Multidimensional Scaling

Multidimensional Scaling

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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.show more

Product details

  • Hardback | 328 pages
  • 160 x 233.7 x 22.9mm | 671.82g
  • Taylor & Francis Inc
  • CRC Press Inc
  • Bosa Roca, United States
  • English
  • Revised
  • 2nd Revised edition
  • 15 black & white tables
  • 1584880945
  • 9781584880943

Review quote

"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, 2001show more

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.show more