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An extension of Kelejian's J-test for non-nested spatial models

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  • Kelejian, Harry H.
  • Piras, Gianfranco

Abstract

In 2008 Kelejian extended the J-test procedure to a spatial framework. In that paper he considered a null model which could, but need not, contain spatial lags in both the dependent variable and disturbance term. Under the alternative, he considered one or more non-nested spatial models which could, but need not, also contain spatial lags. Although his suggested test was computationally simple and intuitive, it did not use the available information in an efficient manner. In this paper we suggest a modification of Kelejian's J-test which uses the available information in a more efficient way. We give large sample, as well as small sample Monte Carlo results. Perhaps counter to intuition, we also demonstrate that the "J-test procedure" cannot be used to establish a test for the structure of the error term.

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Bibliographic Info

Article provided by Elsevier in its journal Regional Science and Urban Economics.

Volume (Year): 41 (2011)
Issue (Month): 3 (May)
Pages: 281-292

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Handle: RePEc:eee:regeco:v:41:y:2011:i:3:p:281-292

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Related research

Keywords: Spatial models Non-nested J-test Model specification;

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Cited by:
  1. Roger Bivand & Gianfranco Piras, 2013. "Comparing Implementations of Estimation Methods for Spatial Econometrics," Working Papers 201301, Regional Research Institute, West Virginia University.
  2. Miguel A. Delgado & Peter M Robinson, 2013. "Non-Nested Testing of Spatial Correlation," STICERD - Econometrics Paper Series /2013/568, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  3. Burridge, Peter, 2011. "A research agenda on general-to-specific spatial model search," Investigaciones Regionales, AsociaciĆ³n EspaƱola de Ciencia Regional, issue 21, pages 71-90.
  4. Liu, Xiaodong & Patacchini, Eleonora & Zenou, Yves, 2011. "Peer Effects in Education, Sport, and Screen Activities: Local Aggregate or Local Average?," CEPR Discussion Papers 8477, C.E.P.R. Discussion Papers.
  5. Seya, Hajime & Yamagata, Yoshiki & Tsutsumi, Morito, 2013. "Automatic selection of a spatial weight matrix in spatial econometrics: Application to a spatial hedonic approach," Regional Science and Urban Economics, Elsevier, vol. 43(3), pages 429-444.
  6. Han, Xiaoyi & Lee, Lung-fei, 2013. "Model selection using J-test for the spatial autoregressive model vs. the matrix exponential spatial model," Regional Science and Urban Economics, Elsevier, vol. 43(2), pages 250-271.
  7. Jin, Fei & Lee, Lung-fei, 2013. "Cox-type tests for competing spatial autoregressive models with spatial autoregressive disturbances," Regional Science and Urban Economics, Elsevier, vol. 43(4), pages 590-616.
  8. Liu, Xiaodong & Patacchini, Eleonora & Zenou, Yves, 2014. "Endogenous peer effects: local aggregate or local average?," Journal of Economic Behavior & Organization, Elsevier, vol. 103(C), pages 39-59.

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