Skip to main content
Log in

Models for Spatially Dependent Missing Data

  • Published:
The Journal of Real Estate Finance and Economics Aims and scope Submit manuscript

Abstract

Most hedonic pricing studies using transaction data employ only sold properties. Since the properties sold during any year or even decade represent only a fraction of all properties, this approach ignores the potentially valuable information content of unsold properties which have known characteristics. In fact, explanatory variable information on house characteristics for all properties, sold and unsold, are often available from assessors. We set forth an estimation approach that predicts missing values of the dependent variable when the sample data exhibit spatial dependence. Employing information on the housing characteristics of both sold and unsold properties can improve prediction, increase estimation efficiency for the missing-at-random case, and reduce self-selection bias in the non-missing-at-random case. We demonstrate these advantages with a Monte Carlo experiment as well as with actual housing data.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Barry, R., and R. K. Pace. (1999). "A Monte Carlo Estimator of the Log Determinant of Large Sparse Matrices," Linear Algebra and its Applications 289, 41-54.

    Google Scholar 

  • Dempster, A. P., N. M. Laird, and D. B. Rubin. (1977). "Maximum Likelihood From Incomplete Data Via the EM Algorithm," Journal of the Royal Statistical Society, Series B 39, 1-38.

    Google Scholar 

  • Gelfand, A. E., and A. F. M. Smith. (1990). "Sampling-based Approaches to Calculating Marginal Densities," Journal of the American Statistical Association 85, 398-409.

    Google Scholar 

  • Gelman, A., J. B. Carlin, H. S. Stern, and D. B. Rubin (1995). Bayesian Data Analysis. New York: Chapman Hall/CRC.

    Google Scholar 

  • Gilley, O. W., and R. K. Pace. (1996). "On the Harrison and Rubinfeld Data," Journal of Environmental Economics and Management 31, 403-405.

    Google Scholar 

  • Harrison, D., and D. L. Rubinfeld. (1978). "Hedonic Prices and the Demand for Clean Air," Journal of Environmental Economics and Management 5, 81-102.

    Google Scholar 

  • Kibria, G. B. M., L. Sun, J. V. Zidek, and N. D. Le. (2002). "Bayesian Spatial Prediction of Random Space-Time Fields With Application to Mapping PM2.5 Exposure," Journal of the American Statistical Association 97, 112-124.

    Google Scholar 

  • Knight, J. R., C. F. Sirmans, A. E. Gelfand, and S. K. Ghosh. (1998). "Analyzing Real Estate Data Problems Using the Gibbs Sampler," Real Estate Economics 26, 469-492.

    Google Scholar 

  • LeSage, J. P. (1997). "Bayesian Estimation of Spatial Autoregressive Models," International Regional Science Review 20, 113-129.

    Google Scholar 

  • LeSage, J. P. (1999). Spatial Econometrics. Web Book of Regional Science http://www.rri.wvu.edu/regscweb.htm.

  • LeSage, J. P. (2000). "Bayesian Estimation of Limited Dependent variable Spatial Autoregressive Models," Geographical Analysis 32, 19-35.

    Google Scholar 

  • Little, R. J. A., and D. B. Rubin. (2002). Statistical Analysis with Missing Data, 2nd edn. New York: Wiley.

    Google Scholar 

  • Muirhead, R. J. (1982). Aspects of Multivariate Statistical Theory. New York: Wiley.

    Google Scholar 

  • Pace, R. K., and R. Barry. (1997). "Quick Computation of Spatial Autoregressive Estimators," Geographical Analysis 29, 232-246.

    Google Scholar 

  • Pace, R. K., and J. LeSage. (2004). "Chebyshev Approximation of Log-determinants of Spatial Weight Matrices," Computational Statistics and Data Analysis 45, 179-196.

    Google Scholar 

  • Poirier, D. J. (1995). Intermediate Statistics and Econometrics. Cambridge, MA: MIT Press.

    Google Scholar 

  • Rao, C. R., and H. Toutenburg (1995). Linear Models: Least Squares and Alternatives. New York: Springer-Verlag.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

LeSage, J.P., Pace, R.K. Models for Spatially Dependent Missing Data. The Journal of Real Estate Finance and Economics 29, 233–254 (2004). https://doi.org/10.1023/B:REAL.0000035312.82241.e4

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:REAL.0000035312.82241.e4

Navigation