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Matrix Algebra Useful for Statistics Paperback – March 20, 2006

ISBN-13: 978-0470009611 ISBN-10: 0470009616 Edition: 1st

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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: #1,167,407 in Books (See Top 100 in Books)

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.

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Customer Reviews

4.4 out of 5 stars
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The book has a nice balance between rigorous proof and conceptual discussion.
DDeLia
Searle covers most, if not all, the matrix algebra that you may need to fully understand applications of mixed linear models.
Amazon Customer
I would, by all means, recommend this book, but would still like to point out some weaknesses: 1.
SM-NM Catboy

Most Helpful Customer Reviews

28 of 29 people found the following review helpful By Amazon Customer on 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 By SM-NM Catboy VINE VOICE on 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 By Jesper Hybel Pedersen on 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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1 of 1 people found the following review helpful By Jeff Laufenberg on February 20, 2010
Format: Hardcover Verified Purchase
I'm methodically working through ALL the example problems in this textbook with the goal of firming up my understanding of matrix algebra and -ultimately- statistics. Currently on chapter 3 but I've been impressed thus far with the clarity of explanations and organization of the material. As a statistician myself, I'm certain this will be a valuable reference and resource for me in my work.
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