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A test to select between spatial weighting matrices

Author

Listed:
  • Stephen G. Hall

    (University of Leicester
    Bank of Greece
    University of Pretoria)

  • George S. Tavlas

    (Bank of Greece
    Hoover Institution)

  • Deborah Gefang

    (University of Leicester)

Abstract

There exist a number of ways of selecting the best spatial weighting matrix in a spatial regression framework. But these methods all work under the assumption that there is only one matrix in the final model and they simply aim to pick the best one. We propose an encompassing tests which allows for the possibility that the final preferred model may have two or more spatial weighting matrices. We validate the proposed test through a Monte Carlo study. We then illustrate the test by applying it to a two-equation simultaneous system determining sovereign bond ratings and spreads for two groups comprising northern and Southern Euro-area countries.

Suggested Citation

  • Stephen G. Hall & George S. Tavlas & Deborah Gefang, 2023. "A test to select between spatial weighting matrices," Journal of Spatial Econometrics, Springer, vol. 4(1), pages 1-10, December.
    • Handle: RePEc:spr:jospat:v:4:y:2023:i:1:d:10.1007_s43071-022-00032-9
    DOI: 10.1007/s43071-022-00032-9
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    References listed on IDEAS

    as
    1. Badi H. Baltagi, 2015. "Seemingly Unrelated Regressions," Springer Texts in Business and Economics, in: Solutions Manual for Econometrics, edition 3, chapter 0, pages 233-257, Springer.
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    4. 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.
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    6. Ahmad, Mahyudin & Hall, Stephen G., 2017. "Economic growth and convergence: Do institutional proximity and spillovers matter?," Journal of Policy Modeling, Elsevier, vol. 39(6), pages 1065-1085.
    7. Hendry, David F. & Richard, Jean-Francois, 1982. "On the formulation of empirical models in dynamic econometrics," Journal of Econometrics, Elsevier, vol. 20(1), pages 3-33, October.
    8. Heather D Gibson & Stephen G Hall & Deborah GeFang & Pavlos Petroulas & George S Tavlas, 2021. "Cross-country spillovers of national financial markets and the effectiveness of ECB policies during the euro-area crisis," Oxford Economic Papers, Oxford University Press, vol. 73(4), pages 1454-1470.
    9. Yang, Kai & Lee, Lung-fei, 2017. "Identification and QML estimation of multivariate and simultaneous equations spatial autoregressive models," Journal of Econometrics, Elsevier, vol. 196(1), pages 196-214.
    10. Xiaodong Liu & Paulo Saraiva, 2019. "GMM estimation of spatial autoregressive models in a system of simultaneous equations with heteroskedasticity," Econometric Reviews, Taylor & Francis Journals, vol. 38(4), pages 359-385, April.
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    Cited by:

    1. Mahyudin Ahmad & Siong Hook Law, 2024. "Financial development, institutions, and economic growth nexus: A spatial econometrics analysis using geographical and institutional proximities," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 29(3), pages 2699-2721, July.

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    More about this item

    Keywords

    Spatial weighting matrix; Cross-country spillovers; Spatial estimation;
    All these keywords.

    JEL classification:

    • E3 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles
    • G01 - Financial Economics - - General - - - Financial Crises
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages

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