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Triplet Clustering of One-Mode Two-Way Proximities

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Abstract

Some researchers noticed that proximities of three objects are useful to disclose relationships among objects. Sometimes it is not easy to obtain one-mode three-way proximities in contrast to obtain one-mode two-way proximities. Hence, a procedure to assemble one-mode three-way proximities from one-mode two-way proximities is introduced. And a method for hierarchical clustering of the resulting one-mode three-way proximities, where three clusters (objects) form a new cluster at each step of the clustering, is introduced. The procedure is applied to one-mode two-way dissimilarities among kinship terms, and the resulting one-mode three-way dissimilarities (dissimilarities of three kinship terms) were analyzed by the method of cluster analysis for one-mode three-way dissimilarities, which is comparable to the complete linkage. The one-mode two-way dissimilarities, from which the one-mode three-way dissimilarities were assembled, were analyzed by the complete linkage cluster analysis. The comparison of the two results shows that the present analysis revealed the aspects which cannot be disclosed by the analysis using one-mode two-way cluster analysis.

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