IDEAS home Printed from https://ideas.repec.org/a/eee/regeco/v40y2010i6p453-470.html
   My bibliography  Save this article

Testing for spatial autocorrelation in a fixed effects panel data model

Author

Listed:
  • Debarsy, Nicolas
  • Ertur, Cem

Abstract

The aim of this paper is to assess the relevance of spatial autocorrelation in a fixed effects panel data model and in the affirmative, to identify the most appropriate spatial specification as this appears to be a crucial point from the modeling perspective of interactive heterogeneity. Several LM test statistics as well as their LR counterparts, which allow discriminating between endogenous spatial lag versus spatially autocorrelated errors, are therefore proposed. Monte Carlo experiments show their good finite sample performance. Finally, an empirical application is provided in the framework of the well-known Feldstein-Horioka puzzle.

Suggested Citation

  • Debarsy, Nicolas & Ertur, Cem, 2010. "Testing for spatial autocorrelation in a fixed effects panel data model," Regional Science and Urban Economics, Elsevier, vol. 40(6), pages 453-470, November.
  • Handle: RePEc:eee:regeco:v:40:y:2010:i:6:p:453-470
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0166-0462(10)00045-1
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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 509-533, May.
    2. Kelejian, Harry H. & Murrell, Peter & Shepotylo, Oleksandr, 2013. "Spatial spillovers in the development of institutions," Journal of Development Economics, Elsevier, vol. 101(C), pages 297-315.
    3. Enrique López‐Bazo & Esther Vayá & Manuel Artís, 2004. "Regional Externalities And Growth: Evidence From European Regions," Journal of Regional Science, Wiley Blackwell, vol. 44(1), pages 43-73, February.
    4. Yu, Jihai & de Jong, Robert & Lee, Lung-fei, 2008. "Quasi-maximum likelihood estimators for spatial dynamic panel data with fixed effects when both n and T are large," Journal of Econometrics, Elsevier, vol. 146(1), pages 118-134, September.
    5. Lee, Lung-fei & Yu, Jihai, 2010. "Estimation of spatial autoregressive panel data models with fixed effects," Journal of Econometrics, Elsevier, vol. 154(2), pages 165-185, February.
    6. 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.
    7. 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.
    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.
    9. 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.
    10. Kristian Behrens & Cem Ertur & Wilfried Koch, 2012. "‘Dual’ Gravity: Using Spatial Econometrics To Control For Multilateral Resistance," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 27(5), pages 773-794, August.
    11. Durlauf, Steven N. & Johnson, Paul A. & Temple, Jonathan R.W., 2005. "Growth Econometrics," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.),Handbook of Economic Growth, edition 1, volume 1, chapter 8, pages 555-677, Elsevier.
    12. Cem Ertur & Julie Le Gallo & Catherine Baumont, 2006. "The European Regional Convergence Process, 1980-1995: Do Spatial Regimes and Spatial Dependence Matter?," International Regional Science Review, , vol. 29(1), pages 3-34, January.
    13. Kelejian, Harry H. & Prucha, Ingmar R., 2010. "Specification and estimation of spatial autoregressive models with autoregressive and heteroskedastic disturbances," Journal of Econometrics, Elsevier, vol. 157(1), pages 53-67, July.
    14. George A. Akerlof, 1997. "Social Distance and Social Decisions," Econometrica, Econometric Society, vol. 65(5), pages 1005-1028, September.
    15. Luc Anselin & Rodolfo Bongiovanni & Jess Lowenberg-DeBoer, 2004. "A Spatial Econometric Approach to the Economics of Site-Specific Nitrogen Management in Corn Production," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 86(3), pages 675-687.
    16. Kathleen P. Bell & Nancy E. Bockstael, 2000. "Applying the Generalized-Moments Estimation Approach to Spatial Problems Involving Microlevel Data," The Review of Economics and Statistics, MIT Press, vol. 82(1), pages 72-82, February.
    17. Pesaran, M. Hashem & Tosetti, Elisa, 2011. "Large panels with common factors and spatial correlation," Journal of Econometrics, Elsevier, vol. 161(2), pages 182-202, April.
    18. 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.
    19. 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.
    20. 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.
    21. 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.
    22. Hausman, Jerry, 2015. "Specification tests in econometrics," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 38(2), pages 112-134.
    23. Cem ERTUR & Wilfried KOCH, 2008. "A Contribution to the Schumpeterian Growth Theory and Empirics," LEO Working Papers / DR LEO 160, Orleans Economics Laboratory / Laboratoire d'Economie d'Orleans (LEO), University of Orleans.
    24. M. Hashem Pesaran, 2021. "General diagnostic tests for cross-sectional dependence in panels," Empirical Economics, Springer, vol. 60(1), pages 13-50, January.
    25. Baltagi, Badi H. & Liu, Long, 2008. "Testing for random effects and spatial lag dependence in panel data models," Statistics & Probability Letters, Elsevier, vol. 78(18), pages 3304-3306, December.
