Heteroskedasticity and non-normality robust LM tests for spatial dependence
AbstractThe standard LM tests for spatial dependence in linear and panel regressions are derived under the normality and homoskedasticity assumptions of the regression disturbances. Hence, they may not be robust against non-normality or heteroskedasticity of the disturbances. Following Born and Breitung (2011), we introduce general methods to modify the standard LM tests so that they become robust against heteroskedasticity and non-normality. The idea behind the robustification is to decompose the concentrated score function into a sum of uncorrelated terms so that the outer product of gradient (OPG) can be used to estimate its variance. We also provide methods for improving the finite sample performance of the proposed tests. These methods are then applied to several popular spatial models. Monte Carlo results show that they work well in finite sample.
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Bibliographic InfoArticle provided by Elsevier in its journal Regional Science and Urban Economics.
Volume (Year): 43 (2013)
Issue (Month): 5 ()
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Web page: http://www.elsevier.com/locate/regec
Centering; Heteroskedasticity; Non-normality; LM test; Panel model; Spatial dependence;
Other versions of this item:
- Badi H. Baltagi & Zhenlin Yang, 2013. "Heteroskedasticity and Non-normality Robust LM Tests for Spatial Dependence," Center for Policy Research Working Papers 156, Center for Policy Research, Maxwell School, Syracuse University.
- C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
- C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
- C5 - Mathematical and Quantitative Methods - - Econometric Modeling
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Glaeser, Edward L & Sacerdote, Bruce & Scheinkman, Jose A, 1996.
"Crime and Social Interactions,"
The Quarterly Journal of Economics,
MIT Press, vol. 111(2), pages 507-48, May.
- Edward E. Glaeser & Bruce Sacerdote & Jose A. Scheinkman, 1995. "Crime and Social Interactions," Harvard Institute of Economic Research Working Papers 1738, Harvard - Institute of Economic Research.
- Edward L. Glaeser & Bruce Sacerdote & Jose A. Scheinkman, 1995. "Crime and Social Interactions," NBER Working Papers 5026, National Bureau of Economic Research, Inc.
- Badi H. Baltagi & Zhenlin Yang, 2012.
"Standardized LM Tests for Spatial Error Dependence in Linear or Panel Regressions,"
Center for Policy Research Working Papers
142, Center for Policy Research, Maxwell School, Syracuse University.
- Badi H. Baltagi & Zhenlin Yang, 2013. "Standardized LM tests for spatial error dependence in linear or panel regressions," Econometrics Journal, Royal Economic Society, vol. 16(1), pages 103-134, 02.
- Badi H. Baltagi & Zhenlin Yang, 2010. "Standardized LM Tests for Spatial Error Dependence in Linear or Panel Regressions," Working Papers 11-2010, Singapore Management University, School of Economics.
- Kelejian, Harry H. & Prucha, Ingmar R., 2010. "Specification and estimation of spatial autoregressive models with autoregressive and heteroskedastic disturbances," Journal of Econometrics, Elsevier, vol. 157(1), pages 53-67, July.
- Nicolas Debarsy & Cem Ertur, 2009.
"Testing for Spatial Autocorrelation in a Fixed Effects Panel Data Model,"
- Debarsy, Nicolas & Ertur, Cem, 2010. "Testing for spatial autocorrelation in a fixed effects panel data model," Regional Science and Urban Economics, Elsevier, vol. 40(6), pages 453-470, November.
- 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.
- Zhenlin Yang, 2009.
"A Robust LM Test for Spatial Error Components,"
Development Economics Working Papers
22488, East Asian Bureau of Economic Research.
- Russell Davidson & James G. MacKinnon, 1985.
"Heteroskedasticity-Robust Tests in Regression Directions,"
616, Queen's University, Department of Economics.
- DAVIDSON, Russel & MACKINNON, James G., . "Heteroskedastcity-robust tests in regressions directions," CORE Discussion Papers RP -678, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- 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.
- Lin, Xu & Lee, Lung-fei, 2010. "GMM estimation of spatial autoregressive models with unknown heteroskedasticity," Journal of Econometrics, Elsevier, vol. 157(1), pages 34-52, July.
- 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.
- Badi H. Baltagi & Seuck Heun Song & Won Koh, 2002. "Testing Panel Data Regression Models with Spatial Error Correlation," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 B6-4, International Conferences on Panel Data.
- White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-38, May.
- Lee, Lung-fei & Yu, Jihai, 2010. "Estimation of spatial autoregressive panel data models with fixed effects," Journal of Econometrics, Elsevier, vol. 154(2), pages 165-185, February.
- Benjamin Born & Jörg Breitung, 2011.
"Simple regression‐based tests for spatial dependence,"
Royal Economic Society, vol. 14(2), pages 330-342, 07.
- Benjamin Born & Jörg Breitung, 2009. "Simple Regression Based Tests for Spatial Dependence," Bonn Econ Discussion Papers bgse23_2009, University of Bonn, Germany.
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