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Regression, ANOVA, and the General Linear Model
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Regression, ANOVA, and the General Linear Model
A Statistics Primer

  • Peter Vik - Pacific University, Forest Grove, OR, USA


January 2013 | 344 pages | SAGE Publications, Inc
Peter Vik's Regression, ANOVA, and the General Linear Model: A Statistics Primer demonstrates basic statistical concepts from two different perspectives, giving the reader a conceptual understanding of how to interpret statistics and their use. The two perspectives are (1) a traditional focus on the t-test, correlation, and ANOVA, and (2) a model-comparison approach using General Linear Models (GLM). This book juxtaposes the two approaches by presenting a traditional approach in one chapter, followed by the same analysis demonstrated using GLM. By so doing, students will acquire a theoretical and conceptual appreciation for data analysis as well as an applied practical understanding as to how these two approaches are alike.




 
Chapter 1: Introduction
 
Part I: Foundations of the General Linear Model
 
Chapter 2: Predicting Scores: The Mean and the Error of Prediction
 
Chapter 3: Bivariate Regression
 
Chapter 4: Model Comparison: The Simplest Model Versus a Regression Model
 
Part II: Fundamental Statistical Tests
 
Chapter 5: Correlation: Traditional and Regression Approaches
 
Chapter 6: T-test: Concepts and Traditional Approach
 
Chapter 7: Oneway Analysis of Variance (ANOVA): Traditional Approach
 
Chapter 8: T-test, ANOVA, and the Bivariate Regression Approach
 
Part III: Adding Complexity
 
Chapter 9: Model Comparison II: Multiple Regression
 
Chapter 10: Multiple Regression: When Predictors Interact
 
Chapter 11: Two-way ANOVA: Traditional Approach
 
Chapter 12: Two-way ANOVA: Model Comparison Approach
 
Chapter 13: One-way ANOVA with Three Groups: Traditional Approach
 
Chapter 14: ANOVA with Three Groups: Model Comparison Approach
 
Chapter 15: Two by Three ANOVA: Complex Categorical Models
 
Chapter 16: Two by Three ANOVA: Model Comparison Approach
 
Chapter 17: Analysis of Covariance (ANCOVA): Continuous and Categorical Predictors
 
Chapter 18: Repeated Measures
 
Chapter 19: Multiple Repeated Measures
 
Chapter 20: Mixed Between and Within Designs
 
Appendices
 
A: Research Designs
 
B: Variables, Distributions, & Statistical Assumptions
 
C: Sampling and Sample Sizes
 
D: Null Hypothesis, Statistical Decision-Making, & Statistical Power

“I believe that when students are taught about statistics using the approach of this text, they have a MUCH deeper understanding and appreciation of the material. It is really fantastic.”

Jeffrey A. Ciesla
Kent State University

“The author does a really nice job of explaining the General Linear Model (GLM) by comparing it to hypothesis testing and showing [some of] its real-world applicability.”

Alfred F. Mancuso
Georgian Court University

“The text includes simple descriptions of complex mathematical concepts that are the foundation of statistics in the social sciences.”

Lela Rankin Williams
Arizona State University

“I think the book provides a nice step-by-step approach to understanding ANOVA and regression techniques. The author does an excellent job breaking down the different components of these statistical techniques while capturing the attention of the reader.”

Manfred van Dulmen
Kent State University

“…the author really takes the readers step by step and makes the material easy to follow even for readers without extensive mathematics backgrounds.”

Kamala London
University of Toledo

This book provides a very clearly written step-by-step approach of GLM, without using too many statistical formulations.

Dr Elisabeth Dorant
Fac: Health, Medicine & Life Sciences, Maastricht University
drupal

Not what I had anticipated. Had hoped for something that also incorporated SPSS.

Dr Helen Scott
Psyc, Staffordshire University
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Vik covers clearly and simply the mathematical concepts underlying vast tools in statistical methods. The examples are very helpful and are well explained in that a student with no statistical background can grasp the concepts therein without much difficulty. I would recommend students to supplement this text with their primary text when they take courses in statistics.

Dr Lorenz Neuwirth
Psychology Dept, Cuny College Of Staten Island
drupal

A useful text for students completing a Masters programme and doing a research dissertation. Good level of detail included and step by step process in various statistical tests is easy to follow.
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In my opinion slightly too detailed for undergraduates

Dr Pauline Meskell
School of Nursing and Midwifery, National University of Ireland, Galway
drupal

Alternative way at looking at statistics compared to other texts. Use to show student the links between statistical tests and manage hand calculations

Dr Robert Hogg
Dept of Sport & Exercise Science, University of Sunderland
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Key features

KEY FEATURES:

  • A demonstration of statistical analysis using both traditional and GLM approaches as offers a path to conceptual understanding of data analysis as well as a practical applied knowledge.
  • A single data set was used throughout the book to the extent possible, so as to demonstrate model-building by creating successively enhanced models based on the same data set.