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Spatial Lag Models with Nested Random Effects: An Instrumental Variable Procedure with an Application to English House Prices

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Abstract

This paper sets up a nested random effects spatial autoregressive panel data model to explain annual house price variation for 2000-2007 across 353 local authority districts in England. The estimation problem posed is how to allow for the endogeneity of the spatial lag variable producing the simultaneous spatial spillover of prices across districts together with the nested random effects in a panel data setting. To achieve this, the paper proposes new estimators based on the instrumental variable approaches of Kelejian and Prucha (1998) and Lee (2003) for the cross-sectional spatial autoregressive model. Monte Carlo results show that our estimators perform well relative to alternative approaches and produces estimates based on real data that are consistent with the theoretical house price model underpinning the reduced form.

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Paper provided by Center for Policy Research, Maxwell School, Syracuse University in its series Center for Policy Research Working Papers with number 161.

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Length: 33 pages
Date of creation: Nov 2013
Date of revision:
Handle: RePEc:max:cprwps:161

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Keywords: House Prices; Panel Data; Spatial Lag; Nested Random Effects; In-strumental Variables; Spatial Dependence;

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  1. Luisa Corrado & Bernard Fingleton, 2011. "Where is the Economics in Spatial Econometrics?," Working Papers 1101, University of Strathclyde Business School, Department of Economics.
  2. Badi H. Baltagi & Chihwa Kao & Long Liu, 2012. "The Estimation and Testing of a Linear Regression with Near Unit Root in the Spatial Autoregressive Error Term," Center for Policy Research Working Papers 150, Center for Policy Research, Maxwell School, Syracuse University.
  3. repec:att:wimass:9127 is not listed on IDEAS
  4. Bernard Fingleton, 2009. "Simulating wages and house prices using the NEG," LSE Research Online Documents on Economics 33209, London School of Economics and Political Science, LSE Library.
  5. H Garretsen & M. Schramm & S. Brakman, 2003. "The Strategic Bombing of German Cities during World War II and its Impact for Germany," Working Papers 03-08, Utrecht School of Economics.
  6. Badi Baltagi & Seuck Heun Song & Byoung Cheol Jung, 2002. "Simple Lm Tests For The Unbalanced Nested Error Component Regression Model," Econometric Reviews, Taylor & Francis Journals, vol. 21(2), pages 167-187.
  7. Michael Beenstock & Dan Feldman & Daniel Felsenstein, 2012. "Testing for Unit Roots and Cointegration in Spatial Cross-Section Data," Spatial Economic Analysis, Taylor & Francis Journals, vol. 7(2), pages 203-222, June.
  8. Jorgen Lauridsen & Reinhold Kosfeld, 2003. "A Test Strategy for Spurious Spatial Regression, Spatial Nonstationarity, and Spatial Cointegration," ERSA conference papers ersa03p42, European Regional Science Association.
  9. J. A. Hausman, 1976. "Specification Tests in Econometrics," Working papers 185, Massachusetts Institute of Technology (MIT), Department of Economics.
  10. H. Baltagi, Badi & Heun Song, Seuck & Cheol Jung, Byoung, 2001. "The unbalanced nested error component regression model," Journal of Econometrics, Elsevier, vol. 101(2), pages 357-381, April.
  11. Kristian Behrens & Frédéric Robert-Nicoud, 2009. "Krugman's "Papers in Regional Science": The 100 dollar bill on the sidewalk is gone and the 2008 Nobel Prize well-deserved," Papers in Regional Science, Wiley Blackwell, vol. 88(2), pages 467-489, 06.
