IDEAS home Printed from https://ideas.repec.org/p/bai/series/series_wp_03-2019.html
   My bibliography  Save this paper

Estimation and Inference for Multi-dimensional Heterogeneous Panel Datasets with Hierarchical Multi-factor Error Structure

Author

Listed:
  • George Kapetanios

    (King’s College London)

  • Laura Serlenga

    (University of Bari "Aldo Moro")

  • Yongcheol Shin

    (University of York)

Abstract

Given the growing availability of large datasets and following recent research trends on multi-dimensional modelling, we develop three dimensional (3D) panel data models with hierarchical error components that allow for strong cross-sectional dependence through unobserved heterogeneous global and local factors. We propose consistent estimation procedures by extending the common correlated effects (CCE) estimation approach proposed by Pesaran (2006). The standard CCE approach needs to be modified in order to account for the hierarchical factor structure in 3D panels. Further, we provide the associated asymptotic theory, including new nonparametric variance estimators. The validity of the proposed approach is confirmed by Monte Carlo simulation studies. We also demonstrate the empirical usefulness of the proposed approach through an application to a 3D panel gravity model of bilateral export flows.

Suggested Citation

  • George Kapetanios & Laura Serlenga & Yongcheol Shin, 2019. "Estimation and Inference for Multi-dimensional Heterogeneous Panel Datasets with Hierarchical Multi-factor Error Structure," SERIES 03-2019, Dipartimento di Economia e Finanza - Università degli Studi di Bari "Aldo Moro", revised Jun 2019.
    • Handle: RePEc:bai:series:series_wp_03-2019
    as

