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A Method for Detecting Structure in Sociometric Data

Paul W. Holland and Samuel Leinhardt
American Journal of Sociology
Vol. 76, No. 3 (Nov., 1970), pp. 492-513
Stable URL: http://www.jstor.org/stable/2775735
Page Count: 22
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A Method for Detecting Structure in Sociometric Data
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Abstract

The authors focus on developing standardized measures for models of structure in interpersonal relations. A theorem is presented which yields expectations and variances for measures based on triads. Random models for these measures are discussed and the procedure is carried out for a model of a partial order. This model contains as special cases a number of previously suggested models, including the structural balance model of Cartwright and Harary, Davis's clustering model, and the ranked-clusters model of Davis and Leinhardt. In an illustrative exmaple, eight sociograms are analyzed and the general model is compared with the special case of ranked clusters.

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