Modern Multidimensional Scaling
Theory and Applications
(Sprache: Englisch)
The first edition was released in 1996 and has sold close to 2200 copies.
Provides an up-to-date comprehensive treatment of MDS, a statistical technique used to analyze the structure of similarity or dissimilarity data in multidimensional space.
The...
Provides an up-to-date comprehensive treatment of MDS, a statistical technique used to analyze the structure of similarity or dissimilarity data in multidimensional space.
The...
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Produktinformationen zu „Modern Multidimensional Scaling “
The first edition was released in 1996 and has sold close to 2200 copies.
Provides an up-to-date comprehensive treatment of MDS, a statistical technique used to analyze the structure of similarity or dissimilarity data in multidimensional space.
The authors have added three chapters and exercise sets. The text is being moved from SSS to SSPP.
The book is suitable for courses in statistics for the social or managerial sciences as well as for advanced courses on MDS.
All the mathematics required for more advanced topics is developed systematically in the text.
Provides an up-to-date comprehensive treatment of MDS, a statistical technique used to analyze the structure of similarity or dissimilarity data in multidimensional space.
The authors have added three chapters and exercise sets. The text is being moved from SSS to SSPP.
The book is suitable for courses in statistics for the social or managerial sciences as well as for advanced courses on MDS.
All the mathematics required for more advanced topics is developed systematically in the text.
Klappentext zu „Modern Multidimensional Scaling “
The first edition was released in 1996 and has sold close to 2200 copies.
Provides an up-to-date comprehensive treatment of MDS, a statistical technique used to analyze the structure of similarity or dissimilarity data in multidimensional space.
The authors have added three chapters and exercise sets. The text is being moved from SSS to SSPP.
The book is suitable for courses in statistics for the social or managerial sciences as well as for advanced courses on MDS.
All the mathematics required for more advanced topics is developed systematically in the text.
The book provides a comprehensive treatment of multidimensional scaling (MDS), a family of statistical techniques for analyzing the structure of (dis)similarity data. Such data are widespread, including, for example, intercorrelations of survey items, direct ratings on the similarity on choice objects, or trade indices for a set of countries. MDS represents the data as distances among points in a geometric space of low dimensionality. This map can help to see patterns in the data that are not obvious from the data matrices. MDS is also used as a psychological model for judgments of similarity and preference.
This book may be used as an introduction to MDS for students in psychology, sociology, and marketing. The prerequisite is an elementary background in statistics. The book is also well suited for a variety of advanced courses on MDS topics. All the mathematics required for more advanced topics is developed systematically.
This second edition is not only a complete overhaul of its predecessor, but also adds some 140 pages of new material. Many chapters are revised or have sections reflecting new insights and developments in MDS. There are two new chapters, one on asymmetric models and the other on unfolding. There are also numerous exercises that help the reader to practice what he or she has learned, and to delve deeper into the models and its intricacies. These exercises make it easier to use this edition in a course. All data sets used in the book can be downloaded from the web. The appendix on computer programs has also been updated and enlarged to reflect the state of the art.
This book may be used as an introduction to MDS for students in psychology, sociology, and marketing. The prerequisite is an elementary background in statistics. The book is also well suited for a variety of advanced courses on MDS topics. All the mathematics required for more advanced topics is developed systematically.
This second edition is not only a complete overhaul of its predecessor, but also adds some 140 pages of new material. Many chapters are revised or have sections reflecting new insights and developments in MDS. There are two new chapters, one on asymmetric models and the other on unfolding. There are also numerous exercises that help the reader to practice what he or she has learned, and to delve deeper into the models and its intricacies. These exercises make it easier to use this edition in a course. All data sets used in the book can be downloaded from the web. The appendix on computer programs has also been updated and enlarged to reflect the state of the art.
Inhaltsverzeichnis zu „Modern Multidimensional Scaling “
Part I. Fundamentals of MDS:- The four purposes of multidimensional scaling
- Constructing MDS representations
- MDS models and measures of fit
- Three applications of MDS
- MDS and facet theory
- How to obtain proximities
Part II. MDS models and solving MDS problems
- Matrix algebra for MDS
- A majorization algorithm for solving MDS
- Metric and non-metric MDS
- Confirmatory MDS
- MDS fit measures, their relations, and some algorithms
- Classical scaling
- Special solutions, degeneracies, and local minima;
Part III. Unfolding
- Unfolding
- Avoiding trivial solutions in unfolding
- Special unfolding models
Part IV. MDS geometry as a substantive model
- MDS as a psychological model
- Scalar products and Euclidean distances
- Euclidean embeddings
Part V. MDS and related methods
- Procrustes procedures
- Three-way Procrustean models
- Three-way MDS models
- Modeling asymmetric data
- Methods related to MDS
Part VI. Appendices.
Autoren-Porträt von I. Borg, P. J. F. Groenen
Ingwer Borg ist wissenschaftlicher Leiter der Abteilung Survey Design & Methodology (SDM) der GESIS (Mannheim) und Professor am Fachbereich Psychologie der Uni Gießen. Seine Forschung liegt überwiegend im Bereich von Mitarbeiterbefragungen, Werten und Einstellungen sowie Skalierungsverfahren.
Bibliographische Angaben
- Autoren: I. Borg , P. J. F. Groenen
- 2005, 2nd ed., 614 Seiten, 176 Abbildungen, Maße: 18,5 x 25,9 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387251502
- ISBN-13: 9780387251509
Sprache:
Englisch
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