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Testing for Spatial Autocorrelation in a Fixed Effects Panel Data Model

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Author Info
Nicolas Debarsy (CERPE - Centre de Recherches en Economie Régionale et Politique Economique - Université de Namur)
Cem Ertur () (LEO - Laboratoire d'économie d'Orleans - CNRS : UMR6221 - Université d'Orléans)

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Abstract

This paper derives several Lagrange Multiplier statistics and the correspondinglikelihood ratio statistics to test for spatial autocorrelation in a fixed effectspanel data model. These tests allow discriminating between the two main typesof spatial autocorrelation which are relevant in empirical applications, namelyendogenous spatial lag versus spatially autocorrelated errors. In this paper, fivedifferent statistics are suggested. The first one, the joint test, detects the presenceof spatial autocorrelation whatever its type. Hence, it indicates whetherspecific econometric estimation methods should be implemented to account forthe spatial dimension. In case they need to be implemented, the other four testssupport the choice between the different specifications, i.e. endogenous spatiallag, spatially autocorrelated errors or both. The first two are simple hypothesistests as they detect one kind of spatial autocorrelation assuming the otherone is absent. The last two take into account the presence of one type of spatialautocorrelation when testing for the presence of the other one. We use themethodology developed in Lee and Yu (2008) to set up and estimate the generallikelihood function. Monte Carlo experiments show the good performance ofour tests. Finally, as an illustration, they are applied to the Feldstein-Horiokapuzzle. They indicate a misspecification of the investment-saving regressiondue to the omission of spatial autocorrelation. The traditional saving-retentioncoefficient is shown to be upward biased. In contrast our results favor capitalmobility.

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Paper provided by HAL in its series Post-Print with number halshs-00414133_v1.

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Date of creation: Jul 2009
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Handle: RePEc:hal:journl:halshs-00414133_v1

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Keywords: Testing ; Spatial ; Autocorrelation ; Fixed ; Effects ; Panel Data Model;

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  1. 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. [Downloadable!] (restricted)
  2. Conley, T. G., 1999. "GMM estimation with cross sectional dependence," Journal of Econometrics, Elsevier, vol. 92(1), pages 1-45, September. [Downloadable!] (restricted)
  3. Kelejian, Harry H & Prucha, Ingmar R, 1999. "A Generalized Moments Estimator for the Autoregressive Parameter in a Spatial Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(2), pages 509-33, May.
  4. Badi H. Baltagi & Long Liu, 2008. "Testing for Random Effects and Spatial Lag Dependence in Panel Data Models," Center for Policy Research Working Papers 102, Center for Policy Research, Maxwell School, Syracuse University. [Downloadable!]
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  5. Martin Feldstein & Charles Horioka, 1980. "Domestic Savings and International Capital Flows," NBER Working Papers 0310, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  6. M. Hashem Pesaran, 2006. "Estimation and Inference in Large Heterogeneous Panels with a Multifactor Error Structure," Econometrica, Econometric Society, vol. 74(4), pages 967-1012, 07. [Downloadable!] (restricted)
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  7. Anselin, Luc & Bera, Anil K. & Florax, Raymond & Yoon, Mann J., 1996. "Simple diagnostic tests for spatial dependence," Regional Science and Urban Economics, Elsevier, vol. 26(1), pages 77-104, February. [Downloadable!] (restricted)
  8. Fouquau, Julien & Hurlin, Christophe & Rabaud, Isabelle, 2008. "The Feldstein-Horioka puzzle: A panel smooth transition regression approach," Economic Modelling, Elsevier, vol. 25(2), pages 284-299, March. [Downloadable!] (restricted)
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  9. Corbin, Annie, 2001. "Country specific effect in the Feldstein-Horioka paradox: a panel data analysis," Economics Letters, Elsevier, vol. 72(3), pages 297-302, September. [Downloadable!] (restricted)
  10. Murdoch, James C & Sandler, Todd & Sargent, Keith, 1997. "A Tale of Two Collectives: Sulphur versus Nitrogen Oxides Emission Reduction in Europe," Economica, London School of Economics and Political Science, vol. 64(254), pages 281-301, May. [Downloadable!] (restricted)
  11. Krol, Robert, 1996. "International capital mobility: evidence from panel data," Journal of International Money and Finance, Elsevier, vol. 15(3), pages 467-474, June. [Downloadable!] (restricted)
  12. Brueckner, Jan K., 1998. "Testing for Strategic Interaction Among Local Governments: The Case of Growth Controls," Journal of Urban Economics, Elsevier, vol. 44(3), pages 438-467, November. [Downloadable!] (restricted)
  13. Alan M. Taylor, 1996. "International Capital Mobility in History: The Saving-Investment Relationship," NBER Working Papers 5743, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  14. Coiteux, Martin & Olivier, Simon, 2000. "The saving retention coefficient in the long run and in the short run: evidence from panel data," Journal of International Money and Finance, Elsevier, vol. 19(4), pages 535-548, August. [Downloadable!] (restricted)
  15. Harry Kelejian & George Tavlas & George Hondroyiannis, 2006. "A Spatial Modelling Approach to Contagion Among Emerging Economies," Open Economies Review, Springer, vol. 17(4), pages 423-441, December. [Downloadable!] (restricted)
  16. Feldstein, Martin, 1983. "Domestic saving and international capital movements in the long run and the short run," European Economic Review, Elsevier, vol. 21(1-2), pages 129-151. [Downloadable!] (restricted)
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  17. Baltagi, Badi H. & Song, Seuck Heun & Koh, Won, 2003. "Testing panel data regression models with spatial error correlation," Journal of Econometrics, Elsevier, vol. 117(1), pages 123-150, November. [Downloadable!] (restricted)
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  18. Klenow, Peter J. & Rodriguez-Clare, Andres, 2005. "Externalities and Growth," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 11, pages 817-861 Elsevier. [Downloadable!] (restricted)
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  19. Pesaran, M. Hashem, 2004. "General Diagnostic Tests for Cross Section Dependence in Panels," IZA Discussion Papers 1240, Institute for the Study of Labor (IZA). [Downloadable!]
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  20. Chudik, A. & Pesaran, M.H. & Tosetti, E., 2009. "Weak and Strong Cross Section Dependence and Estimation of Large Panels," Cambridge Working Papers in Economics 0924, Faculty of Economics, University of Cambridge. [Downloadable!]
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  21. Cem Ertur & Wilfried Koch, 2007. "Growth, technological interdependence and spatial externalities: theory and evidence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(6), pages 1033-1062. [Downloadable!]
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  22. Coakley, Jerry & Kulasi, Farida & Smith, Ron, 1998. "The Feldstein-Horioka Puzzle and Capital Mobility: A Review," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 3(2), pages 169-88, April. [Downloadable!] (restricted)
  23. Cem Ertur & Wilfried Koch, 2008. "A Contribution to the Schumpeterian Growth Theory and Empirics," Post-Print halshs-00327641_v1, HAL. [Downloadable!]
  24. Baltagi, Badi H. & Egger, Peter & Pfaffermayr, Michael, 2007. "Estimating models of complex FDI: Are there third-country effects?," Journal of Econometrics, Elsevier, vol. 140(1), pages 260-281, September. [Downloadable!] (restricted)
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