Introducing Anova and Ancova: A GLM Approach
By addebook • Oct 10th, 2008 • Category: Mathematics
Introducing Anova and Ancova: A GLM Approach (Introducing Statistical Methods series)
Introducing Anova and Ancova: A GLM Approach (Introducing Statistical Methods series)
By Andrew Rutherford
Publisher: Sage Publications Ltd
Number Of Pages: 192
Publication Date: 2001-03-08
ISBN-10 / ASIN: 0761951601
ISBN-13 / EAN: 9780761951605
Binding: Hardcover
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.
Summary: Good Foundation for ANOVA from GLM perspective
Rating: 5
This book’s main features to me are concise, clear writing, while balancing an in-depth treatment of ANOVA and ANCOVA from a linear model perspective. While it was not the easiest read (I am a doctoral student as I’m writing this), I have not found any sections that leave me confused. If you are looking for an explanation of ANOVA that is tightly written and does not contain a lot of extra background information, you will likely find this book very useful.
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