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Unit Roots and Identification in Autoregressive Panel Data Models: A Comparison of Alternative Tests

Author

Listed:
  • Stephen Bond

    (Institute for Fiscal Studies)

  • Céline Nauges

    (LEERNA-INRA Toulouse)

  • Frank Windmeijer

    (Institute for Fiscal Studies)

Abstract

We compare the finite sample behaviour of various unit root tests for micro panels where the number of individuals is typically large, but the number of time periods is often very small. As in this case some econometric estimators do not identify the parameters of interest when the processes are random walks, it is important to test for unit roots/identification. We find that a t-test based on OLS estimation results provides a simple robust test with high power for cases when the variance of the unobserved heterogeneity is relatively small. Its behaviour is similar to the underidentification test as proposed by Arellano, Hansen and Sentana (1999) for the GMM estimator on a first-differenced model.

Suggested Citation

  • Stephen Bond & Céline Nauges & Frank Windmeijer, 2002. "Unit Roots and Identification in Autoregressive Panel Data Models: A Comparison of Alternative Tests," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 C5-4, International Conferences on Panel Data.
  • Handle: RePEc:cpd:pd2002:c5-4
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    File URL: http://econpapers.repec.org/cpd/2002/67_Nauges.pdf
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    References listed on IDEAS

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    1. Binder, Michael & Hsiao, Cheng & Pesaran, M. Hashem, 2005. "Estimation And Inference In Short Panel Vector Autoregressions With Unit Roots And Cointegration," Econometric Theory, Cambridge University Press, vol. 21(04), pages 795-837, August.
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    4. Frank Windmeijer, 2000. "A finite sample correction for the variance of linear two-step GMM estimators," IFS Working Papers W00/19, Institute for Fiscal Studies.
    5. Harris, Richard D. F. & Tzavalis, Elias, 1999. "Inference for unit roots in dynamic panels where the time dimension is fixed," Journal of Econometrics, Elsevier, vol. 91(2), pages 201-226, August.
    6. Blundell, Richard & Bond, Stephen, 1998. "Initial conditions and moment restrictions in dynamic panel data models," Journal of Econometrics, Elsevier, vol. 87(1), pages 115-143, August.
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    Cited by:

    1. Greß, Stefan & Tamm, Marcus & Tauchmann, Harald & Wasem, Jürgen, 2005. "Price Elasticities and Social Health Insurance Choice in Germany: A Dynamic Panel Data Approach," RWI Discussion Papers 28, RWI - Leibniz-Institut für Wirtschaftsforschung.
    2. Blandina Oliveira & Adelino Fortunato, 2006. "Testing Gibrat's Law: Empirical Evidence from a Panel of Portuguese Manufacturing Firms," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 13(1), pages 65-81.
    3. Arcand, Jean-Louis & Guillaumont, Patrick & Jeanneney, Sylviane Guillaumont, 2008. "Deforestation and the real exchange rate," Journal of Development Economics, Elsevier, vol. 86(2), pages 242-262, June.
    4. Fernandes, Ana M. & Isgut, Alberto E., 2005. "Learning-by-doing, learning-by-exporting, and productivity : evidence from Colombia," Policy Research Working Paper Series 3544, The World Bank.
    5. Florian Pelgrin & Arnaud Sylvain & Eric Heyer, 2003. "Durées d'utilisation des facteurs et fonction de production : une estimation par la méthode des moments généralisés en système," Working Papers hal-00972839, HAL.
    6. Paolo Epifani & Gino Gancia, 2005. "On Globalization and the Growth of Governments," Working Papers 267, Barcelona Graduate School of Economics.
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    8. Hugo Benítez-Silva & Debra S. Dwyer, 2003. "What to Expect when you are Expecting Rationality: Testing Rational Expectations using Micro Data," Working Papers wp037, University of Michigan, Michigan Retirement Research Center.
    9. Paolo Epifani & Gino Gancia, 2009. "Openness, Government Size and the Terms of Trade," Review of Economic Studies, Oxford University Press, vol. 76(2), pages 629-668.
    10. Peri, Giovanni & Urban, Dieter, 2006. "Catching-up to foreign technology? Evidence on the "Veblen-Gerschenkron" effect of foreign investments," Regional Science and Urban Economics, Elsevier, vol. 36(1), pages 72-98, January.
    11. Hugo Benítez-Silva & Debra Dwyer & Wayne-Roy Gayle & Thomas Muench, 2008. "Expectations in micro data: rationality revisited," Empirical Economics, Springer, vol. 34(2), pages 381-416, March.
    12. Marcus Tamm & Harald Tauchmann & Stefan Greß & Jürgen Wasem, 2005. "Price Elasticities and Social Health Insurance Choice in Germany: A Dynamic Panel Data Approach," RWI Discussion Papers 0028, Rheinisch-Westfälisches Institut für Wirtschaftsforschung.
    13. Sultan Mehmood, 2013. "Access to External Finance and Innovation: A Macroeconomic Perspective," CPB Discussion Paper 218, CPB Netherlands Bureau for Economic Policy Analysis.
    14. Lee, Chien-Chiang & Chiu, Yi-Bin, 2011. "Oil prices, nuclear energy consumption, and economic growth: New evidence using a heterogeneous panel analysis," Energy Policy, Elsevier, vol. 39(4), pages 2111-2120, April.
    15. Breitung, Jörg & Pesaran, Mohammad Hashem, 2005. "Unit roots and cointegration in panels," Discussion Paper Series 1: Economic Studies 2005,42, Deutsche Bundesbank.
    16. Eric Heyer & Florian Pelgrin & Arnaud Sylvain, 2004. "Capital Operating Time and Working Time in the Production Function: An Evaluation on a Panel of French Firms over the Period 1989-2001," Documents de Travail de l'OFCE 2004-09, Observatoire Francais des Conjonctures Economiques (OFCE).
    17. Marc Suhrcke & Dieter Urban, 2010. "Are cardiovascular diseases bad for economic growth?," Health Economics, John Wiley & Sons, Ltd., vol. 19(12), pages 1478-1496, December.
    18. Angelica Gonzalez, 2007. "Angelica Gonzalez," ESE Discussion Papers 168, Edinburgh School of Economics, University of Edinburgh.
    19. Benitez-Silva, Hugo & Dwyer, Debra S., 2006. "Expectation formation of older married couples and the rational expectations hypothesis," Labour Economics, Elsevier, vol. 13(2), pages 191-218, April.
    20. Islam, Muhammed N., 2015. "Economic growth, repression, and state expenditure in non-democratic regimes," European Journal of Political Economy, Elsevier, vol. 37(C), pages 68-85.
    21. Florian Pelgrin & Arnaud Sylvain & Eric Heyer, 2004. "Capital operating time and working time in the production function : an evaluation on a panel firms over the period 1989-2001," Working Papers hal-00972838, HAL.
    22. repec:spo:wpecon:info:hdl:2441/2042 is not listed on IDEAS
    23. Fagiolo, Giorgio & Santoni, Gianluca, 2015. "Human-mobility networks, country income, and labor productivity," Network Science, Cambridge University Press, vol. 3(03), pages 377-407, September.
    24. Angelica Gonzalez, 2007. "Empirical Likelihood: Improved Inference within Dynamic Panel Data Models," ESE Discussion Papers 154, Edinburgh School of Economics, University of Edinburgh.

    More about this item

    Keywords

    Generalised Method of Moments; Identification; Unit Root Tests;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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