IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v79y2009i20p2189-2192.html
   My bibliography  Save this article

A note on the application of EC2SLS and EC3SLS estimators in panel data models

Author

Listed:
  • Baltagi, Badi H.
  • Liu, Long

Abstract

Baltagi and Li [Baltagi, B.H., Li, Q., 1992. A note on the estimation of simultaneous equations with error components. Econometric Theory 8, 113-119] showed that for estimating a single equation in a simultaneous panel data model, EC2SLS has more instruments than G2SLS. Although these extra instruments are redundant in White's [White, H., 1986. Instrumental variables analogs of generalized least squares estimators. In: Mariano, R.S. (Ed.), Advances in Statistical Analysis and Statistical Computing, vol. 1. JAI Press, New York, pp. 173-277] terminology, they may yield different estimates and standard errors in empirical studies with finite N and T. We illustrate this using the crime data of Cornwell and Trumbull [Cornwell, C., Trumbull, W.N., 1994. Estimating the economic model of crime with panel data. Review of Economics and Statistics 76, 360-366]. We show that the standard errors of EC2SLS are smaller than those of G2SLS for this example. In general, we prove that the asymptotic variance of G2SLS differs from that of EC2SLS by a positive semi-definite matrix. Although this difference tends to zero as the sample size tends to infinity, in small samples, this difference may be different from zero and can lead to gains in small sample efficiency. This proof is extended to the system equations' 3SLS counterparts.

Suggested Citation

  • Baltagi, Badi H. & Liu, Long, 2009. "A note on the application of EC2SLS and EC3SLS estimators in panel data models," Statistics & Probability Letters, Elsevier, vol. 79(20), pages 2189-2192, October.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:20:p:2189-2192
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(09)00267-3
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Balestra, Pietro & Varadharajan-Krishnakumar, Jayalakshmi, 1987. "Full Information Estimations of a System of Simultaneous Equations with Error Component Structure," Econometric Theory, Cambridge University Press, vol. 3(2), pages 223-246, April.
    2. Badi H. Baltagi, 2021. "Simultaneous Equations with Error Components," Springer Texts in Business and Economics, in: Econometric Analysis of Panel Data, edition 6, chapter 0, pages 157-186, Springer.
    3. Baltagi, Badi H. & Li, Qi, 1992. "A Note on the Estimation of Simultaneous Equations with Error Components," Econometric Theory, Cambridge University Press, vol. 8(1), pages 113-119, March.
    4. Badi H. Baltagi, 2006. "Estimating an economic model of crime using panel data from North Carolina," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(4), pages 543-547, May.
    5. Cornwell, Christopher & Trumbull, William N, 1994. "Estimating the Economic Model of Crime with Panel Data," The Review of Economics and Statistics, MIT Press, vol. 76(2), pages 360-366, May.
    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. Ferguson, Neil T.N. & Michaelsen, Maren M., 2015. "Money changes everything? Education and regional deprivation revisited," Economics of Education Review, Elsevier, vol. 48(C), pages 129-147.
    2. Klaus Gründler & Niklas Potrafke, 2020. "Fiscal Rules: Historical, Modern, and Sub-National Growth Effects," CESifo Working Paper Series 8305, CESifo.
    3. Ferguson, Neil T. N. & Michaelsen, Maren M., 2013. "The Legacy of Conflict – Regional Deprivation and School Performance in Northern Ireland," Ruhr Economic Papers 419, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    4. Amri, Fethi, 2016. "The relationship amongst energy consumption, foreign direct investment and output in developed and developing Countries," Renewable and Sustainable Energy Reviews, Elsevier, vol. 64(C), pages 694-702.
    5. Nitish Jain & Karan Girotra & Serguei Netessine, 2014. "Managing Global Sourcing: Inventory Performance," Management Science, INFORMS, vol. 60(5), pages 1202-1222, May.
    6. Álvarez, Inmaculada C. & Barbero, Javier & Zofío, José L., 2017. "A Panel Data Toolbox for MATLAB," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 76(i06).
    7. Baltagi, Badi H. & Liu, Long, 2011. "Instrumental variable estimation of a spatial autoregressive panel model with random effects," Economics Letters, Elsevier, vol. 111(2), pages 135-137, May.
    8. Abou-Ali, Hala & Abdelfattah, Yasmine M., 2013. "Integrated paradigm for sustainable development: A panel data study," Economic Modelling, Elsevier, vol. 30(C), pages 334-342.
    9. Tani, Massimiliano, 2017. "Local signals and the returns to foreign education," Economics of Education Review, Elsevier, vol. 61(C), pages 174-190.
    10. Neil T.N. Ferguson & Maren M. Michaelsen, 2013. "The Legacy of Conflict – Regional Deprivation and School Performance in Northern Ireland," Ruhr Economic Papers 0419, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    11. Mario Holzner, 2010. "Inequality, Growth and Public Spending in Central, East and Southeast Europe," wiiw Working Papers 71, The Vienna Institute for International Economic Studies, wiiw.
    12. Gnangnon, Sèna Kimm, 2020. "Internet and tax reform in developing countries," Information Economics and Policy, Elsevier, vol. 51(C).
    13. Elliott, Robert J.R. & Sun, Puyang & Chen, Siyang, 2013. "Energy intensity and foreign direct investment: A Chinese city-level study," Energy Economics, Elsevier, vol. 40(C), pages 484-494.
    14. Wencong Lu & Ikboljon Kasimov & Ibrokhim Karimov & Yakhyobek Abdullaev, 2020. "Foreign Direct Investment, Natural Resources, Economic Freedom, and Sea-Access: Evidence from the Commonwealth of Independent States," Sustainability, MDPI, vol. 12(8), pages 1-18, April.
    15. Martínez, Yolanda Ubago & Arzoz, Pedro Pascual & Arregui, Idoia Zabaleta, 2022. "Tax collection efficiency in OECD countries improves via decentralization, simplification, digitalization and education," Journal of Policy Modeling, Elsevier, vol. 44(2), pages 298-318.
    16. repec:zbw:rwirep:0419 is not listed on IDEAS
    17. Paulo Henrique Hoeckel & Augusto Mussi Alvim & José Pedro Pontes & João Dias, 2023. "The Ethanol Market and Its Relation to the Price of Agricultural Commodities," Energies, MDPI, vol. 16(6), pages 1-18, March.
    18. Han, Chirok, 2016. "Efficiency comparison of random effects two stage least squares estimators," Economics Letters, Elsevier, vol. 148(C), pages 59-62.
    19. cyrine hannafi & Christophe Muller, 2016. "The Poverty-Economic Growth-Health Triangle," EcoMod2016 9587, EcoMod.
    20. Sena Kimm Gnangnon, 2018. "Impact of development aid on remittances sent from donor-countries," Remittances Review, Remittances Review, vol. 3(2), pages 109-134, October.
    21. Shi, Miaoying & Yin, Runsheng & Lv, Hongdi, 2017. "An empirical analysis of the driving forces of forest cover change in northeast China," Forest Policy and Economics, Elsevier, vol. 78(C), pages 78-87.

