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Inference on Time-Invariant Variables using Panel Data: A Pre-Test Estimator with an Application to the Returns to Schooling

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Listed:
  • Jean-Bernard Chatelain

    () (CES - Centre d'économie de la Sorbonne - CNRS - Centre National de la Recherche Scientifique - UP1 - Université Panthéon-Sorbonne)

  • Kirsten Ralf

    () (PSE - Paris-Jourdan Sciences Economiques - ENS Paris - École normale supérieure - Paris - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique)

Abstract

This paper proposes a new pre-test estimator of panel data models including time invariant variables based upon the Mundlak-Krishnakumar estimator and an "unrestricted" Hausman-Taylor estimator. The paper evaluates the biases of currently used restricted estimators, omitting the average-over-time of at least one endogenous time-varying explanatory variable. Repeated Between, Ordinary Least Squares, Two stage restricted Between and Oaxaca-Geisler estimator, Fixed Effect Vector Decomposition, Generalized least squares may lead to wrong conclusions regarding the statistical significance of the estimated parameter values of time-invariant variables.

Suggested Citation

  • Jean-Bernard Chatelain & Kirsten Ralf, 2010. "Inference on Time-Invariant Variables using Panel Data: A Pre-Test Estimator with an Application to the Returns to Schooling," PSE Working Papers hal-00492039, HAL.
  • Handle: RePEc:hal:psewpa:hal-00492039
    Note: View the original document on HAL open archive server: https://hal-paris1.archives-ouvertes.fr/hal-00492039
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    References listed on IDEAS

    as
    1. Oaxaca, Ronald L. & Geisler, Iris, 2003. "Fixed effects models with time invariant variables: a theoretical note," Economics Letters, Elsevier, vol. 80(3), pages 373-377, September.
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    5. Baltagi, Badi H. & Bresson, Georges & Pirotte, Alain, 2003. "Fixed effects, random effects or Hausman-Taylor?: A pretest estimator," Economics Letters, Elsevier, vol. 79(3), pages 361-369, June.
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    7. Breusch, Trevor & Ward, Michael B. & Nguyen, Hoa Thi Minh & Kompas, Tom, 2011. "On the Fixed-Effects Vector Decomposition," Political Analysis, Cambridge University Press, vol. 19(02), pages 123-134, March.
    8. repec:zbw:rwirep:0083 is not listed on IDEAS
    9. Plümper, Thomas & Troeger, Vera E., 2007. "Efficient Estimation of Time-Invariant and Rarely Changing Variables in Finite Sample Panel Analyses with Unit Fixed Effects," Political Analysis, Cambridge University Press, vol. 15(02), pages 124-139, March.
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    11. Mitze, Timo, 2009. "Endogeneity in Panel Data Models with Time-Varying and Time-Fixed Regressors: To IV or not IV?," Ruhr Economic Papers 83, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    12. Swamy, P A V B & Arora, S S, 1972. "The Exact Finite Sample Properties of the Estimators of Coefficients in the Error Components Regression Models," Econometrica, Econometric Society, vol. 40(2), pages 261-275, March.
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    14. Mundlak, Yair, 1978. "On the Pooling of Time Series and Cross Section Data," Econometrica, Econometric Society, vol. 46(1), pages 69-85, January.
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    Cited by:

    1. Farla, Kristine, 2012. "Institutions and credit," MERIT Working Papers 038, United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT).
    2. Chatelain, Jean-Bernard & Ralf, Kirsten, 2014. "Spurious regressions and near-multicollinearity, with an application to aid, policies and growth," EconStor Open Access Articles, ZBW - German National Library of Economics, pages 85-96.
    3. Varvara Isyuk, 2014. "Resuming bank lending in the aftermath of the Capital Purchase Program," Documents de travail du Centre d'Economie de la Sorbonne 14062, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    4. Varvara Isyuk, 2014. "Resuming bank lending in the aftermath of the Capital Purchase Program," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01093414, HAL.
    5. Mintewab Bezabih & Salvatore Di Falco & Alemu Mekonnen, 2014. "Is it the climate or the weather? Differential economic impacts of climatic factors in Ethiopia," GRI Working Papers 148, Grantham Research Institute on Climate Change and the Environment.
    6. Jean-Bernard Chatelain & Kirsten Ralf, 2018. "Inference on time-invariant variables using panel data: a pretest estimator," PSE Working Papers halshs-01719835, HAL.

    More about this item

    Keywords

    Time-Series Cross-Sections; Panel data; Time-Invariant Variables; Pre-Test Estimator; Mundlak Estimator; Fixed Effects Vector Decomposition;

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