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- catalog abstract "This book provides a comprehensive treatment of multidimensional scaling (MDS), a statistical technique used to analyze the structure of similarity or dissimilarity data in multidimensional space. There are many examples of such data, including intercorrelations of attitude items, direct ratings of similarity on choice objects, and trade indices for a set of countries. MDS models such data as distances between points in a geometric space of low dimensionality. This makes complex data sets accessible to visual exploration and thus makes it easier to see structure not obvious from the numbers. Other uses of MDS interpret the geometry and, in particular, the distance function as a psychological composition rule. The book may be used as an introduction to MDS for students in many areas, including statistics, psychology, sociology, political science, and marketing. The prerequisite is a two-semester course in statistics for the social or managerial sciences. The volume is also suited for various advanced courses on MDS, either with an emphasis on data analysis or a focus on the psychology of similarity. All the mathematics required for more advanced topics is developed systematically.".
- catalog contributor b10152141.
- catalog contributor b10152142.
- catalog created "1997.".
- catalog date "1997".
- catalog date "1997.".
- catalog dateCopyrighted "1997.".
- catalog description "Includes bibliographical references and index.".
- catalog description "This book provides a comprehensive treatment of multidimensional scaling (MDS), a statistical technique used to analyze the structure of similarity or dissimilarity data in multidimensional space. There are many examples of such data, including intercorrelations of attitude items, direct ratings of similarity on choice objects, and trade indices for a set of countries. MDS models such data as distances between points in a geometric space of low dimensionality. This makes complex data sets accessible to visual exploration and thus makes it easier to see structure not obvious from the numbers. Other uses of MDS interpret the geometry and, in particular, the distance function as a psychological composition rule. The book may be used as an introduction to MDS for students in many areas, including statistics, psychology, sociology, political science, and marketing. The prerequisite is a two-semester course in statistics for the social or managerial sciences. The volume is also suited for various advanced courses on MDS, either with an emphasis on data analysis or a focus on the psychology of similarity. All the mathematics required for more advanced topics is developed systematically.".
- catalog description "[Pt.] 1. Fundamentals of MDS : 1. The four purposes of multidimensional scaling -- 2. Constructing MDS representations -- 3. MDS models and measures of fit -- 4. Three applications of MDS -- 5. MDS and facet theory -- 6. How to obtain proximities -- [Pt.] 2. MDS models and solving MDS problems : 7. Matrix algebra for MDS -- 8. A majorization algorithm for solving MDS -- 9. Metric and nonmetric MDS -- 10. Confirmatory MDS -- 11. MDS fit measures, their relations, and some algorithms -- 12. Classical scaling.".
- catalog extent "xvii, 471 p. :".
- catalog identifier "0387948457 (hardcover : alk. paper)".
- catalog isPartOf "Springer series in statistics".
- catalog issued "1997".
- catalog issued "1997.".
- catalog language "eng".
- catalog publisher "New York : Springer,".
- catalog subject "519.5/35 20".
- catalog subject "BF39.2.M85 B67 1997".
- catalog subject "Multidimensional scaling Data processing.".
- catalog subject "Multidimensional scaling.".
- catalog subject "Psychometrics.".
- catalog tableOfContents "[Pt.] 1. Fundamentals of MDS : 1. The four purposes of multidimensional scaling -- 2. Constructing MDS representations -- 3. MDS models and measures of fit -- 4. Three applications of MDS -- 5. MDS and facet theory -- 6. How to obtain proximities -- [Pt.] 2. MDS models and solving MDS problems : 7. Matrix algebra for MDS -- 8. A majorization algorithm for solving MDS -- 9. Metric and nonmetric MDS -- 10. Confirmatory MDS -- 11. MDS fit measures, their relations, and some algorithms -- 12. Classical scaling.".
- catalog title "Modern multidimensional scaling theory and applications / I. Borg and P.J.F. Groenen.".
- catalog type "text".