| Edition |
Rev. ed. |
| Description |
1 online resource (xiii, 376 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Summary |
This revised edition presents the relevant aspects of transformational geometry, matrix algebra, and calculus to those who may be lacking the necessary mathematical foundations of applied multivariate analysis. It brings up-to-date many definitions of mathematical concepts and their operations. It also clearly defines the relevance of the exercises to concerns within the business community and the social and behavioral sciences. Readers gain a technical background for tackling applications-oriented multivariate texts and receive a geometric perspective for understanding multivariate methods. Mathematical Tools for Applied Multivariate Analysis, Revised Edition illustrates major concepts in matrix algebra, linear structures, and eigenstructures geometrically, numerically, and algebraically. The authors emphasize the applications of these techniques by discussing potential solutions to problems outlined early in the book. They also present small numerical examples of the various concepts. Key Features * Provides a technical base for tackling most applications-oriented multivariate texts * Presents a geometric perspective for aiding ones intuitive grasp of multivariate methods * Emphasizes technical terms current in the social and behavioral sciences, statistics, and mathematics * Can be used either as a stand-alone text or a supplement to a multivariate statistics textbook * Employs many pictures and diagrams to convey an intuitive perception of matrix algebra concepts * Toy problems provide a step-by-step approach to each model and matrix algebra concept * Provides solutions for all exercises. |
| Contents |
The Nature of Multivariate Data Analysis. -- Vector and Matrix Operations for Multivariate Analysis. -- Vector and Matrix Concepts from a Geometric Viewpoint. -- Linear Transformations from a Geometric Viewpoint. -- Decomposition of Matrix Transformations: Eigenstructures and Quadratic Forms. -- Applying the Tools to Multivariate Data. -- Appendices: -- Symbolic Differentiation and Optimization of Multivariable Functions. -- Linear Equations and Generalized Inverses. -- Answers to Numerical Problems. -- References. -- Index. |
| Note |
Green's name appears first on the earlier edition. |
| Bibliography |
Includes bibliographical references (pages 364-367) and index. |
| Note |
Print version record. |
| Subject |
Multivariate analysis.
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Multivariate Analysis |
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Analyse multivariée.
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Multivariate analysis
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Multivariate analyse.
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Lineaire algebra.
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| Added Author |
Green, Paul E.
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Chaturvedi, Anil, 1948-
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| Other Form: |
Print version: Carroll, J. Douglas. Mathematical tools for applied multivariate analysis. Rev. ed. San Diego : Academic Press, ©1997 0121609545 9780121609542 (DLC) 97074470 (OCoLC)38174267 |
| ISBN |
9780121609542 |
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0121609545 |
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0121609553 (paper ; acid-free paper) |
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9780121609559 (paper ; acid-free paper) |
| Standard No. |
AU@ 000048131138 |
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CHNEW 001005107 |
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DEBBG BV036962202 |
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DEBBG BV042317224 |
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DEBSZ 275266419 |
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NZ1 12432230 |
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NZ1 15192804 |
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