Skip to main content

Hedonic House Price Modeling Based on Multilevel Structured Additive Regression

  • Chapter
  • First Online:
Computational Approaches for Urban Environments

Part of the book series: Geotechnologies and the Environment ((GEOTECH,volume 13))

Abstract

This chapter reviews recent developments in hedonic modeling of house prices based on structured additive regression (STAR) models. In STAR models, continuous covariates are modeled as P(enalized)-splines. Furthermore, random effects for spatial indexes, smooth functions of two-dimensional surfaces, and (spatially) varying coefficient terms may also be estimated using this methodology. Based on hierarchical STAR models, we discuss a number of useful extensions. With respect to value-at-risk concepts, financial institutions are often not only interested in the expected value but also in different quantiles of the distribution of real estate prices. To meet these requirements, we apply multilevel STAR models for location scale and shape (GAMLSS type regression) and a Bayesian version of quantile regression. As another extension, we sketch multiplicative region-specific scaling factors for nonlinear covariates in order to permit spatial variation in the nonlinear price gradients.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Banerjee S, Gelfand AE, Knight JR, Sirmans CF (2004) Spatial modeling of house prices using normalized distance-weighted sums of stationary processes. J Bus Econ Stat 22:206–213

    Article  Google Scholar 

  • Bivand R (2014) spdep: spatial dependence: weighting schemes, statistics and models. R package version 0.5–71

    Google Scholar 

  • Brezger A, Steiner W (2008) Monotonic regression based on Bayesian P-splines: an application to estimating price response functions from store-level scanner data. J Bus Econ Stat 26:90–104

    Article  Google Scholar 

  • Brezger A, Kneib T, Lang S (2005) BayesX: analyzing Bayesian structured additive regression models. J Stat Softw 14(11):1–22

    Google Scholar 

  • Brunauer W, Lang S, Wechselberger P, Bienert S (2010) Additive hedonic regression models with spatial scaling factors: an application for rents in Vienna. J Real Estate Finance Econ 40:390–410

    Article  Google Scholar 

  • Brunauer W, Lang S, Umlauf N (2013) Modeling house prices using multilevel structured additive regression. Stat Model 13:95–123

    Article  Google Scholar 

  • Can A (1998) GIS and spatial analysis of housing and mortgage markets. J Hous Res 9(1):61–86

    Google Scholar 

  • Cohen JP, Coughlin CC (2008) Spatial hedonic models of airport noise, proximity, and housing prices. J Reg Sci 48:859–878

    Article  Google Scholar 

  • Eilers PHC, Marx BD (1996) Flexible smoothing using B-splines and penalized likelihood. Stat Sci 11:89–121

    Article  Google Scholar 

  • Fahrmeir L, Kneib T, Lang S (2004) Penalized structured additive regression for space-time data: a Bayesian perspective. Stat Sin 14:731–761

    Google Scholar 

  • Fahrmeir L, Kneib T, Lang S, Marx B (2013) Regression: models, methods and applications. Springer, Berlin/New York

    Book  Google Scholar 

  • Follain J, Jimenez E (1985) Estimating the demand for housing characteristics: a survey and critique. Reg Sci Urban Econ 15:77–107

    Article  Google Scholar 

  • Gelman A, Hill J (2006) Data analysis using regression and multilevel/hierarchical models. Cambridge University Press, Leiden

    Book  Google Scholar 

  • Helbich M, Brunauer W, Vaz E, Nijkamp P (2014) Spatial heterogeneity in hedonic house price models: the case of Austria. Urban Stud 51:390–411

    Article  Google Scholar 

  • Kamman EE, Wand MP (2003) Geoadditive models. J R Stat Soc C 52:1–18

    Article  Google Scholar 

  • Klein N, Kneib T, Lang S (2013) Bayesian structured additive distributional regression. Working paper 2013–23, working papers in economics and statistics, research platform empirical and experimental economics, University of Innsbruck

    Google Scholar 

  • Koenker R (2005) Quantile regression. Cambridge University Press, Cambridge/New York

    Book  Google Scholar 

  • Koenker R, Mizera I (2004) Penalized triograms: total variation regularization for bivariate smoothing. J R Stat Soc B 66:145–163

    Article  Google Scholar 

  • Lang S, Brezger A (2004) Bayesian P-splines. J Comput Graph Stat 13:183–212

    Article  Google Scholar 

  • Lang S, Umlauf N, Wechselberger P, Harttgen K, Kneib T (2014) Multilevel structured additive regression. Stat Comput 24:223–238

    Article  Google Scholar 

  • Malpezzi S (2003) Hedonic pricing models: a selective and applied review. In: O’Sullivan T, Gibb K (eds) Housing economics and public policy. Blackwell Science Ltd., Oxford/Malden, pp 67–89

    Google Scholar 

  • Razen A, Brunauer W, Klein N, Kneib T, Lang S, Umlauf N (2014) Modeling the volatility of real estate market values using bayesian distributional and quantile regression. Working paper 2014-12, working papers in economics and statistics, research platform empirical and experimental economics, University of Innsbruck

    Google Scholar 

  • R Development Core Team (2013) R: a language and environment for statistical computing. Vienna, Austria: R Foundation for Statistical Computing. ISBN 3-900051-07-0

    Google Scholar 

  • Rigby RA, Stasinopoulos D (2005) Generalized additive models for location, scale and shape. Appl Stat 54:507–554

    Google Scholar 

  • Rosen S (1974) Hedonic prices and implicit markets: product differentiation in pure competition. J Pol Econ 82:34–55

    Article  Google Scholar 

  • Sheppard S (1999) Hedonic analysis of housing markets. In: Cheshire PC, Mills ES (eds) Handbook of regional and urban economics, vol 3. Elsevier Science, Amsterdam, pp 1595–1635

    Google Scholar 

  • Umlauf N, Adler D, Kneib T, Lang S, Zeileis A (2012) Structured additive regression models: an R interface to BayesX. Working paper 2012-10, working papers in economics and statistics, research platform empirical and experimental economics, University of Innsbruck

    Google Scholar 

  • Waldmann E, Kneib T, Lang S, Yue Y (2013) Bayesian semiparametric additive quantile regression. Stat Model 13:223–252

    Article  Google Scholar 

  • Yu K, Moyeed RA (2001) Bayesian quantile regression. Stat Probab Lett 54:437–447

    Article  Google Scholar 

  • Yue Y, Rue H (2011) Bayesian inference for additive mixed quantile regression models. Comput Stat Data Anal 55:84–96

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by funds of the Oesterreichische Nationalbank (Oesterreichische Nationalbank, Anniversary Fund, project number: 15309).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alexander Razen .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Razen, A., Brunauer, W., Klein, N., Lang, S., Umlauf, N. (2015). Hedonic House Price Modeling Based on Multilevel Structured Additive Regression. In: Helbich, M., Jokar Arsanjani, J., Leitner, M. (eds) Computational Approaches for Urban Environments. Geotechnologies and the Environment, vol 13. Springer, Cham. https://doi.org/10.1007/978-3-319-11469-9_5

Download citation

Publish with us

Policies and ethics