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Explaining Fixed Effects: Random Effects Modeling of Time-Series Cross-Sectional and Panel Data

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  • Bell, Andrew
  • Jones, Kelvyn

Abstract

This article challenges Fixed Effects (FE) modeling as the ‘default’ for time-series-cross-sectional and panel data. Understanding different within and between effects is crucial when choosing modeling strategies. The downside of Random Effects (RE) modeling—correlated lower-level covariates and higher-level residuals—is omitted-variable bias, solvable with Mundlak's (1978a) formulation. Consequently, RE can provide everything that FE promises and more, as confirmed by Monte-Carlo simulations, which additionally show problems with Plümper and Troeger's FE Vector Decomposition method when data are unbalanced. As well as incorporating time-invariant variables, RE models are readily extendable, with random coefficients, cross-level interactions and complex variance functions. We argue not simply for technical solutions to endogeneity, but for the substantive importance of context/heterogeneity, modeled using RE. The implications extend beyond political science to all multilevel datasets. However, omitted variables could still bias estimated higher-level variable effects; as with any model, care is required in interpretation.

Suggested Citation

  • Bell, Andrew & Jones, Kelvyn, 2015. "Explaining Fixed Effects: Random Effects Modeling of Time-Series Cross-Sectional and Panel Data," Political Science Research and Methods, Cambridge University Press, vol. 3(1), pages 133-153, January.
    • Handle: RePEc:cup:pscirm:v:3:y:2015:i:01:p:133-153_00
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    1. 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.
    2. Leigh Burstein & Robert L. Linn & Frank J. Capell, 1978. "Analyzing Multilevel Data in the Presence of Heterogeneous Within-Class Regressions," Journal of Educational and Behavioral Statistics, , vol. 3(4), pages 347-383, December.
    3. Beck, Nathaniel & Katz, Jonathan N., 1995. "What To Do (and Not to Do) with Time-Series Cross-Section Data," American Political Science Review, Cambridge University Press, vol. 89(3), pages 634-647, September.
    4. Schurer, S. & Yong, J., 2012. "Personality, well-being and the marginal utility of income: What can we learn from random coefficient models?," Health, Econometrics and Data Group (HEDG) Working Papers 12/01, HEDG, c/o Department of Economics, University of York.
    5. 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(2), pages 123-134, April.
    6. Fiona Steele & Anna Vignoles & Andrew Jenkins, 2007. "The effect of school resources on pupil attainment: a multilevel simultaneous equation modelling approach," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 170(3), pages 801-824, July.
    7. 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(2), pages 124-139, April.
    8. Shor, Boris & Bafumi, Joseph & Keele, Luke & Park, David, 2007. "A Bayesian Multilevel Modeling Approach to Time-Series Cross-Sectional Data," Political Analysis, Cambridge University Press, vol. 15(2), pages 165-181, April.
    9. Breusch, Trevor & Ward, Michael B. & Nguyen, Hoa Thi Minh & Kompas, Tom, 2011. "FEVD: Just IV or Just Mistaken?," Political Analysis, Cambridge University Press, vol. 19(2), pages 165-169, April.
    10. Oneal, John R. & Russett, Bruce, 2001. "Clear and Clean: The Fixed Effects of the Liberal Peace," International Organization, Cambridge University Press, vol. 55(2), pages 469-485, April.
    11. Boyce, Christopher J. & Wood, Alex M., 2011. "Personality and the marginal utility of income: Personality interacts with increases in household income to determine life satisfaction," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1), pages 183-191.
    12. Beck, Nathaniel, 2005. "Multilevel Analyses of Comparative Data: A Comment," Political Analysis, Cambridge University Press, vol. 13(4), pages 457-458.
    13. Christopher J. Boyce & Alex M. Wood, 2011. "Personality and the marginal utility of income: Personality interacts with increases in household income to determine life satisfaction," Post-Print halshs-00754542, HAL.
    14. Boyce, Christopher J. & Wood, Alex M., 2011. "Personality and the marginal utility of income: Personality interacts with increases in household income to determine life satisfaction," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1-2), pages 183-191, April.
    15. Jesse A. Berlin & Stephen E. Kimmel & Thomas R. Ten Have & Mary D. Sammel, 1999. "An Empirical Comparison of Several Clustered Data Approaches Under Confounding Due to Cluster Effects in the Analysis of Complications of Coronary Angioplasty," Biometrics, The International Biometric Society, vol. 55(2), pages 470-476, June.
    16. Yongyun Shin & Stephen W. Raudenbush, 2010. "A Latent Cluster-Mean Approach to the Contextual Effects Model With Missing Data," Journal of Educational and Behavioral Statistics, , vol. 35(1), pages 26-53, February.
    17. Moulton, Brent R., 1986. "Random group effects and the precision of regression estimates," Journal of Econometrics, Elsevier, vol. 32(3), pages 385-397, August.
    18. Christopher J. Boyce & Alex M. Wood, 2011. "Personality and the marginal utility of income: Personality interacts with increases in household income to determine life satisfaction," PSE-Ecole d'économie de Paris (Postprint) halshs-00754542, HAL.
    19. Daniel Stegmueller, 2013. "How Many Countries for Multilevel Modeling? A Comparison of Frequentist and Bayesian Approaches," American Journal of Political Science, John Wiley & Sons, vol. 57(3), pages 748-761, July.
    20. Milner, Helen V. & Kubota, Keiko, 2005. "Why the Move to Free Trade? Democracy and Trade Policy in the Developing Countries," International Organization, Cambridge University Press, vol. 59(1), pages 107-143, January.
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