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The Use of Rank Transformation and Multiple Regression Analysis in Estimating Residential Property Values With A Small Sample

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Abstract

Conventional multiple regression analysis which has been used in estimating residential property values typically relies upon cardinal data. This paper argues that appraisal theory requires the appraiser to rank the comparables from best to worst and use a regression technique which can be applied to ordinal data. The rank regression procedure illustrated here was successfully used on small sample sizes, and did not violate the critical assumptions underlying conventional multiple regression. The results indicate that the rank regression technique illustrated here is more theoretically correct than conventional multiple regression and produces a better model with more accurate price estimates.

Suggested Citation

  • Timothy P. Cronan & Donald R. Epley & Larry G. Perry, 1986. "The Use of Rank Transformation and Multiple Regression Analysis in Estimating Residential Property Values With A Small Sample," Journal of Real Estate Research, American Real Estate Society, vol. 1(1), pages 19-31.
  • Handle: RePEc:jre:issued:v:1:n:1:1986:p:19-31
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    References listed on IDEAS

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    1. Robert Carbone & Richard L. Longini, 1977. "A Feedback Model for Automated Real Estate Assessment," Management Science, INFORMS, vol. 24(3), pages 241-248, November.
    2. Peter F. Colwell & Roger E. Cannaday & Chunchi Wu, 1983. "The Analytical Foundations of Adjustment Grid Methods," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 11(1), pages 11-29.
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    Cited by:

    1. Narula, Subhash C. & Wellington, John F. & Lewis, Stephen A., 2012. "Valuating residential real estate using parametric programming," European Journal of Operational Research, Elsevier, vol. 217(1), pages 120-128.
    2. Han Bin Kang & Alan K. Reichert, 1987. "An Evaluation of Alternative Estimation Techniques and Functional Forms in Developing Statistical Appraisal Models," Journal of Real Estate Research, American Real Estate Society, vol. 2(1), pages 1-29.
    3. George H. Lentz & Ko Wang, 1998. "Residential Appraisal and the Lending Process: A Survey of Issues," Journal of Real Estate Research, American Real Estate Society, vol. 15(1), pages 11-40.
    4. Mark J. Kroll & Charles A. Smith, 1988. "The Buyer's Response Technique - A Framework for Improving Comparable Selection and Adjustment in Single-Family Appraising," Journal of Real Estate Research, American Real Estate Society, vol. 3(1), pages 27-35.
    5. Agusman, Agusman & Monroe, Gary S. & Gasbarro, Dominic & Zumwalt, J.K., 2008. "Accounting and capital market measures of risk: Evidence from Asian banks during 1998-2003," Journal of Banking & Finance, Elsevier, vol. 32(4), pages 480-488, April.
    6. Joseph B. Lipscomb & J. Brian Gray, 1990. "An Empirical Investigation of Four Market-Derived Adjustment Methods," Journal of Real Estate Research, American Real Estate Society, vol. 5(1), pages 53-66.

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    JEL classification:

    • L85 - Industrial Organization - - Industry Studies: Services - - - Real Estate Services

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