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Time-invariant Regressors under Fixed Effects: Identification via a Proxy Variable

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  • Matej Belin

Abstract

Identification of a coefficient associated with a time-invariant regressor (TIR) often relies on the assumption that the TIR is uncorrelated with the unobserved heterogeneity across panel units. We derive an estimator which avoids the random-effects assumption by employing a proxy for the unobserved heterogeneity thus extending the existing results on proxy variables from the cross-sectional literature. In addition, we quantify the sensitivity of the estimates to potential violations of the random-effects assumption when no proxy is available. The utility of this approach is illustrated on the problem of implausibly high distance elasticity produced by gravity models of international trade.

Suggested Citation

  • Matej Belin, 2018. "Time-invariant Regressors under Fixed Effects: Identification via a Proxy Variable," CERGE-EI Working Papers wp624, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    • Handle: RePEc:cer:papers:wp624
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    1. Joseph G. Altonji & Todd E. Elder & Christopher R. Taber, 2005. "Selection on Observed and Unobserved Variables: Assessing the Effectiveness of Catholic Schools," Journal of Political Economy, University of Chicago Press, vol. 113(1), pages 151-184, February.
    2. Keith Head & Thierry Mayer, 2013. "What separates us? Sources of resistance to globalization," Canadian Journal of Economics, Canadian Economics Association, vol. 46(4), pages 1196-1231, November.
    3. Hausman, Jerry A & Taylor, William E, 1981. "Panel Data and Unobservable Individual Effects," Econometrica, Econometric Society, vol. 49(6), pages 1377-1398, November.
    4. Darren Lubotsky & Martin Wittenberg, 2006. "Interpretation of Regressions with Multiple Proxies," The Review of Economics and Statistics, MIT Press, vol. 88(3), pages 549-562, August.
    5. repec:hal:spmain:info:hdl:2441/443fbihfmj8h58a4ceedn30ogb is not listed on IDEAS
    6. Anne-Célia Disdier & Keith Head, 2008. "The Puzzling Persistence of the Distance Effect on Bilateral Trade," The Review of Economics and Statistics, MIT Press, vol. 90(1), pages 37-48, February.
    7. Andreas Lendle & Marcelo Olarreaga & Simon Schropp & Pierre‐Louis Vézina, 2016. "There Goes Gravity: eBay and the Death of Distance," Economic Journal, Royal Economic Society, vol. 126(591), pages 406-441, March.
    8. Zhuan Pei & Jörn-Steffen Pischke & Hannes Schwandt, 2019. "Poorly Measured Confounders are More Useful on the Left than on the Right," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 37(2), pages 205-216, April.
    9. Luigi Guiso & Paola Sapienza & Luigi Zingales, 2009. "Cultural Biases in Economic Exchange?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(3), pages 1095-1131.
    10. Swamy, P A V B & Arora, S S, 1972. "The Exact Finite Sample Properties of the Estimators of Coefficients in the Error Components Regression Models," Econometrica, Econometric Society, vol. 40(2), pages 261-275, March.
    11. Edward E. Leamer, 2007. "A Flat World, a Level Playing Field, a Small World After All, or None of the Above? A Review of Thomas L Friedman's The World is Flat," Journal of Economic Literature, American Economic Association, vol. 45(1), pages 83-126, March.
    12. David T Coe & Arvind Subramanian & Natalia T Tamirisa, 2007. "The Missing Globalization Puzzle: Evidence of the Declining Importance of Distance," IMF Staff Papers, Palgrave Macmillan, vol. 54(1), pages 34-58, May.
    13. Arthur Lewbel, 1997. "Constructing Instruments for Regressions with Measurement Error when no Additional Data are Available, with an Application to Patents and R&D," Econometrica, Econometric Society, vol. 65(5), pages 1201-1214, September.
    14. van Bergeijk,Peter A. G. & Brakman,Steven (ed.), 2010. "The Gravity Model in International Trade," Cambridge Books, Cambridge University Press, number 9780521196154.
    15. Blum, Bernardo S. & Goldfarb, Avi, 2006. "Does the internet defy the law of gravity?," Journal of International Economics, Elsevier, vol. 70(2), pages 384-405, December.
    16. Edward J. Balistreri & Russell H. Hillberry, 2006. "Trade frictions and welfare in the gravity model: how much of the iceberg melts?," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 39(1), pages 247-265, February.
    17. Bollinger Christopher R. & Minier Jenny, 2015. "On the Robustness of Coefficient Estimates to the Inclusion of Proxy Variables," Journal of Econometric Methods, De Gruyter, vol. 4(1), pages 1-22, January.
    18. Plümper, Thomas & Troeger, Vera E., 2011. "Fixed-Effects Vector Decomposition: Properties, Reliability, and Instruments," Political Analysis, Cambridge University Press, vol. 19(2), pages 147-164, April.
    19. Mundlak, Yair, 1978. "On the Pooling of Time Series and Cross Section Data," Econometrica, Econometric Society, vol. 46(1), pages 69-85, January.
    20. Gopinath, G. & Helpman, . & Rogoff, K. (ed.), 2014. "Handbook of International Economics," Handbook of International Economics, Elsevier, edition 1, volume 4, number 4.
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    More about this item

    Keywords

    identification; model specification; omitted variable bias; panel data; variable addition;
    All these keywords.

    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models

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