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Dynamic Panel Estimation and Homogeneity Testing Under Cross Section Dependence

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Author Info
Peter C.B.Phillips () (Cowles Foundation)
Donggyu Sul (University of Auckland)

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Abstract

This paper deals with cross section dependence, homogeneity restrictions and small sample bias issues in dynamic panel regressions. To address the bias problem we develop a panel approach to median unbiased estimation that takes account of cross section dependence. The new estimators given here considerably reduce the effects of bias and gain precision from estimating cross section error correlation. The paper also develops an asymptotic theory for tests of coefficient homogeneity under cross section dependence, and proposes a modified Hausman test to test for the presence of homogeneous unit roots. An orthogonalization procedure is developed to remove cross section dependence and permit the use of conventional and meta unit root tests with panel data. Some simulations investigating the finite sample performance of the estimation and test procedures are reported.

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File URL: http://cowles.econ.yale.edu/P/cd/d13b/d1362.pdf
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Publisher Info
Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 1362.

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Length: 56 pages
Date of creation: May 2002
Date of revision:
Publication status: Published in Econometrics Journal (June 2003), 6(1): 217-259
Handle: RePEc:cwl:cwldpp:1362

Note: CFP 1136
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Related research
Keywords: Autoregression; Bias; Cross section dependence; Dynamic factors; Dynamic panel estimation; GLS estimation; Homogeneity tests; Median unbiased estimation; Modified Hausman tests; Median unbiased SUR estimation; Orthogonalization procedure; Panel unit root test;

