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Quantile Regression을 이용한 반복매매지수 산정에 관한 연구

A Repeat Sales Price Index Using Quantile Regression

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주제분류경제학

초록

This study develops a repeat sales price index using quantile regrssion. Quantile regression(QR) allows us to mitigate the problem of outliers comparing with the OLS estimation commonly used. This advantage can be highligted when we need to generate a price index for a thin market where there are not enough samples. In order to verify the effect, we constructed price indices for four different size groups of apartment condominiums in Seoul. A bigger group has a smaller sample size. The estimation results show that the quantile regression method is effective to smooth the peak points in indices generated by the OLS estimation. This stabilizing effect is obvious in the case of large size apartment condominiums with fewer samples. We chose three evaluation indices to compare the performance of the OLS and QR indices including statistical reliability index(mean standard error), stability index newly developed, and sensitivity index(signal-to-noise ratio). Overall evaluation suggests that QR indices allow us much gain in stability without much loss in statistical reliability comparing with OLS indices.

Abstract

This study develops a repeat sales price index using quantile regrssion. Quantile regression(QR) allows us to mitigate the problem of outliers comparing with the OLS estimation commonly used. This advantage can be highligted when we need to generate a price index for a thin market where there are not enough samples. In order to verify the effect, we constructed price indices for four different size groups of apartment condominiums in Seoul. A bigger group has a smaller sample size. The estimation results show that the quantile regression method is effective to smooth the peak points in indices generated by the OLS estimation. This stabilizing effect is obvious in the case of large size apartment condominiums with fewer samples. We chose three evaluation indices to compare the performance of the OLS and QR indices including statistical reliability index(mean standard error), stability index newly developed, and sensitivity index(signal-to-noise ratio). Overall evaluation suggests that QR indices allow us much gain in stability without much loss in statistical reliability comparing with OLS indices.

참고문헌 (18)

  1. 류강민, "비선형 회귀분석을 이용한 산술평균 반복매매지수 산정방법에 관한 연구", 주택연구, 17(4), pp.259~278 (2009), 한국주택학회
  2. 류강민, "반복매매지수의 지수변화 보정에 관한 연구", 주택연구, 19(2), pp.5~22 (2011), 한국주택학회
  3. 이창무, "아파트 월세지수 산정에 관한 연구", 국토계획, 38(6), pp.47~60 (2003), 대한국토·도시계획학회
  4. 이창무, "반복매매모형을 활용한 아파트 매매가격지수", 부동산학연구, 8(2), pp.1~19 (2002), 한국부동산분석학회
  5. 이창무, "반복매매모형을 이용한 아파트 실거래지수 운영특성 분석", 부동산학연구, 13(2), pp.21~40 (2007), 한국부동산분석학회
  6. 이창무, "공동주택 실거래가지수 산정에 관한 연구", 국토계획, 40(4), pp.121~134 (2005), 대한국토·도시계획학회
  7. 이창무, "시세가격을 활용한 아파트 실거래가 반복매매지수 산정", 부동산학연구, 14(2), pp.21~37 (2008), 한국부동산분석학회
  8. Bailey, J. M., "A Regression Method for Real Estimate Price Index Construction", Journal of the American Statistical Association, 58, pp.933~942 (1963)
  9. Case, K. E., "The Market for Single-Family Homes in Boston Area", New England Economic Review, pp.38~48 (1986)
  10. Case, K. E., "Price of Single Family Homes since 1970; New Indexes of Four Cities", New England Economic Review, pp.46~56 (1987)
  11. Clapp, John. M., "Estimating Price Indices for Residential Property : A Comparison of Repeat Sales and Assessed Value Methods", Journal of Real Estate Finance and Economics, 5, pp.357~374 (1992)
  12. Coulson, N. E., "The Dynamics of Intraurban Quantile House Price Indexes", Urban Studies, 44(8), pp.1517~1537 (2007)
  13. Epley, D., "A better method to estimate price change in single family housing : A test of median-to-median compared to repeat sales", International Journal of Housing Markets and Analysis, 5(3), pp.377~391 (2012)
  14. Goetzmann, W. N., "The Accuracy of Real Estate Indices : Repeat Sales Estimators", Journal of Real Estate Finances and Economics, 5, pp.5~53 (1992)
  15. Goetzmann, W. N., "The Bias of the RSR Estimator and the Accuracy of Some Alternatives", Real Estate Economics, 30(1), pp.13~19 (2002)
  16. Liang Peng, "GMM Repeat Sales Price Indices", Real Estate Economics, 30(2), pp.239~261 (2002)
  17. McMillen, D, "Housing Renovations and the Quantile Repeat Sales Price Index", Real Estate Economics, 34, pp.567~587 (2006)
  18. Shiller, R. J., "Arithmetic Repeat Sales Price Estimators", Journal of Housing Economics, 1, pp.110~216 (1991)

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