A Computational Guide to Power Analysis of Fixed Effects in Balanced Analysis of Variance Designs.
Final rept. Sep 94-Sep 95,
DEPARTMENT OF DEFENSE POLYGRAPH INST FORT MCCLELLAN AL
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This manuscript provides a step-by-step guide to statistical power calculation for the fixed effects of analysis of variance ANOVA designs with an equal number of observations in each cell. A brief history of ANOVA hypothesis testing theory is included to explain why power calculation is important and how the results can be used. The relationship between lambda X, the noncentrality parameter used to calculate power in the ANOVA, and Cohens 1988 measure of effect size is provided. Algorithms are provided for power calculation and for conversion between X, Cohens measure of effect size, and phi--the parameter used in many tables of the noncentral F distribution. The appendices contain power of calculation examples for the main and interaction effects of 2 x 3 x 3 between- and within- subjects designs.
- Statistics and Probability