A General Method for Comparing Effect Magnitudes in Anova Designs

Researchers employing multiple treatment fixed effects analysis of variance (ANOVA) designs may be interested in comparing the magnitude of effects for factors within the same experiment. Often this comparison is done without the use of appropriate inferential techniques. Although Ronis (1981) propo...

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Bibliographic Details
Published in:Educational and psychological measurement 1987-06, Vol.47 (2), p.361-367
Main Author: Fowler, Robert L.
Format: Article
Language:English
Subjects:
Biological and medical sciences
Fundamental and applied biological sciences. Psychology
Psychology. Psychoanalysis. Psychiatry
Psychology. Psychophysiology
Psychometrics. Statistics. Methodology
Statistics. Mathematics
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Summary:Researchers employing multiple treatment fixed effects analysis of variance (ANOVA) designs may be interested in comparing the magnitude of effects for factors within the same experiment. Often this comparison is done without the use of appropriate inferential techniques. Although Ronis (1981) proposed a novel test of the proper null hypothesis, it is limited to the main effects of designs with only two levels of each factor for which the direction of effect is specified beforehand. This paper not only develops a more general method for comparing treatment magnitudes which may be used for main effects with any number of levels without regard to directionality but also provides a means of comparing the magnitudes of interactions of any degree to those of main effects in the same experiment.
ISSN:0013-1644
1552-3888
DOI:10.1177/0013164487472008