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Chapter 4 - Analysis of Variance (ANOVA)

Published online by Cambridge University Press:  15 June 2023

Alexander von Eye  and
Wolfgang Wiedermann
Alexander von Eye
Affiliation:
Michigan State University
Wolfgang Wiedermann
Affiliation:
University of Missouri
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Summary

Chapter 4 presents methods of analysis of variance (ANOVA). Based on the GLM, it is shown that ANOVA differs from regression only in the nature of the independent variables. Whereas in regression, the independent variables are usually metric, in ANOVA, they are categorical. In univariate ANOVA, there is one factor (that is, independent variable). In factorial ANOVA, there are multiple factors. In multivariate ANOVA (MANOVA), there are multiple dependent variables. In addition, this chapter discusses ANOVA for repeated observations and ANOVA with metric covariates.

Keywords

analysis of variance (ANOVA)categorical independent variablesunivariate ANOVAfactorial ANOVArepeated measurescovariates
Type
Chapter
Information
The General Linear Model
A Primer
 , pp. 124 - 161
Publisher: Cambridge University Press
Print publication year: 2023

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