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Inference on Factor Structures in Heterogeneous Panels

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Author Info

  • 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)

Abstract

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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File URL: http://economia.unipv.it/docs/dipeco/quad/ps/RePEc/pav/demwpp/DEMWP0002.pdf
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Bibliographic Info

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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Related research

Keywords: Large Panels; CCE Estimator; Principal Component Estimator; Testing for Factor Structure; Extreme Value Distribution.;

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References

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  1. M. Hashem Pesaran & Elisa Tosetti, 2007. "Large Panels with Common Factors and Spatial Correlations," CESifo Working Paper Series 2103, CESifo Group Munich.
  2. Peter C.B. Phillips & Hyungsik R. Moon, 1999. "Linear Regression Limit Theory for Nonstationary Panel Data," Cowles Foundation Discussion Papers 1222, Cowles Foundation for Research in Economics, Yale University.
  3. Hashem Pesaran, M. & Yamagata, Takashi, 2008. "Testing slope homogeneity in large panels," Journal of Econometrics, Elsevier, vol. 142(1), pages 50-93, January.
  4. Markus Eberhardt & Christian Helmers & Hubert Strauss, . "Do Spillovers Matter When Estimating Private Returns to R&D?," Discussion Papers 11/22, University of Nottingham, GEP.
  5. 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.
  6. Jushan Bai & Serena Ng, 2000. "Determining the Number of Factors in Approximate Factor Models," Econometric Society World Congress 2000 Contributed Papers 1504, Econometric Society.
  7. Carolina Castagnetti & Eduardo Rossi, 2013. "Euro Corporate Bond Risk Factors," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 28(3), pages 372-391, 04.
  8. 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.
  9. 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.
  10. M. Hashem Pesaran, 2006. "Estimation and Inference in Large Heterogeneous Panels with a Multifactor Error Structure," Econometrica, Econometric Society, vol. 74(4), pages 967-1012, 07.
  11. 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.
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Cited by:
  1. Carolina Castagnetti & Eduardo Rossi & Lorenzo Trapani, 2014. "A Two-Stage Estimator for Heterogeneous Panel Models with Common Factors," DEM Working Papers Series 066, University of Pavia, Department of Economics and Management.

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