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Tests of Inference for Dummy Variables in Regressions with Logarithmic Transformed Dependent Variables

  • Jenny N. Lye
  • Joseph G. Hirschberg

The interpretation of dummy variables in regressions where the dependent variable is subject to a log transformation has been of continuing interest in economics. However, in the main, these earlier papers do not deal with the inferential aspects of the parameters estimated. In this paper we compare the inference implied by the hypotheses tested on the linear parameter estimated in the model and the tests applied to the proportional change that this parameter implies. An important element in this analysis is the asymmetry introduced by the log transformation. Suggestions are made for the appropriate test procedure in this case. Examples are presented from some common econometric applications of this model in the estimation of hedonic price models and wage equations.

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Paper provided by The University of Melbourne in its series Department of Economics - Working Papers Series with number 852.

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Length: 17 pages
Date of creation: 2002
Date of revision:
Handle: RePEc:mlb:wpaper:852
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  1. Timothy J. Bartik & V. Kerry Smith, 1996. "Urban Amenities and Public Policy," Book chapters authored by Upjohn Institute researchers, in: V. Kerry Smith (ed.), Estimating Economic Values for Nature: Methods for Non-Market Valuation, pages 271-318 W.E. Upjohn Institute for Employment Research.
  2. Rosen, Sherwin, 1974. "Hedonic Prices and Implicit Markets: Product Differentiation in Pure Competition," Journal of Political Economy, University of Chicago Press, vol. 82(1), pages 34-55, Jan.-Feb..
  3. Halvorsen, Robert & Palmquist, Raymond, 1980. "The Interpretation of Dummy Variables in Semilogarithmic Equations," American Economic Review, American Economic Association, vol. 70(3), pages 474-75, June.
  4. Jeff Borland & Joseph Hirschberg & Jenny Lye, 2004. "Computer knowledge and earnings: evidence for Australia," Applied Economics, Taylor & Francis Journals, vol. 36(17), pages 1979-1993.
  5. Hayes, K.J. & Hirschberg, J. & Lye, J. & Taylor, L.L., 1999. "Multivariate Generated Regressors and Heteroskedasticity in a Cross-Section: an Application to the Value of Neighborhood Schools," Department of Economics - Working Papers Series 692, The University of Melbourne.
  6. Giles, David E. A., 1982. "The interpretation of dummy variables in semilogarithmic equations : Unbiased estimation," Economics Letters, Elsevier, vol. 10(1-2), pages 77-79.
  7. Suits, Daniel B, 1984. "Dummy Variables: Mechanics v. Interpretation," The Review of Economics and Statistics, MIT Press, vol. 66(1), pages 177-80, February.
  8. Kennedy, Peter E, 1981. "Estimation with Correctly Interpreted Dummy Variables in Semilogarithmic Equations [The Interpretation of Dummy Variables in Semilogarithmic Equations]," American Economic Review, American Economic Association, vol. 71(4), pages 801, September.
  9. Hirschberg, J. & Lye, J.N., 1999. "Wages and Alcohol Consumption, Smoking, Weight Gain and Exercising: Evidence on Australian Men and Women," Department of Economics - Working Papers Series 684, The University of Melbourne.
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