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Tree Models of Similarity and Association
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Tree Models of Similarity and Association



72 pages | SAGE Publications, Inc
Clustering and tree models are being widely used in the social and biological sciences to analyze similarity relations. This volume describes how matrices of similarities or associations among entities can be modelled using trees, and explains some of the issues that arise in performing such analyses and interpreting the results correctly. James E Corter distinguishes ultrametric trees from additive trees and discusses how specific aspects of each type of tree can be interpreted through the use of applications as examples. He concludes with a discussion of when tree models might be preferable to spatial geometric models.
 
Introduction
 
Two Types of Tree Models
 
Algorithms for Fitting Trees to Data
 
Practical Issues and Applications
 
Some Extensions of Tree Models
 
Discussions and Conclusions
 
Appendix A: Mathematical Programming
 
Appendix B: Availability of Software for Fitting Trees
 
Appendix C: Estimating Fit of a Tree Using Multiple Regression

James E. Corter

Scholarly InterestsComputational models of human learning and categorization.  Judgment and decision-making. Clustering and scaling methods for multivariate data.  Statistics expertise and probability problem-solving.  Evaluation of educational technology innovations. More About Author

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