    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. Han, Chirok, 2016. "Efficiency comparison of random effects two stage least squares estimators," Economics Letters, Elsevier, vol. 148(C), pages 59-62.
    2. de Bandt, O. & Bruneau, C. & El Amri, W., 2008. "Stress testing and corporate finance," Journal of Financial Stability, Elsevier, vol. 4(3), pages 258-274, September.
    3. AMBA OYON, Claude Marius & Mbratana, Taoufiki, 2017. "Simultaneous equation models with spatially autocorrelated error components," MPRA Paper 82395, University Library of Munich, Germany.
    4. Hitzhusen, Frederick J. & Jeanty, Pierre Wilner, 2006. "Analyzing the Effects of Conflicts on Food Security in Developing Countries: An Instrumental Variable Panel Data Approach," 2006 Annual meeting, July 23-26, Long Beach, CA 21483, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    5. Lina Lu, 2017. "Simultaneous Spatial Panel Data Models with Common Shocks," Supervisory Research and Analysis Working Papers RPA 17-3, Federal Reserve Bank of Boston.
    6. Mojtaba Ghasemi, 2017. "Crime and punishment: evidence from dynamic panel data model for North Carolina (2003–2012)," Empirical Economics, Springer, vol. 52(2), pages 723-730, March.
    7. Horst Entorf & Hannes Spengler, 2015. "Crime, prosecutors, and the certainty of conviction," European Journal of Law and Economics, Springer, vol. 39(1), pages 167-201, February.
    8. Ferguson, Neil T.N. & Michaelsen, Maren M., 2015. "Money changes everything? Education and regional deprivation revisited," Economics of Education Review, Elsevier, vol. 48(C), pages 129-147.
    9. Ferguson, Neil T. N. & Michaelsen, Maren M., 2013. "The Legacy of Conflict – Regional Deprivation and School Performance in Northern Ireland," Ruhr Economic Papers 419, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    10. Chen, Jing & Yue, Rongxian & Wu, Jianhong, 2020. "Testing for individual and time effects in the two-way error component model with time-invariant regressors," Economic Modelling, Elsevier, vol. 92(C), pages 216-229.
    11. Alessandro Moro, 2017. "Distribution dynamics of property crime rates in the United States," Urban Studies, Urban Studies Journal Limited, vol. 54(11), pages 2613-2630, August.
    12. Cerro, Ana María & Rodríguez Andrés, Antonio, 2011. "Typologies of Crime in the Argentine Provinces. A Panel Study 2000-2008," MPRA Paper 44460, University Library of Munich, Germany.
    13. Laura Magazzini & Fabio Pammolli & Nicola Carmine Salerno, 2006. "La spesa farmaceutica pubblica - Analisi degli ultimi anni e indicazioni per una nuova politica economica," Working Papers CERM 03-2006, Competitività, Regole, Mercati (CERM).
    14. Lauridsen, Jorgen, 2010. "Is Polish Crime Economically Rational?," Journal of Regional Analysis and Policy, Mid-Continent Regional Science Association, vol. 40(2), pages 1-7.
    15. Oprica, Silviu & Weistroffer, Christian, 2019. "Institutional presence in secondary bank bond markets: how does it affect liquidity and volatility?," Working Paper Series 2276, European Central Bank.
    16. Badi H. Baltagi, 2006. "Estimating an economic model of crime using panel data from North Carolina," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(4), pages 543-547.
    17. Jesús Crespo Cuaresma & Julia Wörz, 2005. "On Export Composition and Growth," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 141(1), pages 33-49, April.
    18. Trapani, Lorenzo & Urga, Giovanni, 2009. "Optimal forecasting with heterogeneous panels: A Monte Carlo study," International Journal of Forecasting, Elsevier, vol. 25(3), pages 567-586, July.
    19. Nigel Driffield & Vidya Mahambare & Sarmistha Pal, 2005. "How Ownership Structure Affects Capital Structure and Firm Performance? Recent Evidence from East Asia," Finance 0509028, University Library of Munich, Germany.
    20. Kazuhiko Hayakawa & M. Hashem Pesaran & L. Vanessa Smith, 2023. "Short T dynamic panel data models with individual, time and interactive effects," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 38(6), pages 940-967, September.

    More about this item

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General

    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:eee:stapro:v:79:y:2009:i:20:p:2189-2192. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    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.