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Two-way models for gravity

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  • Koen Jochmans

    (ECON - Département d'économie (Sciences Po) - Sciences Po - Sciences Po - CNRS - Centre National de la Recherche Scientifique)

Abstract

Empirical models for panel data frequently feature fixed effects in both directions of the panel. Settings where this is prevalent include student-teacher interaction, the allocation of workers to firms, and the import-export flows between countries. Estimation of such fixed-effect models is difficult. We derive moment conditions for models with multiplicative unobservables and fixed effects and use them to set up generalized method of moments estimators that have good statistical properties. We estimate a gravity equation with multilateral resistance terms as an application of our methods.

Suggested Citation

  • Koen Jochmans, 2015. "Two-way models for gravity," SciencePo Working papers Main hal-01114776, HAL.
    • Handle: RePEc:hal:spmain:hal-01114776
    Note: View the original document on HAL open archive server: https://sciencespo.hal.science/hal-01114776
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    1. Fernández-Val, Iván & Weidner, Martin, 2016. "Individual and time effects in nonlinear panel models with large N, T," Journal of Econometrics, Elsevier, vol. 192(1), pages 291-312.
    2. William Greene, 2004. "The behaviour of the maximum likelihood estimator of limited dependent variable models in the presence of fixed effects," Econometrics Journal, Royal Economic Society, vol. 7(1), pages 98-119, June.
    3. Iván Fernández‐Val & Joonhwah Lee, 2013. "Panel data models with nonadditive unobserved heterogeneity: Estimation and inference," Quantitative Economics, Econometric Society, vol. 4(3), pages 453-481, November.
    4. Hausman, Jerry & Hall, Bronwyn H & Griliches, Zvi, 1984. "Econometric Models for Count Data with an Application to the Patents-R&D Relationship," Econometrica, Econometric Society, vol. 52(4), pages 909-938, July.
    5. Wooldridge, Jeffrey M., 1997. "Multiplicative Panel Data Models Without the Strict Exogeneity Assumption," Econometric Theory, Cambridge University Press, vol. 13(5), pages 667-678, October.
    6. Jinyong Hahn & Whitney Newey, 2004. "Jackknife and Analytical Bias Reduction for Nonlinear Panel Models," Econometrica, Econometric Society, vol. 72(4), pages 1295-1319, July.
    7. Elhanan Helpman & Marc Melitz & Yona Rubinstein, 2008. "Estimating Trade Flows: Trading Partners and Trading Volumes," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(2), pages 441-487.
    8. M. J. Andrews & L. Gill & T. Schank & R. Upward, 2008. "High wage workers and low wage firms: negative assortative matching or limited mobility bias?," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 171(3), pages 673-697, June.
    9. James J. Heckman & Thomas E. Macurdy, 1980. "A Life Cycle Model of Female Labour Supply," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(1), pages 47-74.
    10. Thomas Chaney, 2008. "Distorted Gravity: The Intensive and Extensive Margins of International Trade," American Economic Review, American Economic Association, vol. 98(4), pages 1707-1721, September.
    11. James E. Anderson & Eric van Wincoop, 2003. "Gravity with Gravitas: A Solution to the Border Puzzle," American Economic Review, American Economic Association, vol. 93(1), pages 170-192, March.
    12. Guimaraes, Paulo & Portugal, Pedro, 2009. "A Simple Feasible Alternative Procedure to Estimate Models with High-Dimensional Fixed Effects," IZA Discussion Papers 3935, Institute of Labor Economics (IZA).
    13. Donald, Stephen G. & Imbens, Guido W. & Newey, Whitney K., 2003. "Empirical likelihood estimation and consistent tests with conditional moment restrictions," Journal of Econometrics, Elsevier, vol. 117(1), pages 55-93, November.
    14. Thomas Chaney, 2008. "Distorted Gravity: The Intensive and Extensive Margins of International Trade," American Economic Review, American Economic Association, vol. 98(4), pages 1707-1721, September.
    15. Manning, Willard G. & Mullahy, John, 2001. "Estimating log models: to transform or not to transform?," Journal of Health Economics, Elsevier, vol. 20(4), pages 461-494, July.
    16. Daniel Aaronson & Lisa Barrow & William Sander, 2007. "Teachers and Student Achievement in the Chicago Public High Schools," Journal of Labor Economics, University of Chicago Press, vol. 25(1), pages 95-135.
    17. repec:hal:wpspec:info:hdl:2441/3vl5fe4i569nbr005tctlc8ll5 is not listed on IDEAS
    18. repec:hal:spmain:info:hdl:2441/eu4vqp9ompqllr09ij4j0h0h1 is not listed on IDEAS
    19. Gary Chamberlain, 1980. "Analysis of Covariance with Qualitative Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(1), pages 225-238.
    20. repec:hal:spmain:info:hdl:2441/eu4vqp9ompqllr09j0031f620 is not listed on IDEAS
    21. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Applications to Poisson Models," Econometrica, Econometric Society, vol. 52(3), pages 701-720, May.
    22. Chamberlain, Gary, 1987. "Asymptotic efficiency in estimation with conditional moment restrictions," Journal of Econometrics, Elsevier, vol. 34(3), pages 305-334, March.
    23. 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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    Cited by:

