ANOVA and ANCOVA: A GLM Approach provides a contemporary look at the general linear model (GLM) approach to the analysis of variance (ANOVA) of one- and two-factor psychological experiments. With its organized and comprehensive presentation, the book successfully guides readers through conventional statistical concepts and how to interpret them in GLM terms, treating the main single- and multi-factor designs as they relate to ANOVA and ANCOVA.
The book begins with a brief history of the separate development of ANOVA and regression analyses, and then goes on to demonstrate how both analyses are incorporated into the understanding of GLMs. This new edition now explains specific and multiple comparisons of experimental conditions before and after the Omnibus ANOVA, and describes the estimation of effect sizes and power analyses leading to the determination of appropriate sample sizes for experiments to be conducted. Topics that have been expanded upon and added include:
Discussion of optimal experimental designs
Different approaches to carrying out the simple effect analyses and pairwise comparisons with a focus on related and repeated measure analyses
The issue of inflated Type 1 error due to multiple hypotheses testing
Worked examples of Shaffer's R test, which accommodates logical relations amongst hypotheses
ANOVA and ANCOVA: A GLM Approach, Second Edition is an excellent book for courses on linear modeling at the graduate level. It is also a suitable reference for researchers and practitioners in the fields of psychology and the biomedical and social sciences.
Keywords: Applied Probability & Statistics - Models, ANOVA, ANCOVA, general linear model analysis, GLM analysis, regression, analysis of variance, applied statistical analysis, hierarchical models, related measures designs, normality violations, Wilcox&rsquo, s normality violation arguments, general linear model, testing of hypotheses, optimal experimental designs, multiple hypotheses testing