An investigation of the power efficiency of the Friedman Nonparametric ANOVA test with respect to the one factor repeated measures ANOVA F-test

Author:
Getson, Pamela Rose, Curry School of Education, University of Virginia
Advisors:
Ball, Donald W., Curry School of Education, University of Virginia
Medley, Donald M., Curry School of Education, University of Virginia
Gansneder, Bruce, Curry School of Education, University of Virginia
Callahan, Carolyn, ED-CISE, University of Virginia
Shebilske, Wayne L., Department of Psychology, University of Virginia
Abstract:

The Friedman two-way analysis of variance and the one factor additive model repeated measures analysis of variance were applied to Monte-Carlo generated data in order explicate trends in relative power efficiency for the two tests under small sample cases.
It was concluded that the Friedman test is a viable alternative to the repeated measures analysis of variance additive model. The Friedman test was found to be similar to the repeated measures analysis of variance additive model in terms of power and relative power efficiency across all variable values considered in this study.

Degree:
PHD (Doctor of Philosophy)
Keywords:
Nonparametric statistics, Monte Carlo method
Language:
English
Rights:
All rights reserved (no additional license for public reuse)
Issued Date:
1978