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Two-stage instrumental variable estimation of linear panel data models with interactive effects
[Eigenvalue ratio test for the number of factors]

Author

Listed:
  • Guowei Cui
  • Milda NorkutÄ—
  • Vasilis Sarafidis
  • Takashi Yamagata

Abstract

SummaryThis paper analyses the instrumental variables (IV) approach put forward by Norkute et al. (2021), in the context of static linear panel data models with interactive effects present in the error term and the regressors. Instruments are obtained from transformed regressors, thereby it is not necessary to search for external instruments. We consider a two-stage IV (2SIV) and a mean-group IV (MGIV) estimator for homogeneous and heterogeneous slope models, respectively. The asymptotic analysis reveals that: (i) the -consistent 2SIV estimator is free from asymptotic bias that may arise due to the estimation error of the interactive effects, while (ii) existing estimators can suffer from asymptotic bias; (iii) the proposed 2SIV estimator is asymptotically as efficient as existing estimators that eliminate interactive effects jointly in the regressors and the error, while (iv) the relative efficiency of the estimators that eliminate interactive effects only in the error term is indeterminate. A Monte Carlo study confirms good approximation quality of our asymptotic results.

Suggested Citation

  • Guowei Cui & Milda NorkutÄ— & Vasilis Sarafidis & Takashi Yamagata, 2022. "Two-stage instrumental variable estimation of linear panel data models with interactive effects [Eigenvalue ratio test for the number of factors]," The Econometrics Journal, Royal Economic Society, vol. 25(2), pages 340-361.
    • Handle: RePEc:oup:emjrnl:v:25:y:2022:i:2:p:340-361.
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    2. Wen, Jun & Zhao, Xin-Xin & Fu, Qiang & Chang, Chun-Ping, 2023. "The impact of extreme weather events on green innovation: Which ones bring to the most harm?," Technological Forecasting and Social Change, Elsevier, vol. 188(C).
    3. Sebastian Kripfganz & Vasilis Sarafidis, 2021. "Instrumental-variable estimation of large-T panel-data models with common factors," Stata Journal, StataCorp LP, vol. 21(3), pages 659-686, September.
    4. Guowei Cui & Vasilis Sarafidis & Takashi Yamagata, 2020. "IV Estimation of Spatial Dynamic Panels with Interactive Effects: Large Sample Theory and an Application on Bank Attitude," Monash Econometrics and Business Statistics Working Papers 11/20, Monash University, Department of Econometrics and Business Statistics.
    5. 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.
    6. De Vos, Ignace & Everaert, Gerdie & Sarafidis, Vasilis, 2021. "A method for evaluating the rank condition for CCE estimators," MPRA Paper 112305, University Library of Munich, Germany, revised 09 Mar 2022.
    7. Guowei Cui & Vasilis Sarafidis & Takashi Yamagata, 2023. "IV estimation of spatial dynamic panels with interactive effects: large sample theory and an application on bank attitude towards risk," The Econometrics Journal, Royal Economic Society, vol. 26(2), pages 124-146.
    8. Mary, Sebastien J. & Stoler, Avraham & Shafiq, Sarah & Craven, Kyle, 2023. "Dams of Malaria," 2023 Annual Meeting, July 23-25, Washington D.C. 335448, Agricultural and Applied Economics Association.
    9. Guowei Cui & Milda NorkutÄ— & Vasilis Sarafidis & Takashi Yamagata, 2022. "Two-stage instrumental variable estimation of linear panel data models with interactive effects [Eigenvalue ratio test for the number of factors]," The Econometrics Journal, Royal Economic Society, vol. 25(2), pages 340-361.
    10. Ben Cheikh, Nidhaleddine & Ben Zaied, Younes & Nguyen, Duc Khuong, 2023. "Understanding energy poverty drivers in Europe," Energy Policy, Elsevier, vol. 183(C).
    11. Agoraki, Maria-Eleni & Aslanidis, Nektarios & Kouretas, Georgios P., 2021. "U.S. Banks’ lending behaviour, financial stability, and investor sentiment: A textual analysis," Working Papers 2072/534915, Universitat Rovira i Virgili, Department of Economics.
    12. Zhenhao Gong & Min Seong Kim, 2024. "Improved Inference for Interactive Fixed Effects Model under Cross-Sectional Dependence," Working papers 2024-02, University of Connecticut, Department of Economics.
    13. Okere, Kingsley Ikechukwu & Dimnwobi, Stephen Kelechi & Ekesiobi, Chukwunonso & Onuoha, Favour Chidinma, 2023. "Turning the tide on energy poverty in sub-Saharan Africa: Does public debt matter?," Energy, Elsevier, vol. 282(C).

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    More about this item

    Keywords

    Large panel data; interactive effects; common factors; principal components analysis; instrumental variables;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C26 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Instrumental Variables (IV) Estimation

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