    Download full text from publisher

    File URL: http://www.seriesworkingpapers.it/RePEc/bai/series/SERIES_WP_03-2019.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Baldwin, Richard & Taglioni, Daria, 2006. "Gravity for Dummies and Dummies for Gravity Equations," CEPR Discussion Papers 5850, C.E.P.R. Discussion Papers.
    2. Roberto Patuelli & Giuseppe Arbia (ed.), 2016. "Spatial Econometric Interaction Modelling," Advances in Spatial Science, Springer, number 978-3-319-30196-9, Fall.
    3. Natalia Bailey & George Kapetanios & M. Hashem Pesaran, 2016. "Exponent of Cross‐Sectional Dependence: Estimation and Inference," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(6), pages 929-960, September.
    4. M. Hashem Pesaran, 2006. "Estimation and Inference in Large Heterogeneous Panels with a Multifactor Error Structure," Econometrica, Econometric Society, vol. 74(4), pages 967-1012, July.
    5. Kristian Behrens & Cem Ertur & Wilfried Koch, 2012. "‘Dual’ Gravity: Using Spatial Econometrics To Control For Multilateral Resistance," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 27(5), pages 773-794, August.
    6. J.M.C. Santos Silva & Silvana Tenreyro, 2010. "Currency Unions in Prospect and Retrospect," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 51-74, September.
    7. Laszlo Balazsi & Laszlo Matyas & Tom Wansbeek, 2018. "The estimation of multidimensional fixed effects panel data models," Econometric Reviews, Taylor & Francis Journals, vol. 37(3), pages 212-227, March.
    8. 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.
    9. Hausman, Jerry A & Taylor, William E, 1981. "Panel Data and Unobservable Individual Effects," Econometrica, Econometric Society, vol. 49(6), pages 1377-1398, November.
    10. Daron Acemoglu & Vasco M. Carvalho & Asuman Ozdaglar & Alireza Tahbaz‐Salehi, 2012. "The Network Origins of Aggregate Fluctuations," Econometrica, Econometric Society, vol. 80(5), pages 1977-2016, September.
    11. Pesaran M.H. & Schuermann T. & Weiner S.M., 2004. "Modeling Regional Interdependencies Using a Global Error-Correcting Macroeconometric Model," Journal of Business & Economic Statistics, American Statistical Association, vol. 22, pages 129-162, April.
    12. Pesaran, M. Hashem & Smith, Ron, 1995. "Estimating long-run relationships from dynamic heterogeneous panels," Journal of Econometrics, Elsevier, vol. 68(1), pages 79-113, July.
    13. Caldeira, João F. & Moura, Guilherme V. & Santos, André A.P., 2016. "Bond portfolio optimization using dynamic factor models," Journal of Empirical Finance, Elsevier, vol. 37(C), pages 128-158.
    14. Guenter W. Beck & Kirstin Hubrich & Massimiliano Marcellino, 2016. "On the Importance of Sectoral and Regional Shocks for Price‐Setting," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(7), pages 1234-1253, November.
    15. Baier, Scott L. & Bergstrand, Jeffrey H., 2009. "Estimating the effects of free trade agreements on international trade flows using matching econometrics," Journal of International Economics, Elsevier, vol. 77(1), pages 63-76, February.
    16. Maria de Boyrie & Mordechai Kreinin, 2012. "Intra-Industry Trade Revisited: A Note," Open Economies Review, Springer, vol. 23(4), pages 741-745, September.
    17. Laszlo Matyas (ed.), 2017. "The Econometrics of Multi-dimensional Panels," Advanced Studies in Theoretical and Applied Econometrics, Springer, number 978-3-319-60783-2, July-Dece.
    18. Sergio Nardis & Claudio Vicarelli, 2003. "Currency unions and trade: The special case of EMU," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 139(4), pages 625-649, December.
    19. 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.
    20. M. Ayhan Kose & Christopher Otrok & Charles H. Whiteman, 2003. "International Business Cycles: World, Region, and Country-Specific Factors," American Economic Review, American Economic Association, vol. 93(4), pages 1216-1239, September.
    21. James R. Markusen & Keith E. Maskus, 2001. "A Unified Approach to Intra-Industry Trade and Direct Foreign Investment," NBER Working Papers 8335, National Bureau of Economic Research, Inc.
    22. In Choi & Dukpa Kim & Yun Jung Kim & Noh‐Sun Kwark, 2018. "A multilevel factor model: Identification, asymptotic theory and applications," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(3), pages 355-377, April.
    23. Baltagi, Badi H. & Egger, Peter & Pfaffermayr, Michael, 2003. "A generalized design for bilateral trade flow models," Economics Letters, Elsevier, vol. 80(3), pages 391-397, September.
    24. Baltagi, Badi H., 2015. "The Oxford Handbook of Panel Data," OUP Catalogue, Oxford University Press, number 9780199940042.
    25. Jeffrey A. Frankel, 2008. "The Estimated Effects of the Euro on Trade: Why Are They Below Historical Effects of Monetary Unions Among Smaller Countries?," NBER Working Papers 14542, National Bureau of Economic Research, Inc.
    26. M. Hashem Pesaran, 2015. "Testing Weak Cross-Sectional Dependence in Large Panels," Econometric Reviews, Taylor & Francis Journals, vol. 34(6-10), pages 1089-1117, December.
    27. James P. LeSage & Carlos Llano, 2016. "A Spatial Interaction Model with Spatially Structured Origin and Destination Effects," Advances in Spatial Science, in: Roberto Patuelli & Giuseppe Arbia (ed.), Spatial Econometric Interaction Modelling, chapter 0, pages 171-197, Springer.
    28. Shi, Wei & Lee, Lung-fei, 2017. "Spatial dynamic panel data models with interactive fixed effects," Journal of Econometrics, Elsevier, vol. 197(2), pages 323-347.
    29. Andrew K. Rose, 2001. "Currency unions and trade: the effect is large," Economic Policy, CEPR, CESifo, Sciences Po;CES;MSH, vol. 16(33), pages 449-461.
    30. Gianluca Cafiso, 2011. "Rose effect versus border effect: the Euro's impact on trade," Applied Economics, Taylor & Francis Journals, vol. 43(13), pages 1691-1702.
    31. Camilla Mastromarco & Laura Serlenga & Yongcheol Shin, 2016. "Multilateral Resistance and the Euro Effects on Trade Flows," Advances in Spatial Science, in: Roberto Patuelli & Giuseppe Arbia (ed.), Spatial Econometric Interaction Modelling, chapter 0, pages 253-278, Springer.
