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Inference on Factor Structures in Heterogeneous Panels

  • Carolina Castagnetti

    (Department of Economics and Management, University of Pavia)

  • Eduardo Rossi

    (Department of Economics and Management, University of Pavia)

  • Lorenzo Trapani

    (Cass Business School, City University London)

This paper develops an estimation and testing framework for a stationary large panel model with observable regressors and unobservable common factors. We allow for slope heterogeneity and for correlation between the common factors and the regressors. We propose a two stage estimation procedure for the unobservable common factors and their loadings, based on applying Pesaran’s (2006) CCE estimator and the Principal Component estimator. We also develop two tests for the null of no factor structure: one for the null that loadings are cross sectionally homogeneous, and one for the null that common factors are homogeneous over time. Our tests are based on using extremes of the estimated loadings and common factors. The test statistics have an asymptotic Gumbel distribution under the null, and have power versus alternatives where only one loading or common factor differs from the others. Monte Carlo evidence shows that the tests have the correct size and good power.

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Paper provided by University of Pavia, Department of Economics and Management in its series DEM Working Papers Series with number 002.

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Length: 61 pages
Date of creation: Sep 2012
Date of revision:
Handle: RePEc:pav:demwpp:demwp0002
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  1. Pesaran, M.H. & Tosetti, E., 2007. "Large Panels with Common Factors and Spatial Correlations," Cambridge Working Papers in Economics 0743, Faculty of Economics, University of Cambridge.
  2. George Kapetanios, 2003. "Determining the Poolability of Individual Series in Panel Datasets," Working Papers 499, Queen Mary University of London, School of Economics and Finance.
  3. M. Hashem Pesaran & Takashi Yamagata, 2005. "Testing Slope Homogeneity in Large Panels," IEPR Working Papers 05.14, Institute of Economic Policy Research (IEPR).
  4. Sarafidis, Vasilis & Yamagata, Takashi & Robertson, Donald, 2009. "A test of cross section dependence for a linear dynamic panel model with regressors," Journal of Econometrics, Elsevier, vol. 148(2), pages 149-161, February.
  5. Eberhardt, Markus & Helmers, Christian & Strauss, Hubert, 2010. "Do spillovers matter when estimating private returns to R&D?," Economic and Financial Reports 2010/1, European Investment Bank, Economics Department.
  6. Peter C. B. Phillips & Hyungsik R. Moon, 1999. "Linear Regression Limit Theory for Nonstationary Panel Data," Econometrica, Econometric Society, vol. 67(5), pages 1057-1112, September.
  7. Jushan Bai, 2009. "Panel Data Models With Interactive Fixed Effects," Econometrica, Econometric Society, vol. 77(4), pages 1229-1279, 07.
  8. Alexander Chudik & M. Hashem Pesaran & Elisa Tosetti, 2009. "Weak and Strong Cross Section Dependence and Estimation of Large Panels," CESifo Working Paper Series 2689, CESifo Group Munich.
  9. Carolina Castagnetti & Eduardo Rossi & Lorenzo Trapani, 2014. "Inference on Factor Structures in Heterogeneous Panels," DEM Working Papers Series 088, University of Pavia, Department of Economics and Management.
  10. Jushan Bai & Serena Ng, 2002. "Determining the Number of Factors in Approximate Factor Models," Econometrica, Econometric Society, vol. 70(1), pages 191-221, January.
  11. M. Hashem Pesaran & Elisa Tosetti, 2011. "Large panels with common factors and spatial correlation," Post-Print peer-00796743, HAL.
  12. Alexander Chudik & M. Hashem Pesaran, 2013. "Common Correlated Effects Estimation of Heterogeneous Dynamic Panel Data Models with Weakly Exogenous Regressors," CESifo Working Paper Series 4232, CESifo Group Munich.
  13. Castagnetti, Carolina & Rossi, Eduardo, 2008. "Euro corporate bonds risk factors," MPRA Paper 13440, University Library of Munich, Germany.
  14. Corradi, Valentina, 1999. "Deciding Between I(0) And I(1) Via Flil-Based Bounds," Econometric Theory, Cambridge University Press, vol. 15(05), pages 643-663, October.
  15. Donald W.K. Andrews, 1988. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Cowles Foundation Discussion Papers 877R, Cowles Foundation for Research in Economics, Yale University, revised Jul 1989.
  16. Carolina Castagnetti & Eduardo Rossi & Lorenzo Trapani, 2014. "Testing for no factor structures: on the use of average-type and Hausman-type statistics," DEM Working Papers Series 092, University of Pavia, Department of Economics and Management.
  17. M. Hashem Pesaran, 2004. "Estimation and Inference in Large Heterogeneous Panels with a Multifactor Error Structure," CESifo Working Paper Series 1331, CESifo Group Munich.
  18. Markus Eberhardt & Francis Teal, 2013. "No Mangoes in the Tundra: Spatial Heterogeneity in Agricultural Productivity Analysis," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 75(6), pages 914-939, December.
  19. Declan French & Colin O'Hare, 2013. "A Dynamic Factor Approach to Mortality Modeling," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 32(7), pages 587-599, November.
  20. Joakim Westerlund & Wolfgang Hess, 2011. "A new poolability test for cointegrated panels," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 26(1), pages 56-88, January/F.
  21. Davidson, James, 1994. "Stochastic Limit Theory: An Introduction for Econometricians," OUP Catalogue, Oxford University Press, number 9780198774037, July.
  22. Peter Hall & Hugh Miller, 2010. "Bootstrap confidence intervals and hypothesis tests for extrema of parameters," Biometrika, Biometrika Trust, vol. 97(4), pages 881-892.
  23. Jenish, Nazgul & Prucha, Ingmar R., 2012. "On spatial processes and asymptotic inference under near-epoch dependence," Journal of Econometrics, Elsevier, vol. 170(1), pages 178-190.
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