Multidimensional Scaling: 2nd Edition (Hardback) book cover

Multidimensional Scaling

2nd Edition

By Trevor F. Cox, M.A.A. Cox

Chapman and Hall/CRC

328 pages

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Hardback: 9781584880943
pub: 2000-09-28
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Description

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.

Reviews

"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

Table of Contents

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.

About the Series

Chapman & Hall/CRC Monographs on Statistics and Applied Probability

Learn more…

Subject Categories

BISAC Subject Codes/Headings:
MAT029000
MATHEMATICS / Probability & Statistics / General