Multidimensional scaling covers a variety of statistical techniques in the area of multivariate data analysis. Geared toward dimensional reduction and graphical representation of data, it arose within the field of the behavioral sciences, but now holds techniques widely used in many disciplines. Multidimensional Scaling, Second Edition extends the popular first edition and brings it up to date. It concisely but comprehensively covers the area, summarizing the mathematical ideas behind the various techniques and illustrating the techniques with real-life examples. A computer disk containing programs and data sets accompanies the book.
Table of Contents
A Look at Data and Models
METRIC MULTIDIMENSIONAL SCALING
Metric Least Squares Scaling
Critchley's Intermediate Method
NONMETRIC MULTIDIMENSIONAL SCALING
The Gutman Approach
A Further Look at Stress
How Many Dimensions?
Interesting Axes in the Configuration
FURTHER ASPECTS OF MULTIDIMENSIONAL SCALING
Other Formulations of MDS
Statistical Inference for MDS
MONKEYS, WHISKY, AND OTHER APPLICATIONS
The Classic Biplot
Nonmetric Unidimensional Unfolding
Nonmetric Multidimensional Unfolding
Metric Multidimensional Unfolding
Analysis of Two-Way Contingency Tables
The Theory of Correspondence Analysis
Multiple Correspondence Analysis
INDIVIDUAL DIFFERENCES MODELS
The Tucker-Messick Model
ALSCAL, SMACOF, AND GIFI
FURTHER m-MODE, n-WAY MODELS
CANDECOMP, PARAFAC, and CANDELINC
DIDICOM and GIPSCAL
The Tucker Models
One-Mode, n-Way Models
Two-Mode, Three-Way Asymmetric Scaling
The Accompanying Diskette
The Data Provided
To Manipulate and Analyze Data
Inputting User Data
"The authors comment in the Preface that 'multidimensional scaling has now become popular and has extended into areas other than its traditional place in the behavioral sciences.' This is the essential reference. It has been updated sufficiently to merit purchase even by persons who already own the [first edition]."
- Techometrics, May 2003
"...I recommend this book to those who wish for an introduction to multidimensional scaling or who have some knowledge of the field and wish to become better informed."
-Journal of the Royal Statistical Society
"The book will provide a good overview of the subject for people who hope to use MDS methods, and will also serve as an introduction to those who wish to explore the methods in more depth."
Short Book Reviews, Vol. 21, No. 2, August, 2001