    1. Luis E. Candelaria, 2020. "A Semiparametric Network Formation Model with Unobserved Linear Heterogeneity," Papers 2007.05403, arXiv.org, revised Aug 2020.
    2. Candelaria, Luis E., 2020. "A Semiparametric Network Formation Model with Unobserved Linear Heterogeneity," The Warwick Economics Research Paper Series (TWERPS) 1279, University of Warwick, Department of Economics.
    3. Martin,William J., 2020. "Making Gravity Great Again," Policy Research Working Paper Series 9391, The World Bank.
    4. Jules Hugot & Camilo Umana Dajud, 2016. "Trade costs and the Suez and Panama Canals," Working Papers 2016-29, CEPII research center.
    5. Giorgio Fagiolo & Tommaso Rughi, 2023. "Exploring the Macroeconomic Drivers of International Bilateral Remittance Flows: A Gravity-Model Approach," Economies, MDPI, vol. 11(7), pages 1-27, July.
    6. Douadia Bougherara & Laurent Piet, 2018. "On the role of probability weighting on WTP for crop insurance with and without yield skewness," Working Papers hal-02790605, HAL.
    7. Weidner, Martin & Zylkin, Thomas, 2021. "Bias and consistency in three-way gravity models," Journal of International Economics, Elsevier, vol. 132(C).
    8. Lockwood, Ben & Porcelli, Francesco & Redoano, Michela & Schiavone, Antonio, 2022. "Yardstick Competition in the Digital Age : Unveiling New Networks in Tax Competition," The Warwick Economics Research Paper Series (TWERPS) 1438, University of Warwick, Department of Economics.
    9. Koen Jochmans & Vincenzo Verardi, 2022. "Instrumental‐variable estimation of exponential‐regression models with two‐way fixed effects with an application to gravity equations," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 37(6), pages 1121-1137, September.
    10. Jochmans, Koen, 2022. "Bias in instrumental-variable estimators of fixed-effect models for count data," Economics Letters, Elsevier, vol. 212(C).
    11. Juodis, Artūras & Sarafidis, Vasilis, 2022. "An incidental parameters free inference approach for panels with common shocks," Journal of Econometrics, Elsevier, vol. 229(1), pages 19-54.
    12. Mario Larch & Yoto V. Yotov, 2024. "Estimating the effects of trade agreements: Lessons from 60 years of methods and data," The World Economy, Wiley Blackwell, vol. 47(5), pages 1771-1799, May.
    13. Jochmans, K. & Verardi, V., 2019. "twexp and twgravity: Estimating exponential regression models with two-way fixed effects," Cambridge Working Papers in Economics 1945, Faculty of Economics, University of Cambridge.
    14. Pfaffermayr, Michael, 2020. "Constrained Poisson pseudo maximum likelihood estimation of structural gravity models," International Economics, Elsevier, vol. 161(C), pages 188-198.
    15. Ohyun Kwon & Jangsu Yoon & Yoto V. Yotov, 2022. "A Generalized Poisson-Pseudo Maximum Likelihood Estimator," CESifo Working Paper Series 10145, CESifo.
    16. Chen, Mingli & Fernández-Val, Iván & Weidner, Martin, 2021. "Nonlinear factor models for network and panel data," Journal of Econometrics, Elsevier, vol. 220(2), pages 296-324.
    17. Hugo Rojas-Romagosa & Johannes Bollen, 2018. "Estimating migration changes from the EU’s free movement of people principle," CPB Discussion Paper 385, CPB Netherlands Bureau for Economic Policy Analysis.
    18. Carter, Colin A. & Steinbach, Sandro & Zhuang, Xiting, 2022. "Global Container Trade Disruptions and U.S. Agricultural Exports," 2022 Annual Meeting, July 31-August 2, Anaheim, California 322364, Agricultural and Applied Economics Association.
    19. Hugo Rojas-Romagosa & Johannes Bollen, 2018. "Estimating migration changes from the EU’s free movement of people principle," CPB Discussion Paper 385.rdf, CPB Netherlands Bureau for Economic Policy Analysis.
    20. Pfaffermayr, Michael, 2021. "Confidence intervals for the trade cost parameters of cross-section gravity models," Economics Letters, Elsevier, vol. 201(C).
    21. J. M. C. Santos Silva & Silvana Tenreyro, 2022. "The Log of Gravity at 15," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 21(3), pages 423-437, September.
    22. Choi Nakgyoon, 2018. "Economic Effects of Anti-Dumping Duties: Protectionist Measures or Trade Remedies?," Working Papers id:12447, eSocialSciences.
    23. Camilo Umana Dajud, 2016. "Do Visas Hinder International Trade in Goods?," Working Papers 2016-30, CEPII research center.
    24. Jochmans, K. & Verardi, V., 2019. "Instrumental-Variable Estimation of Gravity Equations," Cambridge Working Papers in Economics 1994, Faculty of Economics, University of Cambridge.
    25. Carter, Colin A. & Steinbach, Sandro & Zhuang, Xiting, 2022. "Global Shipping Container Disruptions and U.S. Agricultural Exports," Working Papers 320397, International Agricultural Trade Research Consortium.

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