Accession Number : ADA300769

Title :   A Computational Guide to Power Analysis of Fixed Effects in Balanced Analysis of Variance Designs.

Descriptive Note : Final rept. Sep 94-Sep 95,

Corporate Author : DEPARTMENT OF DEFENSE POLYGRAPH INST FORT MCCLELLAN AL

Personal Author(s) : Dollins, Andrew B.

PDF Url : ADA300769

Report Date : SEP 1995

Pagination or Media Count : 42

Abstract : 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 Cohen's (1988) measure of effect size is provided. Algorithms are provided for power calculation and for conversion between X, Cohen's 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.

Descriptors :   *ANALYSIS OF VARIANCE, ALGORITHMS, COMPUTATIONS, PARAMETRIC ANALYSIS, EXPERIMENTAL DESIGN, STATISTICAL TESTS, PROBABILITY DISTRIBUTION FUNCTIONS, STATISTICAL DATA, DEGREES OF FREEDOM, HYPOTHESES, CORRELATION TECHNIQUES, STANDARD DEVIATION, GROUPS(MATHEMATICS).

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE