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Symmetric experimental designs: conditions for equivalence of panel data estimators

Published online by Cambridge University Press:  01 January 2025

Ronald L. Oaxaca  and
David L. Dickinson
Ronald L. Oaxaca*
Affiliation:
Department of Economics, University of Arizona, Tucson, USA IZA, Bonn, Germany LISER, Esch-sur-Alzette, Luxembourg PRESAGE, Texas , USA
David L. Dickinson
Affiliation:
IZA, Bonn, Germany Department of Economics, Appalachian State University, Boone , USA ESI, Orange , USA
*
e-mail: rlo@email.arizona.edu
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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.

Keywords

ExperimentsPanel dataEconometricsEstimators

JEL classification

C13: Estimation: General C23: Panel Data Models • Spatio-temporal Models C90: General
Type
Experimental Tools
Information
Journal of the Economic Science Association , Volume 2 , Issue 1 , May 2016 , pp. 85 - 95
Copyright
Copyright © Economic Science Association 2016

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