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

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.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1995
Accession Number
ADA300769

Entities

People

  • Andrew B. Dollins

Organizations

  • United States Department of Defense

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  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Analysis Of Variance
  • Applied Psychology
  • Behavioral Sciences
  • Computer Programs
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  • Experimental Design
  • Information Science
  • Psychiatry
  • Psychology
  • Rehabilitation
  • Statistical Algorithms
  • Statistical Analysis
  • Statistical Inference
  • Statistical Tests
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