, Volume 42, Issue 3, pp 319–345

Additive similarity trees

  • Shmuel Sattath
  • Amos Tversky

DOI: 10.1007/BF02293654

Cite this article as:
Sattath, S. & Tversky, A. Psychometrika (1977) 42: 319. doi:10.1007/BF02293654


Similarity data can be represented by additive trees. In this model, objects are represented by the external nodes of a tree, and the dissimilarity between objects is the length of the path joining them. The additive tree is less restrictive than the ultrametric tree, commonly known as the hierarchical clustering scheme. The two representations are characterized and compared. A computer program, ADDTREE, for the construction of additive trees is described and applied to several sets of data. A comparison of these results to the results of multidimensional scaling illustrates some empirical and theoretical advantages of tree representations over spatial representations of proximity data.

Key words

proximity clustering multidimensional scaling 

Copyright information

© Psychometric Society 1977

Authors and Affiliations

  • Shmuel Sattath
    • 1
  • Amos Tversky
    • 1
  1. 1.Dept. of PsychologyThe Hebrew UniversityJerusalemIsrael

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