Testing for Sphericity in a Fixed Effects Panel Data Model (Revised July 2009)
This paper proposes a test for sphericity in a fixed effects panel data model. It uses the Random Matrix Theory based approach of Ledoit and Wolf (2002) to test for sphericity of the error terms in a fixed effects panel model with a large number of cross-sectional units and time series observations. Since the errors are unobservable, the residuals from the fixed effects regression are used. The limiting distribution of the proposed test statistic is derived. Additionally, its finite sample properties are examined using Monte Carlo simulations.
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- Pesaran, M.H., 2004.
"‘General Diagnostic Tests for Cross Section Dependence in Panels’,"
Cambridge Working Papers in Economics
0435, Faculty of Economics, University of Cambridge.
- M. Hashem Pesaran, 2004. "General Diagnostic Tests for Cross Section Dependence in Panels," CESifo Working Paper Series 1229, CESifo Group Munich.
- Pesaran, M. Hashem, 2004. "General Diagnostic Tests for Cross Section Dependence in Panels," IZA Discussion Papers 1240, Institute for the Study of Labor (IZA).
- Birke, Melanie & Dette, Holger, 2005. "A note on testing the covariance matrix for large dimension," Statistics & Probability Letters, Elsevier, vol. 74(3), pages 281-289, October.
- Ng, Serena, 2006. "Testing Cross-Section Correlation in Panel Data Using Spacings," Journal of Business & Economic Statistics, American Statistical Association, vol. 24, pages 12-23, January.
- Pesaran, M.H. & Ullah, A. & Yamagata. T., 2006.
"A Bias-Adjusted LM Test of Error Cross Section Independence,"
Cambridge Working Papers in Economics
0641, Faculty of Economics, University of Cambridge.
- M. Hashem Pesaran & Aman Ullah & Takashi Yamagata, 2008. "A bias-adjusted LM test of error cross-section independence," Econometrics Journal, Royal Economic Society, vol. 11(1), pages 105-127, 03.
- Donald W.K. Andrews, 2004.
"Cross-section Regression with Common Shocks,"
Yale School of Management Working Papers
ysm401, Yale School of Management.
- M. Hashem Pesaran, 2006.
"Estimation and Inference in Large Heterogeneous Panels with a Multifactor Error Structure,"
Econometric Society, vol. 74(4), pages 967-1012, 07.
- M. Hashem Pesaran, 2004. "Estimation and Inference in Large Heterogeneous Panels with a Multifactor Error Structure," CESifo Working Paper Series 1331, CESifo Group Munich.
- Breusch, T S & Pagan, A R, 1980.
"The Lagrange Multiplier Test and Its Applications to Model Specification in Econometrics,"
Review of Economic Studies,
Wiley Blackwell, vol. 47(1), pages 239-53, January.
- Breusch, T.S. & Pagan, A.R., . "The Lagrange multiplier test and its applications to model specification in econometrics," CORE Discussion Papers RP -412, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- 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.
- 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.
- Ledoit, Olivier & Wolf, Michael, 2004. "A well-conditioned estimator for large-dimensional covariance matrices," Journal of Multivariate Analysis, Elsevier, vol. 88(2), pages 365-411, February.
- Lee, Lung-Fei, 2002. "Consistency And Efficiency Of Least Squares Estimation For Mixed Regressive, Spatial Autoregressive Models," Econometric Theory, Cambridge University Press, vol. 18(02), pages 252-277, April.
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