The Interpretation of Multiple Dummy Variable Coefficients: An Application to Industry Effects in Wage Equations
AbstractThe traditional textbook approach to avoiding the dummy trap problem is to delete a category from each qualitative variable. We illustrate an alternative constraint introduced by Sweeney and Ulveling (1972) which can be used to transform conventional dummy variable coefficients. This constraint serves to simplify their interpretation when the regression equation contains several qualitative variables and allows the computation of a coefficient for the deleted class. Using this constraint the intercept term can be written as the mean and the coefficients for the dummy variables are now interpreted as differences from the mean of the dependent variable rather than the deleted class. Computation of a standard error for the estimated coefficient of the deleted class is also discussed. An application to examine the importance of industry wage affiliation in explaining relative wages is presented.
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Bibliographic InfoPaper provided by The University of Melbourne in its series Department of Economics - Working Papers Series with number 716.
Length: 17 pages
Date of creation: 1999
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Postal: Department of Economics, The University of Melbourne, 5th Floor, Economics and Commerce Building, Victoria, 3010, Australia
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Web page: http://www.economics.unimelb.edu.au
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ECONOMETRICS ; MATHEMATICAL ANALYSIS;
Other versions of this item:
- Joe Hirschberg & Jenny Lye, 2001. "The interpretation of multiple dummy variable coefficients: an application to industry effects in wage equations," Applied Economics Letters, Taylor & Francis Journals, vol. 8(11), pages 701-707.
- C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
- C00 - Mathematical and Quantitative Methods - - General - - - General
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- Hipólito J. Simón & Raúl Ramos & Esteve Sanromà, 2005.
"Collective bargaining and regional wage differences in Spain: An empirical analysis,"
2005/7, Institut d'Economia de Barcelona (IEB).
- Hipolito Simon & Raul Ramos & Esteban Sanroma, 2006. "Collective bargaining and regional wage differences in Spain: an empirical analysis," Applied Economics, Taylor & Francis Journals, vol. 38(15), pages 1749-1760.
- Marco Corsino & Roberto Gabriele & Sandro Trento, 2010. "Job flows in Italian SMEs: a longitudinal analysis of growth, size and age," DISA Working Papers 1008, Department of Computer and Management Sciences, University of Trento, Italy, revised 22 Dec 2010.
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