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Clustering and Hierarchy in Interpersonal Relations: Testing Two Graph Theoretical Models on 742 Sociomatrices

James A. Davis
American Sociological Review
Vol. 35, No. 5 (Oct., 1970), pp. 843-851
Stable URL: http://www.jstor.org/stable/2093295
Page Count: 9
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Clustering and Hierarchy in Interpersonal Relations: Testing Two Graph Theoretical Models on 742 Sociomatrices
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Abstract

This paper reports the success of the Davis-Leinhardt graph theoretical model in predicting structural trends in a data bank of 742 sociograms from diverse small groups. The model has an over-all success rate of 70%, but two key predictions are not supported. An alternative model is then tested. Its prediction that the sums of pair relations tend toward cluster-ability is supported in 77% of the tests, and its prediction that differences of pair relations tend toward a transitive tournament is supported in 90% of the tests.

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