The General Linear Model
General Linear Model methods are the most widely used in data analysis in applied empirical research. Still, there exists no compact text that can be used in statistics courses and as a guide in data analysis. This volume fills this void by introducing the General Linear Model (GLM), whose basic concept is that an observed variable can be explained from weighted independent variables plus an additive error term that reflects imperfections of the model and measurement error. It also covers multivariate regression, analysis of variance, analysis under consideration of covariates, variable selection methods, symmetric regression, and the recently developed methods of recursive partitioning and direction dependence analysis. Each method is formally derived and embedded in the GLM, and characteristics of these methods are highlighted. Real-world data examples illustrate the application of each of these methods, and it is shown how results can be interpreted.
- Introduces the General Linear Model as the basis of many other methods
- Illustrates other methods of correlation, regression, and analysis of variance
- Accessible to multiple audiences including students, researchers, and practitioners
Reviews & endorsements
'This book provides a thorough overview of regression analysis and the analysis of variance and covariance, foundational research methods in social and behavioral sciences. Dr. von Eye and Wiedermann, the authors, have decades of experience training graduate students on these methods and conducting research. Each chapter has a specific learning objective and methodically progresses toward more complex subjects. In addition, the latest methodological developments in causal inference and computationally intensive approaches are well integrated, which should greatly interest any social and behavioral scientists who want to stay abreast of the current state-of-the-art methods. This advanced graduate-level textbook is well-organized, up-to-date, and in-depth while still being understandable, with data examples and key takeaways. As someone involved in training graduate students in social and behavioral sciences, I am excited to use and recommend this book.' Eun-Young Mun, University of North Texas, USA
Product details
June 2023Hardback
9781009322171
125 pages
222 × 145 × 16 mm
0.36kg
Available
Table of Contents
- 1. The general linear model
- 2. OLS parameter estimation
- 3. Regression analysis
- 4. Analysis of variance (ANOVA).