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A test strategy for spurious spatial regression, spatial nonstationarity, and spatial cointegration

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  • Jørgen Lauridsen
  • Reinhold Kosfeld

Abstract

A test strategy consisting of a two-step Lagrange Multiplier test is suggested as a device to reveal spatial nonstationarity and spurious spatial regression. It is further illustrated how the test strategy can be used as a diagnostic for presence of a spatial cointegrating relationship between two variables. Using Monte Carlo simulations it is shown that the small-sample behaviour of the test strategy is as desired in these cases. Copyright (c) 2006 the author(s). Journal compilation (c) 2006 RSAI.

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  • Jørgen Lauridsen & Reinhold Kosfeld, 2006. "A test strategy for spurious spatial regression, spatial nonstationarity, and spatial cointegration," Papers in Regional Science, Wiley Blackwell, vol. 85(3), pages 363-377, August.
  • Handle: RePEc:bla:presci:v:85:y:2006:i:3:p:363-377
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    References listed on IDEAS

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    1. Andrew C. Harvey, 1990. "The Econometric Analysis of Time Series, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026208189x, January.
    2. Banerjee, Anindya & Dolado, Juan J. & Galbraith, John W. & Hendry, David, 1993. "Co-integration, Error Correction, and the Econometric Analysis of Non-Stationary Data," OUP Catalogue, Oxford University Press, number 9780198288107.
    3. Jørgen Lauridsen, 2006. "Spatial autoregressively distributed lag models: equivalent forms, estimation, and an illustrative commuting model," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 40(2), pages 297-311, June.
    4. Jorgen Lauridsen & Birgit Nahrstedt, 1998. "Spatial patterns in intermunicipal Danish commuting," ERSA conference papers ersa98p441, European Regional Science Association.
    5. Mur, Jesus, 2002. "On the specification of spatial econometric models," ERSA conference papers ersa02p012, European Regional Science Association.
    6. Sergio Rey & Brett Montouri, 1999. "US Regional Income Convergence: A Spatial Econometric Perspective," Regional Studies, Taylor & Francis Journals, vol. 33(2), pages 143-156.
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    Citations

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    Cited by:

    1. Baltagi, Badi H. & Fingleton, Bernard & Pirotte, Alain, 2014. "Spatial lag models with nested random effects: An instrumental variable procedure with an application to English house prices," Journal of Urban Economics, Elsevier, vol. 80(C), pages 76-86.
    2. Badi H. Baltagi & Chihwa Kao & Long Liu, 2013. "The Estimation and Testing of a Linear Regression with Near Unit Root in the Spatial Autoregressive Error Term," Spatial Economic Analysis, Taylor & Francis Journals, vol. 8(3), pages 241-270, September.
    3. repec:asg:wpaper:1013 is not listed on IDEAS
    4. Reinhold Kosfeld & Jorgen Lauridsen, 2004. "Dynamic spatial modelling of regional convergence processes," Empirical Economics, Springer, vol. 29(4), pages 705-722, December.
    5. Filiz Yesilyurt & J. Elhorst, 2014. "A regional analysis of inflation dynamics in Turkey," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 52(1), pages 1-17, January.
    6. Tony Smith & Ka Lee, 2012. "The effects of spatial autoregressive dependencies on inference in ordinary least squares: a geometric approach," Journal of Geographical Systems, Springer, vol. 14(1), pages 91-124, January.
    7. Andrea Vaona, 2010. "Spatial autocorrelation and the sensitivity of RESET: a simulation study," Journal of Geographical Systems, Springer, vol. 12(1), pages 89-103, March.
    8. 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.
    9. Jørgen Lauridsen & Reinhold Kosfeld, 2007. "Spatial cointegration and heteroscedasticity," Journal of Geographical Systems, Springer, vol. 9(3), pages 253-265, September.
    10. Luc Anselin, 2010. "Thirty years of spatial econometrics," Papers in Regional Science, Wiley Blackwell, vol. 89(1), pages 3-25, March.

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