Plane Answers to Complex Questions: The Theory of Linear Models | 
 enlarge | Author: Ronald Christensen
Publisher: Springer
Category: Book
List Price: $109.00
Buy New: $40.00
You Save: $69.00 (63%)
New (21) Used (14) from $36.45
Rating:  4 reviews
Sales Rank: 768931
Media: Hardcover
Edition: 3rd
Pages: 496
Number Of Items: 1
Shipping Weight (lbs): 1.8
Dimensions (in): 9.3 x 6.3 x 1
ISBN: 0387953612
Dewey Decimal Number: 519.535
EAN: 9780387953618
Publication Date: May 10, 2002
Availability: Usually ships in 1-2 business days
| |
| Accessories:
|
| Similar Items:
|
| Editorial Reviews:
Product Description
This textbook provides a wide-ranging introduction to the use and theory of linear models for analyzing data. The author's emphasis is on providing a unified treatment of linear models, including analysis of variance models and regression models, based on projections, orthogonality, and other vector space ideas. Every chapter comes with numerous exercises and examples that make it ideal for a graduate-level course. All of the standard topics are covered in depth: ANOVA, estimation including Bayesian estimation, hypothesis testing, multiple comparisons, regression analysis, and experimental design models. In addition, the book covers topics that are not usually treated at this level, but which are important in their own right: balanced incomplete block designs, testing for lack of fit, testing for independence, models with singular covariance matrices, variance component estimation, best linear and best linear unbiased prediction, collinearity, and variable selection. This new edition includes discussion of identifiability and its relationship to estimability, different approaches to the theories of testing parametric hypotheses and analysis of covariance, additional discussion of the geometry of least squares estimation and testing, new discussion of models for experiments with factorial treatment structures, and a new appendix on possible causes for getting test statistics that are so small as to be suspicious. Ronald Christensen is a Professor of Statistics at the University of New Mexico. He is a Fellow of the American Statistical Association and the Institute of Mathematical Statistics.
|
| Customer Reviews:
 Very good introduction textbook February 8, 2005
C. Tu (Lincoln, Nebraska United States)
3 out of 3 found this review helpful
This is a pretty good textbook for the linear model. If you have backgrounds in experimental design and matrix theory. Then this book will help you a lot. Some people may recommend the Searle's linear model. But Searle's book may be too focus on the theories therefore not too many applications.
If you are looking for a book for your linear model class. You might choose this one. Since it will help for your first step on the Linear model.
 Very Concise, Lack of Examples and Exercises May 6, 2007
A Reader
1 out of 1 found this review helpful
This book is very suitable for graduate students wishing to learn some linear algebra. It covers a lot of more recent topics such as mixed models.
While Dr. Christensen's writing is very clear, a lot more examples and/or exercises would definitely help to illustrate his points. For example, in section 2.4 he claims that "it's immaterial to use MSE or MLE [as] they will lead to identical confidence intervals and tests for sigma^2". This can be easily made as an exercise in chapter 3, where he discusses hypothesis testing. At least so that the students can see his point well. Moreover, I would appreciate it if he put like 5 or 6 exercises that make the students integrate every aspect they learned so far (like section 4.3 exercises). Practically, everything past chapter 9 is theoretical. I would appreciate it if he puts examples and/or exercises.
I believe that the BLUP of section 12.2 should be put right after section 6.3. Current placement on chapter 12 makes it a bit disruptive to read.
In addition, I think he should put more exercises in appendix A and B since they give the required linear algebra background for students, especially appendix B about Kronecker product and Tensor. I think he also needs to mention about [A (x) B]' = [A' (x) B'] in section B.5 since it's needed in chapter 7. While I understand that those appendices are background materials, I would think that more examples would also help, instead of just list of theorems.
Other than that, it's a pretty solid book.
 Confusing, poorly organized, bad notation October 18, 2005
John
2 out of 3 found this review helpful
The book has rave reviews from other professors. Here in lies the problem. From a students perspective the book is very confusing and hard to follow. All the examples in the first part of the book (they are scarce) are based off of one system listed in the first chapter. The questions for review sometimes have nothing to do with the chapter they are located and may require definitions presented in other chapters or other books. Notations are sometimes tricky and often not defined clearly (sometimes tucked away in a paragraph in appendices and not referenced by the index). The overall method of the book is somewhat clear, but needs a few more revisions until I would recommend this book to anyone.
Hard to follow December 19, 2007
W. WEI (CA, USA)
Apparently the author is very knowledgeable about the subject of this book, but he completely failed to impart that knowledge to readers who aren't themselved experts.
The book reads more like a collection of succinct notes made to the author himself, who (maybe along with a few colleagues) i guess, is the only person meant to read the book.
|
|
|
