Introduction to Multivariate Analysis

1. Front Matter

   Pages i-x

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2. Introduction

   1. Front Matter

      Pages 1-1

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   2. Introduction

      • Christopher Chatfield, Alexander J. Collins

      Pages 3-17

   3. Multivariate distributions

      • Christopher Chatfield, Alexander J. Collins

      Pages 18-33

   4. Preliminary data analysis

      • Christopher Chatfield, Alexander J. Collins

      Pages 34-53

3. Finding new underlying variables

   1. Front Matter

      Pages 55-55

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   2. Principal component analysis

      • Christopher Chatfield, Alexander J. Collins

      Pages 57-81

   3. Factor analysis

      • Christopher Chatfield, Alexander J. Collins

      Pages 82-89

4. Procedures based on the multivariate normal distribution

   1. Front Matter

      Pages 91-91

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   2. The multivariate normal distribution

      • Christopher Chatfield, Alexander J. Collins

      Pages 93-113

   3. Procedures based on normal distribution theory

      • Christopher Chatfield, Alexander J. Collins

      Pages 114-139

   4. The multivariate analysis of variance

      • Christopher Chatfield, Alexander J. Collins

      Pages 140-161

   5. The multivariate analysis of covariance and related topics

      • Christopher Chatfield, Alexander J. Collins

      Pages 162-186

5. Multidimensional scaling and cluster analysis

   1. Front Matter

      Pages 187-187

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   2. Multidimensional scaling

      • Christopher Chatfield, Alexander J. Collins

      Pages 189-211

   3. Cluster analysis

      • Christopher Chatfield, Alexander J. Collins

      Pages 212-230

6. Back Matter

   Pages 231-246

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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.

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

• School of Mathematics, Bath University, Bath, Avon, England

  Christopher Chatfield, Alexander J. Collins

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