An insightful approach to the analysis of variance in the study of
linear models
Linear Models explores the theory of linear models and the
dynamic relationships that these models have with Analysis of
Variance (ANOVA), experimental design, and random and mixed-model
effects. This one-of-a-kind book emphasizes an approach that
clearly explains the distribution theory of linear models and
experimental design starting from basic mathematical concepts in
linear algebra.
The author begins with a presentation of the classic
fixed-effects linear model and goes on to illustrate eight common
linear models, along with the value of their use in statistics.
From this foundation, subsequent chapters introduce concepts
pertaining to the linear model, starting with vector space theory
and the theory of least-squares estimation. An outline of the
Helmert matrix is also presented, along with a thorough explanation
of how the ANOVA is created in both typical two-way and higher
layout designs, ultimately revealing the distribution theory. Other
important topics covered include:
Vector space theory
The theory of least squares estimation
Gauss-Markov theorem
Kronecker products
Diagnostic and robust methods for linear models
Likelihood approaches to estimation
A discussion of Bayesian theory is also included for purposes of
comparison and contrast, and numerous illustrative exercises assist
the reader with uncovering the nature of the models, using both
classic and new data sets. Requiring only a working knowledge of
basic probability and statistical inference, Linear Models is a
valuable book for courses on linear models at the
upper-undergraduate and graduate levels. It is also an excellent
reference for practitioners who use linear models to conduct
research in the fields of econometrics, psychology, sociology,
biology, and agriculture.
General
Imprint: |
John Wiley & Sons
|
Country of origin: |
United States |
Release date: |
August 2008 |
First published: |
August 2008 |
Authors: |
B.R. Clarke
|
Dimensions: |
240 x 168 x 21mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
272 |
ISBN-13: |
978-0-470-02566-6 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
0-470-02566-2 |
Barcode: |
9780470025666 |
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!