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Selecting the Most Adequate Spatial Weighting Matrix:A Study on Criteria

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  • Herrera Gómez, Marcos
  • Mur Lacambra, Jesús
  • Ruiz Marín, Manuel

Abstract

In spatial econometrics, it is customary to specify a weighting matrix, the so-called W matrix, by choosing one matrix from a finite set of matrices. The decision is extremely important because, if the W matrix is misspecified, the estimates are likely to be biased and inconsistent. However, the procedure to select W is not well defined and, usually, it reflects the judgments of the user. In this paper, we revise the literature looking for criteria to help with this problem. Also, a new nonparametric procedure is introduced. Our proposal is based on a measure of the information, conditional entropy. We compare these alternatives by means of a Monte Carlo experiment.

Suggested Citation

  • Herrera Gómez, Marcos & Mur Lacambra, Jesús & Ruiz Marín, Manuel, 2012. "Selecting the Most Adequate Spatial Weighting Matrix:A Study on Criteria," MPRA Paper 73700, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:73700
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    References listed on IDEAS

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    1. Esteban Fernández-Vázquez & Matías Mayor-Fernández & Jorge Rodríguez-Vález, 2009. "Estimating Spatial Autoregressive Models by GME-GCE Techniques," International Regional Science Review, , vol. 32(2), pages 148-172, April.
    2. Conley, Timothy G. & Molinari, Francesca, 2007. "Spatial correlation robust inference with errors in location or distance," Journal of Econometrics, Elsevier, vol. 140(1), pages 76-96, September.
    3. Luisa Corrado & Bernard Fingleton, 2012. "Where Is The Economics In Spatial Econometrics?," Journal of Regional Science, Wiley Blackwell, vol. 52(2), pages 210-239, May.
    4. Olivier Parent & James Lesage, 2005. "Bayesian Model Averaging for Spatial Econometric Models," Post-Print hal-00375489, HAL.
    5. L W Hepple, 1995. "Bayesian Techniques in Spatial and Network Econometrics: 1. Model Comparison and Posterior Odds," Environment and Planning A, , vol. 27(3), pages 447-469, March.
    6. Luc Anselin, 1984. "Specification Tests On The Structure Of Interaction In Spatial Econometric Models," Papers in Regional Science, Wiley Blackwell, vol. 54(1), pages 165-182, January.
    7. Raffaele Paci & Stefano Usai, 2009. "Knowledge flows across European regions," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 43(3), pages 669-690, September.
    8. López, Fernando & Matilla-García, Mariano & Mur, Jesús & Marín, Manuel Ruiz, 2010. "A non-parametric spatial independence test using symbolic entropy," Regional Science and Urban Economics, Elsevier, vol. 40(2-3), pages 106-115, May.
    9. S Openshaw, 1977. "Optimal Zoning Systems for Spatial Interaction Models," Environment and Planning A, , vol. 9(2), pages 169-184, February.
    10. Peter Burridge & Bernard Fingleton, 2010. "Bootstrap Inference in Spatial Econometrics: the J-test," Spatial Economic Analysis, Taylor & Francis Journals, vol. 5(1), pages 93-119.
    11. Anselin, Luc, 2002. "Under the hood : Issues in the specification and interpretation of spatial regression models," Agricultural Economics, Blackwell, vol. 27(3), pages 247-267, November.
    12. Matilla-Garci­a, Mariano & Ruiz Mari­n, Manuel, 2008. "A non-parametric independence test using permutation entropy," Journal of Econometrics, Elsevier, vol. 144(1), pages 139-155, May.
    13. Henk Folmer & Johan Oud, 2008. "How to Get Rid of W: A Latent Variables Approach to Modelling Spatially Lagged Variables," Environment and Planning A, , vol. 40(10), pages 2526-2538, October.
    14. P Bodson & D Peeters, 1975. "Estimation of the Coefficients of a Linear Regression in the Presence of Spatial Autocorrelation. An Application to a Belgian Labour-Demand Function," Environment and Planning A, , vol. 7(4), pages 455-472, June.
    15. repec:taf:specan:v:7:y:2011:i:1:p:75-107 is not listed on IDEAS
    16. Bruce E. Hansen, 2007. "Least Squares Model Averaging," Econometrica, Econometric Society, vol. 75(4), pages 1175-1189, July.
    17. Harry Kelejian, 2008. "A spatial J-test for model specification against a single or a set of non-nested alternatives," Letters in Spatial and Resource Sciences, Springer, vol. 1(1), pages 3-11, April.
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    Cited by:

    1. Alice Milivinti, 2019. "A spatio-temporal analysis of migration," Empirical Economics, Springer, vol. 57(4), pages 1411-1442, October.
    2. Aliaga, Javier & Herrera, Marcos & Leguía, Daniel & Mur, Jesús & Ruiz, Manuel & Villegas, Horacio, 2011. "Spatial Causality. An application to the Deforestation Process in Bolivia," INVESTIGACIONES REGIONALES - Journal of REGIONAL RESEARCH, Asociación Española de Ciencia Regional, issue 21, pages 183-198.
    3. Jes?s Mur, 2013. "Causality, Uncertainty and Identification: Three Issues on the Spatial Econometrics Agenda," SCIENZE REGIONALI, FrancoAngeli Editore, vol. 2013(1), pages 5-27.
    4. Chen, Xin & Xuan, Chao & Qiu, Rui, 2021. "Understanding spatial spillover effects of airports on economic development: New evidence from China’s hub airports," Transportation Research Part A: Policy and Practice, Elsevier, vol. 143(C), pages 48-60.

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    More about this item

    Keywords

    Spatial weighting matrix; Nonparametric procedure; Conditional entropy;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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