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Statistical power analysis for one-way analysis of variance: A computer program
Authors:Michael Borenstein  Jacob Cohen  Hannah R. Rothstein  Simcha Pollack  John M. Kane
Affiliation:1. Hillside Hospital, Long Island Jewish Medical Center, Glen Oaks, New York
2. Biostatistical Programming Associates, Teaneck, New Jersey
3. New York University, New York, New York
4. Baruch College, City University of New York, New York, New York
5. St. Johns University, Jamaica, New York
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.
Keywords:
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