    26. Alexander Chudik & M. Hashem Pesaran & Elisa Tosetti, 2011. "Weak and strong cross‐section dependence and estimation of large panels," Econometrics Journal, Royal Economic Society, vol. 14(1), pages 45-90, February.
    27. 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.
    28. John C. Driscoll & Aart C. Kraay, 1998. "Consistent Covariance Matrix Estimation With Spatially Dependent Panel Data," The Review of Economics and Statistics, MIT Press, vol. 80(4), pages 549-560, November.
    29. Feldstein, Martin & Horioka, Charles, 1980. "Domestic Saving and International Capital Flows," Economic Journal, Royal Economic Society, vol. 90(358), pages 314-329, June.
    30. 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.
    31. 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.
    32. 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.
    33. Sinn, Stefan, 1992. "Saving-Investment Correlations and Capital Mobility: On the Evidence from Annual Data," Economic Journal, Royal Economic Society, vol. 102(414), pages 1162-1170, September.
    34. 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.
    35. Baltagi, Badi H. & Heun Song, Seuck & Cheol Jung, Byoung & Koh, Won, 2007. "Testing for serial correlation, spatial autocorrelation and random effects using panel data," Journal of Econometrics, Elsevier, vol. 140(1), pages 5-51, September.
    36. Nerlove, Marc, 1971. "Further Evidence on the Estimation of Dynamic Economic Relations from a Time Series of Cross Sections," Econometrica, Econometric Society, vol. 39(2), pages 359-382, March.
    37. Michael Dooley & Jeffrey Frankel & Donald J. Mathieson, 1987. "International Capital Mobility: What Do Saving-Investment Correlations Tell Us?," IMF Staff Papers, Palgrave Macmillan, vol. 34(3), pages 503-530, September.
    38. H. Kelejian, Harry & Prucha, Ingmar R., 2001. "On the asymptotic distribution of the Moran I test statistic with applications," Journal of Econometrics, Elsevier, vol. 104(2), pages 219-257, September.
    39. Yan Bai & Jing Zhang, 2010. "Solving the Feldstein-Horioka Puzzle With Financial Frictions," Econometrica, Econometric Society, vol. 78(2), pages 603-632, March.
    40. Jansen, W. Jos, 2000. "International capital mobility: evidence from panel data," Journal of International Money and Finance, Elsevier, vol. 19(4), pages 507-511, August.
    41. M. Hashem Pesaran, 2021. "General diagnostic tests for cross-sectional dependence in panels," Empirical Economics, Springer, vol. 60(1), pages 13-50, January.
    42. Tesar, Linda L., 1991. "Savings, investment and international capital flows," Journal of International Economics, Elsevier, vol. 31(1-2), pages 55-78, August.
    43. Badi H. Baltagi & Peter Egger & Michael Pfaffermayr, 2013. "A Generalized Spatial Panel Data Model with Random Effects," Econometric Reviews, Taylor & Francis Journals, vol. 32(5-6), pages 650-685, August.
    44. 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, July.
    45. Martin Feldstein, 1991. "Domestic Saving and International Capital Movements in the Long Run and the Short Run," NBER Chapters, in: International Volatility and Economic Growth: The First Ten Years of The International Seminar on Macroeconomics, pages 331-353, National Bureau of Economic Research, Inc.
    46. Jenish, Nazgul & Prucha, Ingmar R., 2009. "Central limit theorems and uniform laws of large numbers for arrays of random fields," Journal of Econometrics, Elsevier, vol. 150(1), pages 86-98, May.
    47. Baltagi, Badi H. & Egger, Peter & Pfaffermayr, Michael, 2008. "Estimating regional trade agreement effects on FDI in an interdependent world," Journal of Econometrics, Elsevier, vol. 145(1-2), pages 194-208, July.
    48. Baxter, Marianne & Crucini, Mario J, 1993. "Explaining Saving-Investment Correlations," American Economic Review, American Economic Association, vol. 83(3), pages 416-436, June.
    49. Krol, Robert, 1996. "International capital mobility: evidence from panel data," Journal of International Money and Finance, Elsevier, vol. 15(3), pages 467-474, June.
    50. 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.
    51. 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.
    52. 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.
    53. Lung-Fei Lee, 2004. "Asymptotic Distributions of Quasi-Maximum Likelihood Estimators for Spatial Autoregressive Models," Econometrica, Econometric Society, vol. 72(6), pages 1899-1925, November.
    54. 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 169-188, April.
    55. 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.
    56. Kapoor, Mudit & Kelejian, Harry H. & Prucha, Ingmar R., 2007. "Panel data models with spatially correlated error components," Journal of Econometrics, Elsevier, vol. 140(1), pages 97-130, September.
    57. Conley, T. G., 1999. "GMM estimation with cross sectional dependence," Journal of Econometrics, Elsevier, vol. 92(1), pages 1-45, September.
    58. Antonio J. Mora & Esther Vayá & Jordi Suriñach & Enrique López-Bazo, 1999. "original: Regional economic dynamics and convergence in the European Union," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 33(3), pages 343-370.
