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Symmetric experimental designs: conditions for equivalence of panel data estimators

Author

Listed:
  • Ronald L. Oaxaca

    () (University of Arizona
    IZA
    LISER
    PRESAGE)

  • David L. Dickinson

    (IZA
    Appalachian State University
    ESI)

Abstract

Abstract This paper specifies the panel data experimental design condition under which ordinary least squares, fixed effects, and random effects estimators yield identical estimates of treatment effects. This condition is relevant to the large body of laboratory experimental research that generates panel data. Although the point estimates and the true standard errors of the estimated average treatment effects are identical across the three estimators, the estimated standard errors differ. A standard F test as well as asymptotic reasoning guide the choice of which estimated standard errors are the appropriate ones to use for statistical inference.

Suggested Citation

  • Ronald L. Oaxaca & David L. Dickinson, 2016. "Symmetric experimental designs: conditions for equivalence of panel data estimators," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 2(1), pages 85-95, May.
  • Handle: RePEc:spr:jesaex:v:2:y:2016:i:1:d:10.1007_s40881-016-0022-x
    DOI: 10.1007/s40881-016-0022-x
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    References listed on IDEAS

    as
    1. Sascha Füllbrunn & Stefan Kreiner & Stefan Palan, 2015. "The value of a fallback option," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 23(2), pages 375-388, June.
    2. David L. Dickinson & Ronald L. Oaxaca, 2009. "Statistical Discrimination in Labor Markets: An Experimental Analysis," Southern Economic Journal, Southern Economic Association, vol. 76(1), pages 16-31, July.
    3. 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.
    4. Cason, Timothy N. & Masters, William A. & Sheremeta, Roman M., 2010. "Entry into winner-take-all and proportional-prize contests: An experimental study," Journal of Public Economics, Elsevier, vol. 94(9-10), pages 604-611, October.
    5. Smith, Vernon L & Williams, Arlington W, 1981. "On Nonbinding Price Controls in a Competitive Market," American Economic Review, American Economic Association, vol. 71(3), pages 467-474, June.
    6. David L. Dickinson & Ronald L. Oaxaca, 2014. "Wages, Employment, And Statistical Discrimination: Evidence From The Laboratory," Economic Inquiry, Western Economic Association International, vol. 52(4), pages 1380-1391, October.
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Experiments; Panel data; Econometrics; Estimators;

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C90 - Mathematical and Quantitative Methods - - Design of Experiments - - - General

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