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

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  • Jenny N. Lye
  • Joseph G. Hirschberg

Abstract

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.

Suggested Citation

  • Jenny N. Lye & Joseph G. Hirschberg, 2002. "Tests of Inference for Dummy Variables in Regressions with Logarithmic Transformed Dependent Variables," Department of Economics - Working Papers Series 852, The University of Melbourne.
    • Handle: RePEc:mlb:wpaper:852
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    File URL: http://www.economics.unimelb.edu.au/downloads/wpapers-02/852.pdf
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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 801-801, September.
    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. 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.
    6. Suits, Daniel B, 1984. "Dummy Variables: Mechanics v. Interpretation," The Review of Economics and Statistics, MIT Press, vol. 66(1), pages 177-180, February.
    7. 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.
    8. 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..
    9. Halvorsen, Robert & Palmquist, Raymond, 1980. "The Interpretation of Dummy Variables in Semilogarithmic Equations," American Economic Review, American Economic Association, vol. 70(3), pages 474-475, June.
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    Cited by:

    1. Davor Kunovac & Enes Đozović & Gorana Lukinić & Andreja Pufnik, 2008. "Use of the Hedonic Method to Calculate an Index of Real Estate Prices in Croatia," Working Papers 19, The Croatian National Bank, Croatia.
    2. Patrick Georges & Aylin Seçkin, 2013. "Black notes and white noise: a hedonic approach to auction prices of classical music manuscripts," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 37(1), pages 33-60, February.
    3. Patrick Georges & Aylin Seçkin, 2012. "Auction Prices of Classical Music Manuscripts – A Hedonic Approach," Working Papers 1202E, University of Ottawa, Department of Economics.
    4. Ayuso-Díaz, Alejandro, 2022. "Natural trading partners versus empires in East and Southeast Asia regional integration (1840-1938)," Journal of the Japanese and International Economies, Elsevier, vol. 63(C).

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    More about this item

    Keywords

    Hypothesis tests; lognormal distribution; measures of proportional change; wage equation; hedonic price model;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • R15 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Econometric and Input-Output Models; Other Methods
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials

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