Introducing Anova and Ancova: A GLM Approach
Traditional approaches to ANOVA and ANCOVA are now being replaced by a General Linear Modeling (GLM) approach. This book begins with a brief history of the separate development of ANOVA and regression analyses and demonstrates how both analysis forms are subsumed by the General Linear Model. A simple single independent factor ANOVA is analysed first in conventional terms and then again in GLM terms to illustrate the two approaches.\ The text then goes on to cover the main designs, both...
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Traditional approaches to ANOVA and ANCOVA are now being replaced by a General Linear Modeling (GLM) approach. This book begins with a brief history of the separate development of ANOVA and regression analyses and demonstrates how both analysis forms are subsumed by the General Linear Model. A simple single independent factor ANOVA is analysed first in conventional terms and then again in GLM terms to illustrate the two approaches. The text then goes on to cover the main designs, both independent and related ANOVA and ANCOVA, single and multi-factor designs. The conventional statistical assumptions underlying ANOVA and ANCOVA are detailed and given expression in GLM terms. Alternatives to traditional ANCO
1An Introduction to General Linear Models: Regression, Analysis of Variance and Analysis of Covariance2Traditional and GLM Approaches to Independent Measures Single Factor ANOVA Designs3GLM Approaches to Independent Measures Factorial ANOVA Designs4GLM Approaches to Repeated Measures Designs5GLM Approaches to Factorial Repeated Measures Designs6The GLM Approach to ANCOVA7Assumptions Underlying ANOVA, Traditional ANCOVA and GLMS8Some Alternatives to Traditional ANCOVA9Further Issues in ANOVA and ANCOVAReferencesIndex
