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Statistical Power of Within and Between-Subjects Designs in Economic Experiments

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  • Charles Bellemare
  • Luc Bissonnette
  • Sabine Kröger

Abstract

This paper discusses the choice of the number of participants for within-subjects (WS) designs and between-subjects (BS) designs based on simulations of statistical power allowing for different numbers of experimental periods. We illustrate the usefulness of the approach in the context of field experiments on gift exchange. Our results suggest that a BS design requires between 4 to 8 times more subjects than a WS design to reach an acceptable level of statistical power. Moreover, the predicted minimal sample sizes required to correctly detect a treatment effect with a probability of 80% greatly exceed sizes currently used in the literature. Our results suggest that adding experimental periods in an experiment can substantially increase the statistical power of a WS design, but have very little effect on the statistical power of the BS design. Finally, we discuss issues relating to numerical computation and present the powerBBK package programmed for STATA. This package allows users to conduct their own analysis of power for the different designs (WS and BS), conditional on user specified experimental parameters (true effect size, sample size, number of periods, noise levels for control and treatment, error distributions), statistical tests (parametric and nonparametric), and estimation methods (linear regression, binary choice models (probit and logit), censored regression models (tobit)).

Suggested Citation

  • Charles Bellemare & Luc Bissonnette & Sabine Kröger, 2014. "Statistical Power of Within and Between-Subjects Designs in Economic Experiments," Cahiers de recherche 1425, CIRPEE.
    • Handle: RePEc:lvl:lacicr:1425
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    References listed on IDEAS

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    3. Kathryn N. Vasilaky & J. Michelle Brock, 2020. "Power(ful) guidelines for experimental economists," Journal of the Economic Science Association, Springer;Economic Science Association, vol. 6(2), pages 189-212, December.
    4. Cloos, Janis & Greiff, Matthias & Rusch, Hannes, 2019. "Geographical Concentration and Editorial Favoritism within the Field of Laboratory Experimental Economics," Research Memorandum 029, Maastricht University, Graduate School of Business and Economics (GSBE).
    5. Cloos, Janis & Greiff, Matthias & Rusch, Hannes, 2020. "Geographical Concentration and Editorial Favoritism within the Field of Laboratory Experimental Economics (RM/19/029-revised-)," Research Memorandum 014, Maastricht University, Graduate School of Business and Economics (GSBE).
    6. Braaten, Ragnhild Haugli & Brekke, Kjell Arne & Rogeberg, Ole, 2015. "Buying the right to do wrong – An experimental test of moral objections to trading emission permits," Resource and Energy Economics, Elsevier, vol. 42(C), pages 110-124.
    7. Cloos, Janis & Greiff, Matthias & Rusch, Hannes, 2021. "Editorial favoritism in the field of laboratory experimental economics (RM/20/014-revised-)," Research Memorandum 005, Maastricht University, Graduate School of Business and Economics (GSBE).
    8. Igor Asanov & Christoph Buehren & Panagiota Zacharodimou, 2020. "The power of experiments: How big is your n?," MAGKS Papers on Economics 202032, Philipps-Universität Marburg, Faculty of Business Administration and Economics, Department of Economics (Volkswirtschaftliche Abteilung).
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    More about this item

    Keywords

    Within-subjects design; Between-subjects design; sample sizes; statistical power; experiments;
    All these keywords.

    JEL classification:

    • C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs
    • C9 - Mathematical and Quantitative Methods - - Design of Experiments
    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles

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