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Statistical power analysis for one-way analysis of variance: A computer program

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Abstract

To facilitate the computation of statistical power for analysis of variance, Cohen developed the index of effect sizef, defined as theSD between groups divided by theSD within groups. A microcomputer program for statistical power allows the user to compute the value off in any of several ways: by specifying the mean andSD for every cell in the ANOVA; by specifying the mean value for the two extreme cells and the pattern of dispersion for the remaining cells; by estimating the proportion of variance in the dependent variable that will be explained by group membership; and/or with reference to conventions for small, medium, and large effects. The program will compute power for any single set of parameters; it will also allow the user to generate tables and graphs showing how power will vary as a function of effect size, sample size, andα.

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Author information

Authors and Affiliations

  1. Hillside Hospital, Long Island Jewish Medical Center, Glen Oaks, New York

    Michael Borenstein, Simcha Pollack & John M. Kane

  2. Biostatistical Programming Associates, Teaneck, New Jersey

    Michael Borenstein, Jacob Cohen & Simcha Pollack

  3. New York University, New York, New York

    Jacob Cohen

  4. Baruch College, City University of New York, New York, New York

    Hannah R. Rothstein

  5. St. Johns University, Jamaica, New York

    Simcha Pollack

Authors
  1. Michael Borenstein
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  2. Jacob Cohen
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  3. Hannah R. Rothstein
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  4. Simcha Pollack
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  5. John M. Kane
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Additional information

This research was supported in part by the following grants: NIMH/SBIR 1-R43-MH-43083-01, NIMH/SBIR 1-R43-MH-43083-02, and NIMH MH-41960-02. The authors would also like to express their appreciation to the editor and reviewers for their comments on an earlier draft of this paper.

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Borenstein, M., Cohen, J., Rothstein, H.R. et al. Statistical power analysis for one-way analysis of variance: A computer program. Behavior Research Methods, Instruments, & Computers 22, 271–282 (1990). https://doi.org/10.3758/BF03209816

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  • DOI: https://doi.org/10.3758/BF03209816

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