2), pages 334-348, April.
  17. Heckman, James J, 1974. "Shadow Prices, Market Wages, and Labor Supply," Econometrica, Econometric Society, vol. 42(4), pages 679-94, July.
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