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Additive Hedonic Regression Models with Spatial Scaling Factors: An Application for Rents in Vienna

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  • Wolfgang Brunauer

    ()

  • Stefan Lang

    ()

  • Peter Wechselberger

    ()

  • Sven Bienert

    ()

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    Abstract

    We apply additive mixed regression models (AMM) to estimate hedonic price equations. Non-linear effects of continuous covariates as well as a smooth time trend are modeled non-parametrically through P-splines. Unobserved district-specific heterogeneity is modeled in two ways: First, by location specific intercepts with the postal code serving as a location variable. Second, in order to permit spatial variation in the nonlinear price gradients, we introduce multiplicative scaling factors for nonlinear covariates. This allows highly nonlinear implicit price functions to vary within a regularized framework, accounting for district-specific spatial heterogeneity. Using this model extension, we find substantial spatial variation in house price gradients, leading to a considerable improvement of model quality and predictive power.

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    File URL: http://eeecon.uibk.ac.at/wopec2/repec/inn/wpaper/2008-17.pdf
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    Bibliographic Info

    Paper provided by Faculty of Economics and Statistics, University of Innsbruck in its series Working Papers with number 2008-17.

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    Date of creation: Aug 2008
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    Handle: RePEc:inn:wpaper:2008-17

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    Web page: http://www.uibk.ac.at/fakultaeten/volkswirtschaft_und_statistik/index.html.en
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    Related research

    Keywords: Hedonic regression; submarkets; multiplicative spatial scaling factors; semiparametric models; P-splines;

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    1. Sheppard, Stephen, 1999. "Hedonic analysis of housing markets," Handbook of Regional and Urban Economics, in: P. C. Cheshire & E. S. Mills (ed.), Handbook of Regional and Urban Economics, edition 1, volume 3, chapter 41, pages 1595-1635 Elsevier.
    2. Anglin, Paul M & Gencay, Ramazan, 1996. "Semiparametric Estimation of a Hedonic Price Function," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 633-48, Nov.-Dec..
    3. Kelvin J. Lancaster, 1966. "A New Approach to Consumer Theory," Journal of Political Economy, University of Chicago Press, vol. 74, pages 132.
    4. Clapp, John M, 2003. "A Semiparametric Method for Valuing Residential Locations: Application to Automated Valuation," The Journal of Real Estate Finance and Economics, Springer, vol. 27(3), pages 303-20, November.
    5. E. E. Kammann & M. P. Wand, 2003. "Geoadditive models," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 52(1), pages 1-18.
    6. Okmyung Bin & Carlos Martins-Filho, . "Estimation of Hedonic Price Functions via Additive Nonparametric Regression," Working Papers 0116, East Carolina University, Department of Economics.
    7. R. Kelley Pace, 1998. "Appraisal Using Generalized Additive Models," Journal of Real Estate Research, American Real Estate Society, vol. 15(1), pages 77-100.
    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. Basu, Sabyasachi & Thibodeau, Thomas G, 1998. "Analysis of Spatial Autocorrelation in House Prices," The Journal of Real Estate Finance and Economics, Springer, vol. 17(1), pages 61-85, July.
    10. John M. Clapp & Hyon-Jung Kim & Alan E. Gelfand, 2002. "Predicting Spatial Patterns of House Prices Using LPR and Bayesian Smoothing," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 30(4), pages 505-532.
    11. Follain, James R. & Jimenez, Emmanuel, 1985. "Estimating the demand for housing characteristics: A survey and critique," Regional Science and Urban Economics, Elsevier, vol. 15(1), pages 77-107, February.
    12. Daniel J. Henderson & Christopher F. Parmeter & Subal C. Kumbhakar, 2007. "Nonparametric estimation of a hedonic price function," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(3), pages 695-699.
    13. Ruppert,David & Wand,M. P. & Carroll,R. J., 2003. "Semiparametric Regression," Cambridge Books, Cambridge University Press, number 9780521780506, October.
    14. Ruppert,David & Wand,M. P. & Carroll,R. J., 2003. "Semiparametric Regression," Cambridge Books, Cambridge University Press, number 9780521785167, October.
    15. John M. Clapp, 2004. "A Semiparametric Method for Estimating Local House Price Indices," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 32(1), pages 127-160, 03.
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