# Introduction to Multivariate Analysis

• Christopher Chatfield
• Alexander J. Collins
Book

1. Front Matter
Pages i-x
2. ### Introduction

1. Front Matter
Pages 1-1
2. Christopher Chatfield, Alexander J. Collins
Pages 3-17
3. Christopher Chatfield, Alexander J. Collins
Pages 18-33
4. Christopher Chatfield, Alexander J. Collins
Pages 34-53
3. ### Finding new underlying variables

1. Front Matter
Pages 55-55
2. Christopher Chatfield, Alexander J. Collins
Pages 57-81
3. Christopher Chatfield, Alexander J. Collins
Pages 82-89
4. ### Procedures based on the multivariate normal distribution

1. Front Matter
Pages 91-91
2. Christopher Chatfield, Alexander J. Collins
Pages 93-113
3. Christopher Chatfield, Alexander J. Collins
Pages 114-139
4. Christopher Chatfield, Alexander J. Collins
Pages 140-161
5. Christopher Chatfield, Alexander J. Collins
Pages 162-186
5. ### Multidimensional scaling and cluster analysis

1. Front Matter
Pages 187-187
2. Christopher Chatfield, Alexander J. Collins
Pages 189-211
3. Christopher Chatfield, Alexander J. Collins
Pages 212-230
6. Back Matter
Pages 231-246

### Introduction

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.

### Keywords

Factor analysis analysis of variance cluster analysis data analysis multidimensional scaling principal component analysis probability theory statistics

#### Authors and affiliations

• Christopher Chatfield
• 1
• Alexander J. Collins
• 1
1. 1.School of MathematicsBath UniversityBath, AvonEngland

### Bibliographic information

• DOI https://doi.org/10.1007/978-1-4899-3184-9