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Matrix Algebra Useful for Statistics [Paperback]

Shayle R. Searle
4.4 out of 5 stars  See all reviews (7 customer reviews)

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Book Description

March 20, 2006 0470009616 978-0470009611 1
WILEY-INTERSCIENCE PAPERBACK SERIES

The Wiley-Interscience Paperback Series consists of selected books that have been made more accessible to consumers in an effort to increase global appeal and general circulation. With these new unabridged softcover volumes, Wiley hopes to extend the lives of these works by making them available to future generations of statisticians, mathematicians, and scientists.

"This book is intended to teach useful matrix algebra to 'students, teachers, consultants, researchers, and practitioners' in 'statistics and other quantitative methods'.The author concentrates on practical matters, and writes in a friendly and informal style . . . this is a useful and enjoyable book to have at hand."
-Biometrics

This book is an easy-to-understand guide to matrix algebra and its uses in statistical analysis. The material is presented in an explanatory style rather than the formal theorem-proof format. This self-contained text includes numerous applied illustrations, numerical examples, and exercises.

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Matrix Algebra Useful for Statistics + Matrix Algebra From a Statistician's Perspective
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Editorial Reviews

Review

Solutions Manual available from the Author. -- The publisher, John Wiley & Sons --This text refers to the Hardcover edition.

From the Publisher

An easy to understand guide to matrix algebra and its uses in statistical analysis. Presents material in an explanatory style instead of the formal theorem-proof format; the only background necessary is high school algebra. The self-contained text includes numerous applied illustrations, numerical examples, and exercises. --This text refers to the Hardcover edition.

Product Details

  • Paperback: 476 pages
  • Publisher: Wiley-Interscience; 1 edition (March 20, 2006)
  • Language: English
  • ISBN-10: 0470009616
  • ISBN-13: 978-0470009611
  • Product Dimensions: 9.1 x 6.3 x 0.8 inches
  • Shipping Weight: 1.3 pounds (View shipping rates and policies)
  • Average Customer Review: 4.4 out of 5 stars  See all reviews (7 customer reviews)
  • Amazon Best Sellers Rank: #945,277 in Books (See Top 100 in Books)

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Customer Reviews

4.4 out of 5 stars
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Most Helpful Customer Reviews
28 of 29 people found the following review helpful
5.0 out of 5 stars Definitively a classic May 15, 2001
Format:Hardcover
This is an excellent introductory book, although mostly oriented to people with a reasonably good mathematical background. Searle covers most, if not all, the matrix algebra that you may need to fully understand applications of mixed linear models. Chapters one to eight cover the essential operations (addition, multiplication, determinants, etc) as well as more advanced concepts (rank, canonical forms, inverse, etc). The rest of the book (chapters nine to fifteen) covers applications to statistics as well as advanced topics that can help you to understand how do some of the statistical packages work inside. The only mathematics book that I have read from cover to cover. Definitively a classic.
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9 of 9 people found the following review helpful
5.0 out of 5 stars A very useful book January 3, 2008
Format:Paperback|Verified Purchase
This book covers a lot of materials that will contribute to a solid understanding of matrix algebra. I would, by all means, recommend this book, but would still like to point out some weaknesses:

1. Unattractive page layout. Page after page of dull looks. Need more visuals; I don't mean colorful graphics but black-and-white diagrams and geometric interpretations.

2. From time to time, I felt like the author would give examples only on easy-to-understand topics, but avoid giving examples on difficult-to-understand ones. That didn't make sense to me.

3. Proofs should be more clearly presented. It seems like the author is always in a hurry to just get the job done. I guess it was designed for uninterested readers to simply skip the proofs without making them feel they have skipped over a lot of materials. However, for an interested reader like me, who isn't particularly strong in proofs, it was a disfavor.

4. Illustration topics could be more diverse. For instance, there are too many illustrations dealing with genetics. I would appreciate more everyday examples, like the taxi one.

Again, I would strongly recommend this book, despite what I think are its weaknesses.
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4 of 4 people found the following review helpful
1.0 out of 5 stars Overrated August 29, 2012
Format:Hardcover|Verified Purchase
"This book is adressed to people of limited ability or training in mathematics and is an attempt to keep the mathematical presentation as informal as possible." At least according to the preface of the book.

I do not think the author has succeeded in this selfproclaimed goal. In some chapters - which I consider core chapters - results are simply offered as theorems and then proved without any comment on the significance of the result. Theres a lack of a unified approach, where new concepts are linked to old ones whenever possible, and the notation is at times inconsistent both within and across chapters. Simple matters are presented in a complicated fashion perhaps to save space. The chapters on statistical application - particularly regression - did not impress me since I have seen appendices in stat books treat the matrix algebra with more insight rather than the dry computational fashion which seems to be the drive of this book.

Considering the amount of books available on linear algebra I find this book way too expensive and too dense to be worth the time.

To me this was not the hoped for bridge from linear algebra to a deepened understanding of the math behind in my case regression.
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2 of 2 people found the following review helpful
5.0 out of 5 stars The very best for statistician! October 16, 2010
By E.A
Format:Hardcover|Verified Purchase
Being a student of Health Economics, Statistics and Mathematical Epidemiology modeling, i have fumbled enough to understand matrix algebra.
But its until i got this book; "Matrix Algebra Useful for Statistics" is when i stopped buying more books.
Simply said, THIS IS THE BEST BOOK EVER WRITTEN to help you form a foundational understanding of Matrix Algebra that will make you understand ANY OTHER BOOK on matrix algebra. period
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