Matrix Algebra Useful for Statistics

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ISBN: 9781118935149 Category:

<p><b>A thoroughly updated guide to matrix algebra and it uses in statistical analysis and features SAS®, MATLAB®, and R throughout</b></p> <p>This <i>Second Edition </i>addresses matrix algebra that is useful in the statistical analysis of data as well as within statistics as a whole. The material is presented in an explanatory style rather than a formal theorem-proof format and is self-contained. Featuring numerous applied illustrations, numerical examples, and exercises, the book has been updated to include the use of SAS, MATLAB, and R for the execution of matrix computations. In addition, André I. Khuri, who has extensive research and teaching experience in the field, joins this new edition as co-author. The <i>Second Edition </i>also:</p> <ul> <li>Contains new coverage on vector spaces and linear transformations and discusses computational aspects of matrices</li> <li>Covers the analysis of balanced linear models using direct products of matrices</li> <li>Analyzes multiresponse linear models where several responses can be of interest</li> <li>Includes extensive use of SAS, MATLAB, and R throughout</li> <li>Contains over 400 examples and exercises to reinforce understanding along with select solutions</li> <li>Includes plentiful new illustrations depicting the importance of geometry as well as historical interludes</li> </ul> <p><i>Matrix Algebra Useful for Statistics, Second Edition </i>is an ideal textbook for advanced undergraduate and first-year graduate level courses in statistics and other related disciplines. The book is also appropriate as a reference for independent readers who use statistics and wish to improve their knowledge of matrix algebra.</p> <p><b>THE LATE SHAYLE R. SEARLE, PHD, </b>was professor emeritus of biometry at Cornell University. He was the author of <i>Linear Models for Unbalanced Data </i>and <i>Linear Models </i>and co-author of <i>Generalized, Linear, and Mixed Models, Second Edition, Matrix Algebra for Applied Economics, </i>and <i>Variance Components, </i>all published by Wiley. Dr. Searle received the Alexander von Humboldt Senior Scientist Award, and he was an honorary fellow of the Royal Society of New Zealand.</p> <p><b>ANDRÉ I. KHURI, PHD, </b>is Professor Emeritus of Statistics at the University of Florida. He is the author of <i>Advanced Calculus with Applications in Statistics, Second Edition </i>and co-author of <i>Statistical Tests for Mixed Linear Models, </i>all published by Wiley. Dr. Khuri is a member of numerous academic associations, among them the American Statistical Association and the Institute of Mathematical Statistics.</p>