  12. Gordon H. Hanson, 1998. "Market Potential, Increasing Returns, and Geographic Concentration," NBER Working Papers 6429, National Bureau of Economic Research, Inc.
  13. Montmarquette, Claude & Mahseredjian, Sophie, 1989. "Does School Matter for Educational Achievement? A Two-Way Nested-Error Components Analysis," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 4(2), pages 181-93, April-Jun.
  14. Kelejian, Harry H & Prucha, Ingmar R, 1998. "A Generalized Spatial Two-Stage Least Squares Procedure for Estimating a Spatial Autoregressive Model with Autoregressive Disturbances," The Journal of Real Estate Finance and Economics, Springer, vol. 17(1), pages 99-121, July.
  15. Bernard Fingleton, 2008. "A Generalized Method of Moments Estimator for a Spatial Panel Model with an Endogenous Spatial Lag and Spatial Moving Average Errors," Spatial Economic Analysis, Taylor & Francis Journals, vol. 3(1), pages 27-44.
  16. Bernard Fingleton, 2008. "A generalized method of moments estimator for a spatial model with moving average errors, with application to real estate prices," Empirical Economics, Springer, vol. 34(1), pages 35-57, February.
  17. Luisa Corrado & Bernard Fingleton, 2011. "Multilevel Modelling with Spatial Effects," Working Papers 1105, University of Strathclyde Business School, Department of Economics.
  18. Baltagi, Badi H. & Liu, Long, 2011. "Instrumental variable estimation of a spatial autoregressive panel model with random effects," Economics Letters, Elsevier, vol. 111(2), pages 135-137, May.
  19. Antweiler, Werner, 2001. "Nested random effects estimation in unbalanced panel data," Journal of Econometrics, Elsevier, vol. 101(2), pages 295-313, April.
  20. Glaeser, Edward L., 2008. "Cities, Agglomeration, and Spatial Equilibrium," OUP Catalogue, Oxford University Press, number 9780199290444, September.
  21. Manski, Charles F, 1993. "Identification of Endogenous Social Effects: The Reflection Problem," Review of Economic Studies, Wiley Blackwell, vol. 60(3), pages 531-42, July.
  22. Lauridsen, J. & Kosfeld, R., 2004. "A wald Test for Spatial Nonstationarity," Estudios de Economía Aplicada, Estudios de Economía Aplicada, vol. 22, pages 1-12, Diciembre.
  23. J. Elhorst, 2010. "Applied Spatial Econometrics: Raising the Bar," Spatial Economic Analysis, Taylor & Francis Journals, vol. 5(1), pages 9-28.
  24. Mark D. Partridge, 2005. "Does Income Distribution Affect U.S. State Economic Growth?," Journal of Regional Science, Wiley Blackwell, vol. 45(2), pages 363-394.
  25. Lung-Fei Lee & Jihai Yu, 2013. "Near Unit Root in the Spatial Autoregressive Model," Spatial Economic Analysis, Taylor & Francis Journals, vol. 8(3), pages 314-351, September.
  26. Matthew J. Higgins & Daniel Levy & Andrew T. Young, 2006. "Growth and Convergence across the United States: Evidence from County-Level Data," The Review of Economics and Statistics, MIT Press, vol. 88(4), pages 671-681, November.
  27. Luc Anselin, 2010. "Thirty years of spatial econometrics," Papers in Regional Science, Wiley Blackwell, vol. 89(1), pages 3-25, 03.
  28. Bernard Fingleton & Julie Le Gallo, 2008. "Estimating spatial models with endogenous variables, a spatial lag and spatially dependent disturbances: Finite sample properties," Papers in Regional Science, Wiley Blackwell, vol. 87(3), pages 319-339, 08.
  29. Bernard Fingleton, 2006. "A cross-sectional analysis of residential property prices: the effects of income, commuting, schooling, the housing stock and spatial interaction in the English regions," Papers in Regional Science, Wiley Blackwell, vol. 85(3), pages 339-361, 08.
  30. Lung-fei Lee, 2003. "Best Spatial Two-Stage Least Squares Estimators for a Spatial Autoregressive Model with Autoregressive Disturbances," Econometric Reviews, Taylor & Francis Journals, vol. 22(4), pages 307-335.
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