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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.

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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
    DOI: 10.1111/j.1435-5957.2006.00087.x
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    1. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know about Unit Roots," NBER Chapters, in: NBER Macroeconomics Annual 1991, Volume 6, pages 141-220, National Bureau of Economic Research, Inc.
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    Cited by:

    1. Reinhold Kosfeld & Jorgen Lauridsen, 2009. "Dynamic spatial modelling of regional convergence processes," Studies in Empirical Economics, in: Giuseppe Arbia & Badi H. Baltagi (ed.), Spatial Econometrics, pages 245-261, Springer.
    2. Lauridsen, J. & Kosfeld, R., 2004. "A wald Test for Spatial Nonstationarity," Estudios de Economia Aplicada, Estudios de Economia Aplicada, vol. 22, pages 1-12, Diciembre.
    3. 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.
    4. Inozemtsev, E. & Krotova, Yu., 2024. "Phillips curve with spatial effects based on Russian regional data," Journal of the New Economic Association, New Economic Association, vol. 63(2), pages 35-56.
    5. 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.
    6. Alicja Olejnik, 2008. "Using the spatial autoregressively distributed lag model in assessing the regional convergence of per‐capita income in the EU25," Papers in Regional Science, Wiley Blackwell, vol. 87(3), pages 371-384, August.
    7. repec:asg:wpaper:1013 is not listed on IDEAS
    8. Anna Gloria Billé & Roberto Benedetti & Paolo Postiglione, 2017. "A two-step approach to account for unobserved spatial heterogeneity," Spatial Economic Analysis, Taylor & Francis Journals, vol. 12(4), pages 452-471, October.
    9. Badi H. Baltagi & Junjie Shu, 2024. "A Survey of Spatial Unit Roots," Mathematics, MDPI, vol. 12(7), pages 1-32, March.
    10. Jørgen Lauridsen & Reinhold Kosfeld, 2007. "Spatial cointegration and heteroscedasticity," Journal of Geographical Systems, Springer, vol. 9(3), pages 253-265, September.
    11. 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.
    12. Luc Anselin, 2010. "Thirty years of spatial econometrics," Papers in Regional Science, Wiley Blackwell, vol. 89(1), pages 3-25, March.
    13. 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.
    14. 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.

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