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Standardized LM tests for spatial error dependence in linear or panel regressions

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  • Badi H. Baltagi
  • Zhenlin Yang

Abstract

The robustness of the LM tests for spatial error dependence of Burridge (1980) and Born and Breitung (2011) for the linear regression model, and Anselin (1988) and Debarsy and Ertur (2010) for the panel regression model with random or fixed effects are examined. While all tests are asymptotically robust against distributional misspecification, their finite sample behavior may be sensitive to the spatial layout. To overcome this shortcoming, standardized LM tests are suggested. Monte Carlo results show that the new tests possess good finite sample properties. An important observation made throughout this study is that the LM tests for spatial dependence need to be both mean- and variance-adjusted for good finite sample performance to be achieved. The former is, however, often neglected in the literature. Key Words: Bootstrap; Distributional misspecification; Group interaction; LM test; Moran’s I Test; Robustness; Spatial layout; Spatial panel models JEL No. C21, C23, C5

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Bibliographic Info

Article provided by Royal Economic Society in its journal Econometrics Journal.

Volume (Year): 16 (2013)
Issue (Month): 1 (02)
Pages: 103-134

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Handle: RePEc:wly:emjrnl:v:16:y:2013:i:1:p:103-134

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References

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  1. Benjamin Born & Jörg Breitung, 2011. "Simple regression‐based tests for spatial dependence," Econometrics Journal, Royal Economic Society, vol. 14(2), pages 330-342, 07.
  2. Honda, Yuzo, 1991. "A standardized test for the error components model with the two-way layout," Economics Letters, Elsevier, vol. 37(2), pages 125-128, October.
  3. Case, Anne C, 1991. "Spatial Patterns in Household Demand," Econometrica, Econometric Society, vol. 59(4), pages 953-65, July.
  4. Koenker, Roger, 1981. "A note on studentizing a test for heteroscedasticity," Journal of Econometrics, Elsevier, vol. 17(1), pages 107-112, September.
  5. Honda, Yuzo, 1985. "Testing the Error Components Model with Non-normal Disturbances," Review of Economic Studies, Wiley Blackwell, vol. 52(4), pages 681-90, October.
  6. Baltagi, Badi H. & Song, Seuck Heun & Koh, Won, 2003. "Testing panel data regression models with spatial error correlation," Journal of Econometrics, Elsevier, vol. 117(1), pages 123-150, November.
  7. Robinson, P.M., 2008. "Correlation testing in time series, spatial and cross-sectional data," Journal of Econometrics, Elsevier, vol. 147(1), pages 5-16, November.
  8. Zhenlin Yang, 2009. "A Robust LM Test for Spatial Error Components," Working Papers 04-2009, Singapore Management University, School of Economics.
  9. H. Kelejian, Harry & Prucha, Ingmar R., 2001. "On the asymptotic distribution of the Moran I test statistic with applications," Journal of Econometrics, Elsevier, vol. 104(2), pages 219-257, September.
  10. Moulton, Brent R & Randolph, William C, 1989. "Alternative Tests of the Error Components Model," Econometrica, Econometric Society, vol. 57(3), pages 685-93, May.
  11. Nicolas Debarsy & Cem Ertur, 2009. "Testing for Spatial Autocorrelation in a Fixed Effects Panel Data Model," Post-Print halshs-00414133, HAL.
  12. 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.
  13. Baltagi, Badi H. & Chang, Young-Jae & Li, Qi, 1992. "Monte Carlo results on several new and existing tests for the error component model," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 95-120.
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Cited by:
  1. Leonardo Chaves Borges Cardoso & Maurício Vaz Lobo Bittencourt & Alexandre Alves Porsse, 2014. "Demanda Por Combustíveis Leves No Brasil: Uma Abordagem Utilizando Painéis Espaciais Dinâmicos," Anais do XLI Encontro Nacional de Economia [Proceedings of the 41th Brazilian Economics Meeting] 194, ANPEC - Associação Nacional dos Centros de Pósgraduação em Economia [Brazilian Association of Graduate Programs in Economics].
  2. Baltagi, Badi H. & Yang, Zhenlin, 2013. "Heteroskedasticity and non-normality robust LM tests for spatial dependence," Regional Science and Urban Economics, Elsevier, vol. 43(5), pages 725-739.
  3. Zhenlin Yang, 2013. "LM Tests of Spatial Dependence Based on Bootstrap Critical Values," Working Papers 03-2013, Singapore Management University, School of Economics.
  4. Peter M Robinson & Francesca Rossi, 2013. "Improved Lagrange Multiplier Tests in Spatial Autoregressions," STICERD - Econometrics Paper Series /2013/566, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  5. Guo, Penghui & Liu, Lihu, 2011. "Robust Test for Spatial Error Model:Considering Changes of Spatial Layouts and Distribution Misspecification," MPRA Paper 38050, University Library of Munich, Germany, revised Apr 2012.

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