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Linear model theoryexercises and solutions /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Linear model theoryby Dale L. Zimmerman.
Reminder of title:	exercises and solutions /
Author:	Zimmerman, Dale L.
Published:	Cham :Springer International Publishing :2020.
Description:	vii, 353 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Linear models (Statistics)
Online resource:	https://doi.org/10.1007/978-3-030-52074-8
ISBN:	9783030520748$q(electronic bk.)

Linear model theoryexercises and solutions /
Zimmerman, Dale L.

Linear model theoryexercises and solutions /[electronic resource] :by Dale L. Zimmerman. - Cham :Springer International Publishing :2020. - vii, 353 p. :ill., digital ;24 cm.

1 A Brief Introduction -- 2 Selected Matrix Algebra Topics and Results -- 3 Generalized Inverses and Solutions to Sytems of Linear Equations -- 4 Moments of a Random Vector and of Linear and Quadratic Forms in a Random Vector -- 5 Types of Linear Models -- 6 Estimability -- 7 Least Squares Estimation for the Gauss-Markov Model -- 8 Least Squares Geometry and the Overall ANOVA -- 9 Least Squares Estimation and ANOVA for Partitioned Models -- 10 Constrained Least Squares Estimation and ANOVA -- 11 Best Linear Unbiased Estimation for the Aitken Model -- 12 Model Misspecification -- 13 Best Linear Unbiased Prediction -- 14 Distribution Theory -- 15 Inference for Estimable and Predictable Functions -- 16 Inference for Variance-Covariance Parameters -- 17 Empirical BLUE and BLUP.

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.

ISBN: 9783030520748$q(electronic bk.)

Standard No.: 10.1007/978-3-030-52074-8doiSubjects--Topical Terms:

181866
Linear models (Statistics)

LC Class. No.: QA276.2 / .Z56 2020

Dewey Class. No.: 519.5

Linear model theoryexercises and solutions /
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245 1 0 $a Linear model theory $h [electronic resource] : $b exercises and solutions / $c by Dale L. Zimmerman.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a vii, 353 p. : $b ill., digital ; $c 24 cm.
505 0 $a 1 A Brief Introduction -- 2 Selected Matrix Algebra Topics and Results -- 3 Generalized Inverses and Solutions to Sytems of Linear Equations -- 4 Moments of a Random Vector and of Linear and Quadratic Forms in a Random Vector -- 5 Types of Linear Models -- 6 Estimability -- 7 Least Squares Estimation for the Gauss-Markov Model -- 8 Least Squares Geometry and the Overall ANOVA -- 9 Least Squares Estimation and ANOVA for Partitioned Models -- 10 Constrained Least Squares Estimation and ANOVA -- 11 Best Linear Unbiased Estimation for the Aitken Model -- 12 Model Misspecification -- 13 Best Linear Unbiased Prediction -- 14 Distribution Theory -- 15 Inference for Estimable and Predictable Functions -- 16 Inference for Variance-Covariance Parameters -- 17 Empirical BLUE and BLUP.
520 $a 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.
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650 0 $a Matrices. $3 181876
650 0 $a Algebra. $3 188312
650 1 4 $a Statistical Theory and Methods. $3 274054
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 274063
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-030-52074-8
950 $a Mathematics and Statistics (SpringerNature-11649)