A Bias-Adjusted LM Test of Error Cross Section Independence
AbstractThis paper proposes bias-adjusted normal approximation versions of Lagrange multiplier (NLM) test of error cross section independence of Breusch and Pagan (1980) in the case of panel models with strictly exogenous regressors and normal errors. The exact mean and variance of the Lagrange multiplier (LM) test statistic are provided for the purpose of the bias-adjustments, and it is shown that the proposed tests have a standard normal distribution for the fixed time series dimension (T) as the cross section dimension (N) tends to infinity. Importantly, the proposed bias-adjusted NLM tests are consistent even when the Pesaran’s (2004) CD test is inconsistent. The finite sample evidence shows that the bias adjusted NLM tests successfully control the size, maintaining satisfactory power. However, it is also shown that the bias-adjusted NLM tests are not as robust as the CD test to non-normal errors and/or in the presence of weakly exogenous regressors.
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Bibliographic InfoPaper provided by Faculty of Economics, University of Cambridge in its series Cambridge Working Papers in Economics with number 0641.
Date of creation: May 2006
Date of revision:
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Web page: http://www.econ.cam.ac.uk/index.htm
Cross Section Dependence; Spatial Dependence; LM test; Panel Model; Bias-adjusted Test;
Other versions of this item:
- M. Hashem Pesaran & Aman Ullah & Takashi Yamagata, 2008. "A bias-adjusted LM test of error cross-section independence," Econometrics Journal, Royal Economic Society, Royal Economic Society, vol. 11(1), pages 105-127, 03.
- C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
- C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
- C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
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- Ullah, Aman, 2004. "Finite Sample Econometrics," OUP Catalogue, Oxford University Press, Oxford University Press, edition 1, number 9780198774488, October.
- Frees, Edward W., 1995. "Assessing cross-sectional correlation in panel data," Journal of Econometrics, Elsevier, Elsevier, vol. 69(2), pages 393-414, October.
- Pesaran, M.H., 2004.
"‘General Diagnostic Tests for Cross Section Dependence in Panels’,"
Cambridge Working Papers in Economics, Faculty of Economics, University of Cambridge
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).
- 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).
- 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, Wiley Blackwell, vol. 47(1), pages 239-53, January.
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