    32. Yongcheol Shin & Laura Serlenga, 2007. "Gravity models of intra-EU trade: application of the CCEP-HT estimation in heterogeneous panels with unobserved common time-specific factors," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 361-381.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Nicholas L. Brown & Peter Schmidt & Jeffrey M. Wooldridge, 2021. "Simple Alternatives to the Common Correlated Effects Model," Papers 2112.01486, arXiv.org.
    2. Guohua Feng & Jiti Gao & Bin Peng, 2022. "Multi-Level Panel Data Models: Estimation and Empirical Analysis," Monash Econometrics and Business Statistics Working Papers 4/22, Monash University, Department of Econometrics and Business Statistics.
    3. Hugo Freeman, 2022. "Multidimensional Interactive Fixed-Effects," Papers 2209.11691, arXiv.org, revised Mar 2023.
    4. Guohua Feng & Jiti Gao & Bin Peng, 2021. "Productivity Convergence in Manufacturing: A Hierarchical Panel Data Approach," Monash Econometrics and Business Statistics Working Papers 16/21, Monash University, Department of Econometrics and Business Statistics.
    5. Jiti Gao & Bin Peng & Yayi Yan, 2022. "Nonparametric Estimation and Testing for Time-Varying VAR Models," Monash Econometrics and Business Statistics Working Papers 3/22, Monash University, Department of Econometrics and Business Statistics.
    6. Yang, Yimin, 2022. "A correlated random effects approach to the estimation of models with multiple fixed effects," Economics Letters, Elsevier, vol. 213(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Jia Chen Author-Name-First: Jia & Yongcheol Shin & Chaowen Zheng, 2023. "Dynamic Quantile Panel Data Models with Interactive Effects," Economics Discussion Papers em-dp2023-06, Department of Economics, University of Reading.
    2. Güzin Bayar, 2018. "Estimating export equations: a survey of the literature," Empirical Economics, Springer, vol. 54(2), pages 629-672, March.
    3. Laura Serlenga & Yongcheol Shin, 2021. "Gravity models of interprovincial migration flows in Canada with hierarchical multifactor structure," Empirical Economics, Springer, vol. 60(1), pages 365-390, January.
    4. Rodolphe Desbordes & Markus Eberhardt, 2019. "Gravity," Discussion Papers 2019-02, University of Nottingham, GEP.
    5. Glick, Reuven & Rose, Andrew K., 2016. "Currency unions and trade: A post-EMU reassessment," European Economic Review, Elsevier, vol. 87(C), pages 78-91.
    6. Maria Cipollina & Luca De Benedictis & Luca Salvatici & Claudio Vicarelli, 2016. "Policy Measurement And Multilateral Resistance In Gravity Models," Working Papers LuissLab 16130, Dipartimento di Economia e Finanza, LUISS Guido Carli.
    7. A Salim, Ruhu & Mahfuz Kabir, Mohammad, 2011. "Does More Trade Potential Remain in Arab States of the Gulf ?," Journal of Economic Integration, Center for Economic Integration, Sejong University, vol. 26, pages 217-243.
    8. Jayjit Roy, 2014. "On the robustness of the trade-inducing effects of trade agreements and currency unions," Empirical Economics, Springer, vol. 47(1), pages 253-304, August.
    9. Zongo, Amara, 2020. "The Impact of Services Trade Restrictiveness on Food Trade," MPRA Paper 101658, University Library of Munich, Germany.
    10. Márquez-Ramos , Laura, 2016. "Regionalism, subnational variation and gravity: A four-country tale," INVESTIGACIONES REGIONALES - Journal of REGIONAL RESEARCH, Asociación Española de Ciencia Regional, issue 35, pages 7-36.
    11. Tomáš Havránek, 2010. "Rose effect and the euro: is the magic gone?," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 146(2), pages 241-261, June.
    12. Tamaş Anca, 2020. "Why should the gravity model be taught in business education?," Proceedings of the International Conference on Business Excellence, Sciendo, vol. 14(1), pages 422-433, July.
    13. Chen, Jia & Shin, Yongcheol & Zheng, Chaowen, 2022. "Estimation and inference in heterogeneous spatial panels with a multifactor error structure," Journal of Econometrics, Elsevier, vol. 229(1), pages 55-79.
    14. Maria Cipollina & Luca Salvatici, 2010. "Reciprocal Trade Agreements in Gravity Models: A Meta‐Analysis," Review of International Economics, Wiley Blackwell, vol. 18(1), pages 63-80, February.
    15. Samuel Standaert & Glenn Rayp, 2015. "Trade Integration And Trade Agreements:Resolving The Endogeneity Problem Through A Qualitative Var," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 15/912, Ghent University, Faculty of Economics and Business Administration.
    16. Christian Elleby & Wusheng Yu & Qian Yu, 2018. "The Chinese Export Displacement Effect Revisited," IFRO Working Paper 2018/02, University of Copenhagen, Department of Food and Resource Economics.
    17. Torfinn Harding & Anthony J Venables, 2016. "The Implications of Natural Resource Exports for Nonresource Trade," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 64(2), pages 268-302, June.
    18. Manuela Fritz, 2022. "Wave after wave: determining the temporal lag in Covid-19 infections and deaths using spatial panel data from Germany," Journal of Spatial Econometrics, Springer, vol. 3(1), pages 1-30, December.
    19. Cynthia Fan Yang, 2021. "Common factors and spatial dependence: an application to US house prices," Econometric Reviews, Taylor & Francis Journals, vol. 40(1), pages 14-50, January.
    20. Salvador Gil-Pareja & Rafael Llorca-Vivero & José Antonio Martínez-Serrano, 2017. "The effect of nonreciprocal preferential trade agreements on benefactors’ exports," Empirical Economics, Springer, vol. 52(1), pages 143-154, February.

    More about this item

    Keywords

    Multi-dimensional Panel Data Models; Cross-sectional Error Dependence; Unobserved Heterogeneous Global and Local Factors; Multilateral Resistance; The Gravity Model of Bilateral Export Flows;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models
    • F14 - International Economics - - Trade - - - Empirical Studies of Trade
    • F45 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Macroeconomic Issues of Monetary Unions

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bai:series:series_wp_03-2019. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Annalisa Vinella (email available below). General contact details of provider: https://edirc.repec.org/data/debarit.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.