| The Structural Representation of Proximity Matrices with MATLAB Contributor(s): Hubert, Lawrence (Author), Arabie, Phipps (Author), Meulman, Jacqueline (Author) |
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ISBN: 0898716071 ISBN-13: 9780898716078 Publisher: Society for Industrial and Applied Mathematic OUR PRICE: $96.90 Product Type: Paperback Published: March 2006 |
| Additional Information |
| BISAC Categories: - Mathematics | Matrices |
| Dewey: 512.943 |
| LCCN: 2006042210 |
| Series: ASA-SIAM Series on Statistics and Applied Probability |
| Physical Information: 184 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: The Structural Representation of Proximity Matrices with MATLAB presents and demonstrates the use of functions within a MATLAB computational environment, affecting various structural representations for the proximity information that is assumed to be available on a set of objects. The representations included in the book have been developed primarily in the behavioral sciences and applied statistical literature, although interest in these topics now extends more widely to such fields as bioinformatics and chemometrics. This book is divided into three main sections, each based on the general class of representations being discussed. Part I develops linear and circular unidimensional and multidimensional scaling using the city-block metric as the major representational device. Part II discusses characterizations based on various graph-theoretic tree structures, specifically those referred to as ultrametrics and additive trees. Part III uses representations defined solely by order properties, particularly emphasizing what are called (strongly) anti-Robinson forms. |