    59. Alan M. Taylor, 1996. "International Capital Mobility in History: The Saving-Investment Relationship," NBER Working Papers 5743, National Bureau of Economic Research, Inc.
    60. Alan M. Taylor, 1996. "International Capital Mobility in History: Purchasing-Power Parity in the Long Run," NBER Working Papers 5742, National Bureau of Economic Research, Inc.
    61. Lee, Lung-fei & Yu, Jihai, 2010. "Some recent developments in spatial panel data models," Regional Science and Urban Economics, Elsevier, vol. 40(5), pages 255-271, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Su, Liangjun & Yang, Zhenlin, 2015. "QML estimation of dynamic panel data models with spatial errors," Journal of Econometrics, Elsevier, vol. 185(1), pages 230-258.
    2. Holmes, Mark J. & Otero, Jesús, 2014. "Re-examining the Feldstein–Horioka and Sachs' views of capital mobility: A heterogeneous panel setup," International Review of Economics & Finance, Elsevier, vol. 33(C), pages 1-11.
    3. Eslamloueyan, Karim & Jafari, Mahboubeh, 2014. "Financial crisis and saving–investment dynamics in the presence of cross-sectional dependence: The case of East Asia," China Economic Review, Elsevier, vol. 30(C), pages 209-220.
    4. Christophe Tavéra & Jean-Christophe Poutineau & Jean-Sébastien Pentecôte & Isabelle Cadoret & Arthur Charpentier, 2015. "The “mother of all puzzles” at thirty: A meta-analysis," International Economics, CEPII research center, issue 141, pages 80-96.
    5. Kumar, Saten, 2015. "Regional integration, capital mobility and financial intermediation revisited: Application of general to specific method in panel data," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 36(C), pages 1-17.
    6. Phiri, Andrew, 2019. "The Feldstein-Horioka Puzzle and the Global Financial Crisis: Evidence from South Africa using Asymmetric Cointegration Analysis," Economia Internazionale / International Economics, Camera di Commercio Industria Artigianato Agricoltura di Genova, vol. 72(2), pages 139-170.
    7. Kumar, Saten & Sen, Rahul & Srivastava, Sadhana, 2014. "Does economic integration stimulate capital mobility? An analysis of four regional economic communities in Africa," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 29(C), pages 33-50.
    8. Chu, Kam Hon, 2012. "The Feldstein-Horioka Puzzle and Spurious Ratio Correlation," Journal of International Money and Finance, Elsevier, vol. 31(2), pages 292-309.
    9. Phiri, Andrew, 2017. "The Feldstein-Horioka puzzle and the global recession period: Evidence from South Africa using asymmetric cointegration analysis," MPRA Paper 79096, University Library of Munich, Germany.
    10. But, Boris & Morley, Bruce, 2017. "The Feldstein-Horioka puzzle and capital mobility: The role of the recent financial crisis," Economic Systems, Elsevier, vol. 41(1), pages 139-150.
    11. Pesaran, M. Hashem & Tosetti, Elisa, 2011. "Large panels with common factors and spatial correlation," Journal of Econometrics, Elsevier, vol. 161(2), pages 182-202, April.
    12. Harald Badinger & Peter Egger, 2015. "Fixed Effects and Random Effects Estimation of Higher-order Spatial Autoregressive Models with Spatial Autoregressive and Heteroscedastic Disturbances," Spatial Economic Analysis, Taylor & Francis Journals, vol. 10(1), pages 11-35, March.
    13. Luc Anselin, 2010. "Thirty years of spatial econometrics," Papers in Regional Science, Wiley Blackwell, vol. 89(1), pages 3-25, March.
    14. Hwang, Sun Ho & Kim, Yun Jung, 2018. "Capital mobility in OECD countries: A multi-level factor approach to saving–investment correlations," Economic Modelling, Elsevier, vol. 69(C), pages 150-159.
    15. Ma, Wei & Li, Haiqi, 2016. "Time-varying saving–investment relationship and the Feldstein–Horioka puzzle," Economic Modelling, Elsevier, vol. 53(C), pages 166-178.
    16. Naib ALAKBAROV & Yılmaz BAYAR, 2021. "International Financial Market Integration and The Feldstein–Horioka Puzzle: Evidence from Emerging Market Economies," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(1), pages 143-165, December.
    17. J. Paul Elhorst, 2014. "Dynamic Spatial Panels: Models, Methods and Inferences," SpringerBriefs in Regional Science, in: Spatial Econometrics, edition 127, chapter 0, pages 95-119, Springer.
    18. Millo, Giovanni, 2014. "Maximum likelihood estimation of spatially and serially correlated panels with random effects," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 914-933.
    19. Ketenci, Natalya, 2012. "The Feldstein–Horioka Puzzle and structural breaks: Evidence from EU members," Economic Modelling, Elsevier, vol. 29(2), pages 262-270.
    20. Kelejian, Harry H. & Prucha, Ingmar R., 2010. "Specification and estimation of spatial autoregressive models with autoregressive and heteroskedastic disturbances," Journal of Econometrics, Elsevier, vol. 157(1), pages 53-67, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:regeco:v:40:y:2010:i:6:p:453-470. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Nithya Sathishkumar). General contact details of provider: http://www.elsevier.com/locate/regec .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.