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Panel Data Models With Interactive Fixed Effects

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  • Jushan Bai

Abstract

This paper considers large N and large T panel data models with unobservable multiple interactive effects, which are correlated with the regressors. In earnings studies, for example, workers' motivation, persistence, and diligence combined to influence the earnings in addition to the usual argument of innate ability. In macroeconomics, interactive effects represent unobservable common shocks and their heterogeneous impacts on cross sections. We consider identification, consistency, and the limiting distribution of the interactive-effects estimator. Under both large N and large T, the estimator is shown to be root(N T) consistent, which is valid in the presence of correlations and heteroskedasticities of unknown form in both dimensions. We also derive the constrained estimator and its limiting distribution, imposing additivity coupled with interactive effects. The problem of testing additive versus interactive effects is also studied. In addition, we consider identification and estimation of models in the presence of a grand mean, time-invariant regressors, and common regressors. Given identification, the rate of convergence and limiting results continue to hold. Copyright 2009 The Econometric Society.

Suggested Citation

  • Jushan Bai, 2009. "Panel Data Models With Interactive Fixed Effects," Econometrica, Econometric Society, vol. 77(4), pages 1229-1279, July.
  • Handle: RePEc:ecm:emetrp:v:77:y:2009:i:4:p:1229-1279
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    1. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    2. Costinot, Arnaud & Komunjer, Ivana, 2006. "What Goods Do Countries Trade? New Ricardian Predictions," University of California at San Diego, Economics Working Paper Series qt86n316hw, Department of Economics, UC San Diego.
    3. Andrei A. Levchenko, 2007. "Institutional Quality and International Trade," Review of Economic Studies, Oxford University Press, vol. 74(3), pages 791-819.
    4. Costinot, Arnaud, 2009. "On the origins of comparative advantage," Journal of International Economics, Elsevier, vol. 77(2), pages 255-264, April.
    5. Patrick Legros & Andrew F. Newman, 2002. "Monotone Matching in Perfect and Imperfect Worlds," Review of Economic Studies, Oxford University Press, vol. 69(4), pages 925-942.
    6. Davis, Donald R., 1995. "Intra-industry trade: A Heckscher-Ohlin-Ricardo approach," Journal of International Economics, Elsevier, vol. 39(3-4), pages 201-226, November.
    7. Nathan Nunn, 2007. "Relationship-Specificity, Incomplete Contracts, and the Pattern of Trade," The Quarterly Journal of Economics, Oxford University Press, vol. 122(2), pages 569-600.
    8. Daron Acemoglu, 1998. "Why Do New Technologies Complement Skills? Directed Technical Change and Wage Inequality," The Quarterly Journal of Economics, Oxford University Press, vol. 113(4), pages 1055-1089.
    9. Kiminori Matsuyama, 2005. "Credit Market Imperfections and Patterns of International Trade and Capital Flows," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 714-723, 04/05.
    10. Epple, Dennis & Romer, Thomas, 1991. "Mobility and Redistribution," Journal of Political Economy, University of Chicago Press, vol. 99(4), pages 828-858, August.
    11. Chor, Davin, 2010. "Unpacking sources of comparative advantage: A quantitative approach," Journal of International Economics, Elsevier, vol. 82(2), pages 152-167, November.
    12. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
    13. Banerjee, Abhijit V & Newman, Andrew F, 1993. "Occupational Choice and the Process of Development," Journal of Political Economy, University of Chicago Press, vol. 101(2), pages 274-298, April.
    14. Dornbusch, Rudiger & Fischer, Stanley & Samuelson, Paul A, 1977. "Comparative Advantage, Trade, and Payments in a Ricardian Model with a Continuum of Goods," American Economic Review, American Economic Association, vol. 67(5), pages 823-839, December.
    15. Pol Antras & Elhanan Helpman, 2004. "Global Sourcing," Journal of Political Economy, University of Chicago Press, vol. 112(3), pages 552-580, June.
    16. John Romalis, 2004. "Factor Proportions and the Structure of Commodity Trade," American Economic Review, American Economic Association, vol. 94(1), pages 67-97, March.
    17. Peter M. Morrow, 2008. "East is East and West is West: A Ricardian-Heckscher-Ohlin Model of Comparative Advantage," Working Papers 575, Research Seminar in International Economics, University of Michigan.
    18. Deardorff, Alan V, 1980. "The General Validity of the Law of Comparative Advantage," Journal of Political Economy, University of Chicago Press, vol. 88(5), pages 941-957, October.
    19. Daron Acemoglu & Jaume Ventura, 2002. "The World Income Distribution," The Quarterly Journal of Economics, Oxford University Press, vol. 117(2), pages 659-694.
    20. Franziska Ohnsorge & Daniel Trefler, 2004. "Sorting It Out: International Trade and Protection With Heterogeneous Workers," NBER Working Papers 10959, National Bureau of Economic Research, Inc.
    21. An, Mark Yuying, 1998. "Logconcavity versus Logconvexity: A Complete Characterization," Journal of Economic Theory, Elsevier, vol. 80(2), pages 350-369, June.
    22. Jones, Ronald W & Scheinkman, Jose A, 1977. "The Relevance of the Two-Sector Production Model in Trade Theory," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 909-935, October.
    23. Trefler, Daniel, 1993. "International Factor Price Differences: Leontief Was Right!," Journal of Political Economy, University of Chicago Press, vol. 101(6), pages 961-987, December.
    24. Matsuyama, Kiminori, 1996. "Why Are There Rich and Poor Countries? Symmetry-Breaking in the World Economy," Journal of the Japanese and International Economies, Elsevier, vol. 10(4), pages 419-439, December.
    25. Vogel, Jonathan, 2007. "Institutions and moral hazard in open economies," Journal of International Economics, Elsevier, vol. 71(2), pages 495-514, April.
    26. Susan Athey, 2002. "Monotone Comparative Statics under Uncertainty," The Quarterly Journal of Economics, Oxford University Press, vol. 117(1), pages 187-223.
    27. Karlin, Samuel & Rinott, Yosef, 1980. "Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions," Journal of Multivariate Analysis, Elsevier, vol. 10(4), pages 467-498, December.
    28. Ruffin, Roy J, 1988. "The Missing Link: The Ricardian Approach to the Factor Endowments Theory of Trade," American Economic Review, American Economic Association, vol. 78(4), pages 759-772, September.
    29. Ian Jewitt, 1987. "Risk Aversion and the Choice Between Risky Prospects: The Preservation of Comparative Statics Results," Review of Economic Studies, Oxford University Press, vol. 54(1), pages 73-85.
    30. repec:hrv:faseco:4784029 is not listed on IDEAS
    31. Ethier, Wilfred J., 1984. "Higher dimensional issues in trade theory," Handbook of International Economics,in: R. W. Jones & P. B. Kenen (ed.), Handbook of International Economics, edition 1, volume 1, chapter 3, pages 131-184 Elsevier.
    32. Paul R. Milgrom, 1981. "Good News and Bad News: Representation Theorems and Applications," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 380-391, Autumn.
    33. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-846, July-Aug..
    34. Yanagawa, Noriyuki, 1996. "Economic development in a world with many countries," Journal of Development Economics, Elsevier, vol. 49(2), pages 271-288, May.
    35. Luis Garicano & Esteban Rossi-Hansberg, 2006. "Organization and Inequality in a Knowledge Economy," The Quarterly Journal of Economics, Oxford University Press, vol. 121(4), pages 1383-1435.
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