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Find related papers by JEL classification:
C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions
C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-58, May. [Downloadable!] (restricted)
    Other versions:
  2. Kaddour Hadri, 1999. "Testing For Stationarity In Heterogeneous Panel Data," Research Papers 1999_04, University of Liverpool Management School.
    Other versions:
  3. Andrews, Donald W K & Monahan, J Christopher, 1992. "An Improved Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimator," Econometrica, Econometric Society, vol. 60(4), pages 953-66, July. [Downloadable!] (restricted)
    Other versions:
  4. Choi, In, 2001. "Unit root tests for panel data," Journal of International Money and Finance, Elsevier, vol. 20(2), pages 249-272, April. [Downloadable!] (restricted)
  5. Donald W.K. Andrews, 1991. "Exactly Unbiased Estimation of First Order Autoregressive-Unit Root Models," Cowles Foundation Discussion Papers 975, Cowles Foundation, Yale University. [Downloadable!]
  6. Nickell, Stephen J, 1981. "Biases in Dynamic Models with Fixed Effects," Econometrica, Econometric Society, vol. 49(6), pages 1417-26, November. [Downloadable!] (restricted)
  7. Barro, R.J. & Sala-I-Martin, X., 1991. "Convergence," Papers 645, Yale - Economic Growth Center.
    Other versions:
  8. Frankel, Jeffrey A. & Rose, Andrew K., 1996. "A panel project on purchasing power parity: Mean reversion within and between countries," Journal of International Economics, Elsevier, vol. 40(1-2), pages 209-224, February. [Downloadable!] (restricted)
    Other versions:
  9. Maddala, G S & Wu, Shaowen, 1999. " A Comparative Study of Unit Root Tests with Panel Data and a New Simple Test," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(0), pages 631-52, Special I. [Downloadable!] (restricted)
  10. Im, Kyung So & Pesaran, M. Hashem & Shin, Yongcheol, 2003. "Testing for unit roots in heterogeneous panels," Journal of Econometrics, Elsevier, vol. 115(1), pages 53-74, July. [Downloadable!] (restricted)
    Other versions:
  11. Wouter J. den Haan & Andrew Levin, 1994. "Inferences from Parametric and Non-Parametric Covariance Matrix Estimation Procedures," University of California at San Diego, Economics Working Paper Series 94-30, Department of Economics, UC San Diego.
    Other versions:
  12. Dr. Peter Kenning & Hilke Plassmann, 2004. "NeuroEconomics," Experimental 0412005, EconWPA. [Downloadable!]
  13. Andrews, Donald W K & Chen, Hong-Yuan, 1994. "Approximately Median-Unbiased Estimation of Autoregressive Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 187-204, April.
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Hsiao, Cheng & Pesaran, M. Hashem, 2004. "Random Coefficient Panel Data Models," IZA Discussion Papers 1236, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  2. Yixiao Sun, 2005. "Estimation and Inference in Panel Structure Models," University of California at San Diego, Economics Working Paper Series 2005-11, Department of Economics, UC San Diego. [Downloadable!]
  3. Valentina Meliciani & Franco Peracchi, 2004. "Convergence in Per-capita GDP Across European Regions: A Reappraisal," CEIS Research Paper 58, Tor Vergata University, CEIS. [Downloadable!]
    Other versions:
  4. M. Hashem Pesaran, 2003. "Estimation and Inference in Large Heterogenous Panels with Cross Section Dependence," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
    Other versions:
  5. Florian Pelgrin & Sebastian Schich, 2004. "National Saving-Investment Dynamics and International Capital Mobility," Working Papers 04-14, Bank of Canada. [Downloadable!]
  6. Pesaran, M.H., 2003. "A Simple Panel Unit Root Test in the Presence of Cross Section Dependence," Cambridge Working Papers in Economics 0346, Faculty of Economics, University of Cambridge. [Downloadable!]
    Other versions:
  7. Moon, H.R. & Perron, B., 2002. "Testing for a Unit Root in Panels with Dynamic Factors," Cahiers de recherche 18-2002, Centre interuniversitaire de recherche en économie quantitative, CIREQ. [Downloadable!]
    Other versions:
  8. Nelson C. Mark & Masao Ogaki & Donggyu Sul, 2003. "Dynamic Seemingly Unrelated Cointegrating Regression," NBER Technical Working Papers 0292, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  9. Binder, M. & Hsaio, C. & Pesaran, M.H., 2000. "Estimation and Inference in Short Panel Vector Autoregressions with Unit Roots and Cointegration," Cambridge Working Papers in Economics 0003, Faculty of Economics, University of Cambridge. [Downloadable!]
    Other versions:
  10. Nelson C. Mark & Donggyu Sul, 2002. "Cointegration Vector Estimation by Panel DOLS and Long-Run Money Demand," NBER Technical Working Papers 0287, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  11. Yongcheol Shin & Andy Snell, 2004. "Mean Group Tests for Stationarity in Heterogenous Panels," ESE Discussion Papers 107, Edinburgh School of Economics, University of Edinburgh. [Downloadable!]
    Other versions:
  12. Luciano Gutierrez, 2003. "Common and idiosyncratic shocks to labor productivity across sectors and countries: Is climate relevant?," Macroeconomics 0311008, EconWPA. [Downloadable!]
  13. Laura Serlenga & Yongcheol Shin, 2004. "Gravity Models of the Intra-EU Trade: Application of the Hausman-Taylor Estimation in Heterogeneous Panels with Common Time-specific Factors," ESE Discussion Papers 105, Edinburgh School of Economics, University of Edinburgh. [Downloadable!]
  14. Alexander Ludwig & Torsten Sløk, 2004. "The relationship between stock prices, house prices and consumption in OECD countries," MEA discussion paper series 04044, Mannheim Research Institute for the Economics of Aging (MEA), University of Mannheim. [Downloadable!]
    Other versions:
  15. Peter C.B. Phillips & Donggyu Sul, 2003. "Bias in Dynamic Panel Estimation with Fixed Effects, Incidental Trends and Cross Section Dependence," Cowles Foundation Discussion Papers 1438, Cowles Foundation, Yale University, revised Jun 2004. [Downloadable!]
    Other versions:
  16. Ludwig, Alexander & Sløk, Torsten, 2004. "The relationship between stock prices, house prices and consumption in OECD," Sonderforschungsbereich 504 Publications 04-12, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim. [Downloadable!]
  17. Mark J. Holmes & Arthur Grimes, 2005. "Is there long-run convergence of regional house prices in the UK?," Working Papers 05_11, Motu Economic and Public Policy Research. [Downloadable!]
  18. George Kapetanios, 2007. "Dynamic factor extraction of cross-sectional dependence in panel unit root tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 313-338. [Downloadable!]
  19. Peter C.B. Phillips, 2003. "Laws and Limits of Econometrics," Cowles Foundation Discussion Papers 1397, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  20. Yoosoon Chang & Wonho Song, 2002. "Panel Unit Root Tests in the Presence of Cross-Sectional Dependency and Heterogeneity," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 B5-2, International Conferences on Panel Data. [Downloadable!]
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This page was last updated on 2009-12-4.

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