مشخصات کتاب

Modern Multidimensional Scaling: Theory and Applications

ویرایش: 2nd 
نویسندگان: I. Borg,  P. J. F. Groenen  
سری: Springer Series in Statistics 
ISBN (شابک) : 9780387251509, 0387251502 
ناشر: Springer 
سال نشر: 2005 
تعداد صفحات: 612 
زبان: English 
فرمت فایل : PDF (درصورت درخواست کاربر به PDF، EPUB یا AZW3 تبدیل می شود) 
حجم فایل: 5 مگابایت 

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توضیحاتی درمورد کتاب به خارجی

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.

فهرست مطالب

ModernMultidimensionalScaling......Page 2
Preface......Page 5
Contents......Page 13
Part I Fundamentals of MDS......Page 20
1 The Four Purposes of Multidimensional Scaling......Page 21
2 Constructing MDS Representations......Page 37
3 MDS Models and Measures of Fit......Page 54
4 Three Applications of MDS......Page 79
5 MDS and Facet Theory......Page 102
6 How to Obtain Proximities......Page 125
Part II MDS Models and Solving MDS Problems......Page 148
7 Matrix Algebra for MDS......Page 149
8 A Majorization Algorithm for Solving MDS......Page 181
9 Metric and Nonmetric MDS......Page 210
10 Confirmatory MDS......Page 237
11 MDS Fit Measures, Their Relations, and Some Algorithms......Page 257
12 Classical Scaling......Page 271
13 Special Solutions, Degeneracies, and Local Minima......Page 278
Part III Unfolding......Page 299
14 Unfolding......Page 300
15 Avoiding Trivial Solutions in Unfolding......Page 324
16 Special Unfolding Models......Page 342
Part IV MDS Geometry as a Substantive Model......Page 363
17 MDS as a Psychological Model......Page 364
18 Scalar Products and Euclidean Distances......Page 394
19 Euclidean Embeddings......Page 415
Part V MDS and RelatedMethods......Page 431
20 Procrustes Procedures......Page 432
21 Three-Way Procrustean Models......Page 451
22 Three-Way MDS Models......Page 475
23 Modeling Asymmetric Data......Page 497
24 Methods Related to MDS......Page 521
Part VI Appendices......Page 543
Appendix A Computer Programs for MDS......Page 544
A.1 Interactive MDS Programs......Page 545
A.2 MDS Programs with High-Resolution Graphics......Page 551
A.3 MDS Programs without High-Resolution Graphics......Page 563
Appendix B Notation......Page 569
References......Page 572
Author Index......Page 597
Subject Index......Page 603

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