Abstract

One possible reason for the continued neglect of statistical power analysis in research in the behavioral sciences is the inaccessibility of or difficulty with the standard material. A convenient, although not comprehensive, presentation of required sample sizes is provided here. Effect-size indexes and conventional values for these are given for operationally defined small, medium, and large effects. The sample sizes necessary for .80 power to detect effects at these levels are tabled for eight standard statistical tests: (a) the difference between independent means, (b) the significance of a product-moment correlation, (c) the difference between independent rs, (d) the sign test, (e) the difference between independent proportions, (f) chi-square tests for goodness of fit and contingency tables, (g) one-way analysis of variance, and (h) the significance of a multiple or multiple partial correlation.

Keywords

Contingency tableStatisticsSign testStatistical significanceStatistical powerSample size determinationMathematicsStatistical hypothesis testingChi-square testSample (material)Analysis of varianceVariance (accounting)EconometricsPsychologyMann–Whitney U testWilcoxon signed-rank testChemistry

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Year
1992
Type
article
Volume
112
Issue
1
Pages
155-159
Citations
8647
Access
Closed

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Jacob Cohen (1992). A power primer.. Psychological Bulletin , 112 (1) , 155-159. https://doi.org/10.1037//0033-2909.112.1.155

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DOI
10.1037//0033-2909.112.1.155