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.
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INTRODUCTION
Introduction
A Look at Data and Models
Proximities
Matrix Results
METRIC MULTIDIMENSIONAL SCALING
Introduction
Classical Scaling
Robustness
Metric Least Squares Scaling
Critchley's Intermediate Method
Unidimensional Scaling
Grouped Dissimilarities
Inverse Scaling
NONMETRIC MULTIDIMENSIONAL SCALING
Introduction
Kruskal's Approach
The Gutman Approach
A Further Look at Stress
How Many Dimensions?
Starting Configurations
Interesting Axes in the Configuration
FURTHER ASPECTS OF MULTIDIMENSIONAL SCALING
Other Formulations of MDS
MDS Diagnostics
Robust MDS
Interactive MDS
Dynamic MDS
Constrained MDS
Statistical Inference for MDS
Asymmetric Dissimilarities
PROCRUSTES ANALYSIS
Introduction
Procrustes Analysis
Historic Maps
Some Generalizations
MONKEYS, WHISKY, AND OTHER APPLICATIONS
Introduction
Monkeys
Whisky
Aeroplanes
Yoghurts
Bees
BIPLOTS
Introduction
The Classic Biplot
Another Approach
Categorical Variables
UNFOLDING
Introduction
Nonmetric Unidimensional Unfolding
Nonmetric Multidimensional Unfolding
Metric Multidimensional Unfolding
CORRESPONDENCE ANALYSIS
Introduction
Analysis of Two-Way Contingency Tables
The Theory of Correspondence Analysis
Reciprocal Averaging
Multiple Correspondence Analysis
INDIVIDUAL DIFFERENCES MODELS
Introduction
The Tucker-Messick Model
INDSCAL
IDIOSCAL
PINDIS
ALSCAL, SMACOF, AND GIFI
ALSCAL
SMACOF
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
Three-Way Unfolding
APPENDIX
Computer Programs
The Accompanying Diskette
The Data Provided
To Manipulate and Analyze Data
Inputting User Data
Error Messages
REFERENCES.
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