- Presents a unique collection of 296 exercises and complete solutions on linear model theory
- Covers a wide variety of topics, including best linear unbiased estimation and prediction
- Will benefit students and instructors alike
Buy this book
- About this Textbook
-
This book contains 296 exercises and solutions covering a wide variety of topics in linear model theory, including generalized inverses, estimability, best linear unbiased estimation and prediction, ANOVA, confidence intervals, simultaneous confidence intervals, hypothesis testing, and variance component estimation. The models covered include the Gauss-Markov and Aitken models, mixed and random effects models, and the general mixed linear model. Given its content, the book will be useful for students and instructors alike. Readers can also consult the companion textbook Linear Model Theory - With Examples and Exercises by the same author for the theory behind the exercises.
- About the authors
-
Dale L. Zimmerman is a Professor at the Department of Statistics and Actuarial Science, University of Iowa, USA. He received his Ph.D. in Statistics from Iowa State University in 1986. A Fellow of the American Statistical Association, his research interests include spatial statistics, longitudinal data analysis, multivariate analysis, mixed linear models, environmental statistics, and sports statistics. He has authored or co-authored three books and more than 90 articles in peer-reviewed journals. At the University of Iowa he teaches courses on linear models, regression analysis, spatial statistics, and mathematical statistics.
- Table of contents (17 chapters)
-
-
A Brief Introduction
Pages 1-1
-
Selected Matrix Algebra Topics and Results
Pages 3-6
-
Generalized Inverses and Solutions to Systems of Linear Equations
Pages 7-19
-
Moments of a Random Vector and of Linear and Quadratic Forms in a Random Vector
Pages 21-29
-
Types of Linear Models
Pages 31-38
-
Table of contents (17 chapters)
Buy this book
Services for this Book
Recommended for you
Bibliographic Information
- Bibliographic Information
-
- Book Title
- Linear Model Theory
- Book Subtitle
- Exercises and Solutions
- Authors
-
- Dale L. Zimmerman
- Copyright
- 2020
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-52074-8
- DOI
- 10.1007/978-3-030-52074-8
- Hardcover ISBN
- 978-3-030-52073-1
- Edition Number
- 1
- Number of Pages
- VII, 353
- Number of Illustrations
- 4 b/w illustrations
- Topics
