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A Note on the Application of EC2SLS and EC3SLS Estimators in Panel Data Models

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Abstract

Baltagi and Li (1992) 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 (1986) terminology, they may yield different estimates and standard errors in empirical studies with finite N and T. We illustrte this using the crime data of Cornwell and Trumbull (1994). 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

  • Badi H. Baltagi & Long Liu, 2009. "A Note on the Application of EC2SLS and EC3SLS Estimators in Panel Data Models," Center for Policy Research Working Papers 116, Center for Policy Research, Maxwell School, Syracuse University.
  • Handle: RePEc:max:cprwps:116
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    1. 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.
    2. Baltagi, Badi H., 1981. "Simultaneous equations with error components," Journal of Econometrics, Elsevier, vol. 17(2), pages 189-200, November.
    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(01), pages 113-119, March.
    4. 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.
    5. 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(02), pages 223-246, April.
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    Cited by:

    1. 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.
    2. 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.
    3. 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.
    4. cyrine hannafi & Christophe Muller, 2016. "The Poverty-Economic Growth-Health Triangle," EcoMod2016 9587, EcoMod.
    5. 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.
    6. 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.
    7. Han, Chirok, 2016. "Efficiency comparison of random effects two stage least squares estimators," Economics Letters, Elsevier, vol. 148(C), pages 59-62.
    8. repec:jss:jstsof:v:076:i06 is not listed on IDEAS
    9. 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.
    10. 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).
    11. 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.

    More about this item

    Keywords

    Instrument variable; panel data;

    JEL classification:

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

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