Overview
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
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Table of contents (17 chapters)
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Front Matter
Keywords
- 62J05, 62J10, 62F03, 62F10, 62F25
- linear models
- statistical theory
- exercises and solutions
- generalized inverses
- best linear unbiased estimation and prediction
- ANOVA
- least squares estimation
- variance component estimation
- simultaneous confidence intervals
- estimability
- hypothesis testing
- regression methods
- matrix algebra
- random vectors
- Gauss-Markov model
- Aitken model
- mixed and random effects models
- general mixed linear model
- BLUE and BLUP
About this book
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.
Reviews
Authors and Affiliations
About the author
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.
Bibliographic Information
Book Title: Linear Model Theory
Book Subtitle: Exercises and Solutions
Authors: Dale L. Zimmerman
DOI: https://doi.org/10.1007/978-3-030-52074-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-52073-1Published: 03 November 2020
Softcover ISBN: 978-3-030-52076-2Published: 03 November 2021
eBook ISBN: 978-3-030-52074-8Published: 02 November 2020
Edition Number: 1
Number of Pages: VII, 353
Number of Illustrations: 4 b/w illustrations
Topics: Statistical Theory and Methods, Linear and Multilinear Algebras, Matrix Theory