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Matrix Algebra Useful for Statistics (Wiley Series in Probability and Statistics) [Hardcover]

Shayle R. Searle (Author)
5.0 out of 5 stars  See all reviews (4 customer reviews)

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Book Description

August 19, 1982 0471866814 978-0471866817 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 (Wiley Series in Probability and Statistics) + Matrix Algebra From a Statistician's Perspective + Matrix Algebra: Exercises and Solutions
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Editorial Reviews

Review

Solutions Manual available from the Author. -- The publisher, John Wiley & Sons

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.

Product Details

  • Hardcover: 438 pages
  • Publisher: Wiley-Interscience; 1 edition (August 19, 1982)
  • Language: English
  • ISBN-10: 0471866814
  • ISBN-13: 978-0471866817
  • Product Dimensions: 9.3 x 6.2 x 1 inches
  • Shipping Weight: 1.6 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (4 customer reviews)
  • Amazon Best Sellers Rank: #523,962 in Books (See Top 100 in Books)

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27 of 28 people found the following review helpful:
5.0 out of 5 stars Definitively a classic, May 15, 2001
By 
Dr. Luis A. Apiolaza (Christchurch, New Zealand) - See all my reviews
(REAL NAME)   
This review is from: Matrix Algebra Useful for Statistics (Wiley Series in Probability and Statistics) (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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8 of 8 people found the following review helpful:
5.0 out of 5 stars A very useful book, January 3, 2008
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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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2 of 2 people found the following review helpful:
5.0 out of 5 stars The very best for statistician!, October 16, 2010
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This review is from: Matrix Algebra Useful for Statistics (Wiley Series in Probability and Statistics) (Hardcover)
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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Inside This Book (learn more)
First Sentence:
Science is today becoming increasingly quantitative. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
congruent canonical form, elementary operator matrices, diagonability theorem, similar canonical form, equivalent canonical form, centering matrix, estimable functions, diagonal expansion, elementary operators, idempotent matrices, summing vector, conformable for addition, scalar algebra, full column rank, generalized inverse, regular inverse, null matrices, corrected sums, orthogonal similarity, consistent equations, full row rank, linear hypotheses, dominant eigenvalue, partitioned matrices, dispersion matrix
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Source of Variation
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