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Linear Model Theory

With Examples and Exercises

Authors: Zimmerman, Dale L.

  • Gives as much emphasis to predictive inference as it does to estimation, which is unique for a book on linear models
  • Illustrates every major theorem or concept with at least one special case or example
  • Features a wealth of exercises that will benefit students and instructors alike
  • Presents important elements of linear model methodology as interludes immediately after the respective theoretical content
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Buy this book

eBook 85,59 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: December 7, 2020
  • ISBN 978-3-030-52063-2
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 103,99 €
price for Spain (gross)
About this Textbook

This textbook presents a unified and rigorous approach to best linear unbiased estimation and prediction of parameters and random quantities in linear models, as well as other theory upon which much of the statistical methodology associated with linear models is based. The single most unique feature of the book is that each major concept or result is illustrated with one or more concrete examples or special cases. Commonly used methodologies based on the theory are presented in methodological interludes scattered throughout the book, along with a wealth of exercises that will benefit students and instructors alike. Generalized inverses are used throughout, so that the model matrix and various other matrices are not required to have full rank. Considerably more emphasis is given to estimability, partitioned analyses of variance, constrained least squares, effects of model misspecification, and most especially prediction than in many other textbooks on linear models. This book is intended for master and PhD students with a basic grasp of statistical theory, matrix algebra and applied regression analysis, and for instructors of linear models courses. Solutions to the book’s exercises are available in the companion volume Linear Model Theory - Exercises and Solutions by the same author.


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.

Buy this book

eBook 85,59 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: December 7, 2020
  • ISBN 978-3-030-52063-2
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 103,99 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Linear Model Theory
Book Subtitle
With Examples and Exercises
Authors
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-52063-2
DOI
10.1007/978-3-030-52063-2
Hardcover ISBN
978-3-030-52062-5
Edition Number
1
Number of Pages
XXI, 504
Number of Illustrations
14 b/w illustrations
Topics

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