Introduction to Multivariate Analysis

✍ Scribed by Christopher Chatfield, Alexander J. Collins (auth.)

• Publisher: Springer US
• Year: 1980
• Tongue: English
• Leaves: 249
• Edition: 1
• Category: Library

✦ Synopsis

This book provides an introduction to the analysis of multivariate data. It should be suitable for statisticians and other research workers who are familiar with basic probability theory and elementary inference, and also have a basic grounding in matrix algebra. The book should also be suitable as a text for undergraduate and postgraduate statistics courses on multivariate analysis. The book covers a wider range oftopics than some other books in this area. It deals with preliminary data analysis, principal component and factor analysis and traditional normal-theory material. It also covers cluster analysis and scaling techniques. In writing the book, we have tried to provide a reasonable blend of theory and practice, in contrast to much of the existing literature which concentrates on one or other aspect. Enough theory is given to introduce the concepts and to make the topics mathematically interesting. But we also discuss the use (and misuse) of the techniques in practice and present appropriate real-life examples. Although the book is primarily an introductory text, we have nevertheless added appropriate references for further reading, so that the reader may extend his studies if he wishes.

✦ Table of Contents

Front Matter....Pages i-x
Front Matter....Pages 1-1
Introduction....Pages 3-17
Multivariate distributions....Pages 18-33
Preliminary data analysis....Pages 34-53
Front Matter....Pages 55-55
Principal component analysis....Pages 57-81
Factor analysis....Pages 82-89
Front Matter....Pages 91-91
The multivariate normal distribution....Pages 93-113
Procedures based on normal distribution theory....Pages 114-139
The multivariate analysis of variance....Pages 140-161
The multivariate analysis of covariance and related topics....Pages 162-186
Front Matter....Pages 187-187
Multidimensional scaling....Pages 189-211
Cluster analysis....Pages 212-230
Back Matter....Pages 231-246

✦ Subjects

Statistical Theory and Methods