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Analysis of Variance (ANOVA)

Alexander von Eye, Wolfgang Wiedermann

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Abstract

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.

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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.

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Available abstract

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.

Key concepts: Analysis of variance, Mixed-design analysis of variance, Multivariate analysis of variance, Statistics, Analysis of covariance, Repeated measures design, Mathematics, One-way analysis of variance

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