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Inference on Factor Structures in Heterogeneous Panels

Author

Listed:
  • 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.

Suggested Citation

  • Carolina Castagnetti & Eduardo Rossi & Lorenzo Trapani, 2012. "Inference on Factor Structures in Heterogeneous Panels," DEM Working Papers Series 002, University of Pavia, Department of Economics and Management.
  • Handle: RePEc:pav:demwpp:demwp0002
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    References listed on IDEAS

    as
    1. Markus Eberhardt & Christian Helmers & Hubert Strauss, 2013. "Do Spillovers Matter When Estimating Private Returns to R&D?," The Review of Economics and Statistics, MIT Press, pages 436-448.
    2. Jushan Bai & Serena Ng, 2002. "Determining the Number of Factors in Approximate Factor Models," Econometrica, Econometric Society, vol. 70(1), pages 191-221, January.
    3. Davidson, James, 1994. "Stochastic Limit Theory: An Introduction for Econometricians," OUP Catalogue, Oxford University Press, number 9780198774037.
    4. Hashem Pesaran, M. & Yamagata, Takashi, 2008. "Testing slope homogeneity in large panels," Journal of Econometrics, Elsevier, vol. 142(1), pages 50-93, January.
    5. Peter Hall & Hugh Miller, 2010. "Bootstrap confidence intervals and hypothesis tests for extrema of parameters," Biometrika, Biometrika Trust, vol. 97(4), pages 881-892.
    6. Castagnetti, Carolina & Rossi, Eduardo & Trapani, Lorenzo, 2015. "Inference on factor structures in heterogeneous panels," Journal of Econometrics, Elsevier, pages 145-157.
    7. Alexander Chudik & M. Hashem Pesaran & Elisa Tosetti, 2011. "Weak and strong cross‐section dependence and estimation of large panels," Econometrics Journal, Royal Economic Society, vol. 14(1), pages 45-90, February.
    8. Pesaran, M. Hashem & Tosetti, Elisa, 2011. "Large panels with common factors and spatial correlation," Journal of Econometrics, Elsevier, vol. 161(2), pages 182-202, April.
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    17. 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.
    18. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-858, May.
    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.
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    Cited by:

    1. Castagnetti, Carolina & Rossi, Eduardo & Trapani, Lorenzo, 2015. "Inference on factor structures in heterogeneous panels," Journal of Econometrics, Elsevier, vol. 184(1), pages 145-157.
    2. 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.
    3. Castagnetti, Carolina & Rossi, Eduardo & Trapani, Lorenzo, 2015. "Testing for no factor structures: On the use of Hausman-type statistics," Economics Letters, Elsevier, vol. 130(C), pages 66-68.
    4. 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.
    5. Lu, Lina, 2017. "Simultaneous Spatial Panel Data Models with Common Shocks," Risk and Policy Analysis Unit Working Paper RPA 17-3, Federal Reserve Bank of Boston.

    More about this item

    Keywords

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

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models

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