Introducing ANOVA and ANCOVA: A GLM Approach (Introducing Statistical Methods Series)
By: Andrew Rutherford (author)Paperback
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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 ANCOVA are also presented when circumstances in which certain assumptions have not been met. The book also covers other important issues in the use of these approaches such as power analysis, optimal experimental designs, normality violations and robust methods, error rate and multiple comparison procedures and the role of omnibus F-tests.
An Introduction to Analysis of Variance, Analysis of Covariance and General Linear Models An Introduction to General Linear Models Regression, Analysis of Variance and Analysis of Covariance Traditional and GLM Approaches to Independent Measures Single Factors Anova Designs GLM Approaches to Independent Measures Factorial Anova Designs GLM Approaches to Repeated Measures Design GLM Approaches for Factorial Repeated Measures Designs The GLM Approach to Ancova Assumptions Underlying Anova, Traditional Ancova and GLMs Some Alternatives to Traditional Ancova Further Issues in Anova and Ancova
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- ID: 9780761951612
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