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The Equivalence of Panel Data Estimators under Orthogonal Experimental Design

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  • David Dickinson
  • Ronald Oaxaca

Abstract

This paper demonstrates the equivalence between pooled OLS, Fixed Effects, and Random Effects estimates when applied to data generated from an orthogonal experimental design under certain conditions. We show that the point estimates of the treatment effects are identical between these three panel data estimators but that the estimated standard errors differ. Specifically, the estimated variance covariance matrices are identical between FE and RE but differ from that of OLS. Despite the equivalence it is meaningful to test for OLS vs FE/RE because the error distributional assumptions are different.

Suggested Citation

  • David Dickinson & Ronald Oaxaca, 2005. "The Equivalence of Panel Data Estimators under Orthogonal Experimental Design," Working Papers 05-07, Department of Economics, Appalachian State University.
    • Handle: RePEc:apl:wpaper:05-07
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    File URL: http://econ.appstate.edu/RePEc/pdf/wp0507.pdf
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    References listed on IDEAS

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    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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    Cited by:

    1. Lenel, Friederike & Steiner, Susan, 2017. "Insurance and Solidarity: Evidence from a Lab-in-the-Field Experiment in Cambodia," IZA Discussion Papers 10986, Institute of Labor Economics (IZA).
    2. Morawetz, Ulrich B. & De Groote, Hugo & Kimenju, Simon Chege, 2011. "Improving the Use of Experimental Auctions in Africa: Theory and Evidence," Journal of Agricultural and Resource Economics, Western Agricultural Economics Association, vol. 36(2), pages 1-17, August.
    3. David L. Dickinson & Ronald L. Oaxaca, 2009. "Statistical Discrimination in Labor Markets: An Experimental Analysis," Southern Economic Journal, John Wiley & Sons, vol. 76(1), pages 16-31, July.
    4. Subhasish Dugar & Todd Sorensen, 2006. "Hassle Costs, Price-Matching Guarantees and Price Competition: An Experiment," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 28(4), pages 359-378, June.

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