Matrices for Statistics

Paperback | June 15, 2000

byMichael Healy

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Multiple regression, linear modelling, and multivariate analysis are among the most useful statistical methods for the elucidation of complicated data, and all of them are most easily explained in matrix terms. Anyone concerned with the analysis of data needs to be familiar with thesemethods and a knowledge of matrices is essential in order to understand the literature in which they are described. This knowledge must include some advanced topics, but can do without much of the material covered by general textbooks of matrix algebra. This book is intended to cover the necessaryground as briefly as possible. Only the simplest of basic mathematics is used, and the book should be accessible to engineers, biologists, and social scientists as well as those with a specifically mathematical background. The text of the first edition has been re-written and revised to takeaccount of recent developments in statistical practice. The more difficult topics have been expanded and the mathematical explanations have been simplified. A new chapter has been included, at readers' request, to cover such topics as vectorising, matrix calculus and complex numbers. From thereviews of the first edition '...this should be a valuable handbook for a great variety of statistical users.' Short Book Reviews of the International Statistics Institute '...a good reference book for the serious student.' Journal of the American Statistical Association '...a very worthwhileaddition to anyone's shelf. Teaching Statistics 'I recommend it.' Technometrics

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Multiple regression, linear modelling, and multivariate analysis are among the most useful statistical methods for the elucidation of complicated data, and all of them are most easily explained in matrix terms. Anyone concerned with the analysis of data needs to be familiar with thesemethods and a knowledge of matrices is essential i...

M. J. R. Healy is at University of London (Emeritus).

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Format:PaperbackPublished:June 15, 2000Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:019850702X

ISBN - 13:9780198507024

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Table of Contents

1. Introducing matrices2. Determinants3. Inverse matrices4. Linear dependence and rank5. Simultaneous equations and generalized inverses6. Linear spaces7. Quadratic forms and eigensystems8. [chapter title not yet decided]9. Other topics