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Cluster analysis of dyad distributions in networks
Authors:Ove Frank  Henryka Komańska  Keith F Widaman
Institution:(1) Department of Statistics, University of Stockholm, Box 6701, S-113 85 Stockholm, Sweden;(2) Department of Statistics, Temple University, 19122 Philadelphia, PA, USA;(3) Department of Psychology, University of California, 92521 Riverside, CA, USA
Abstract:Existing statistical models for network data that are easy to estimate and fit are based on the assumption of dyad independence or conditional dyad independence if the individuals are categorized into subgroups. We discuss how such models might be overparameterized and argue that there is a need for subgrouping methods to find appropriate models. We propose clustering of dyad distributions as such a method and illustrate it by analyzing how cooperative learning methods affect friendship data for school children.Work for this report was initiated while Frank and Komanacuteska visited the Department of Statistics at the University of California, Riverside. Partial support was provided by the Swedish Council for Research in the Humanities and Social Sciences.
Keywords:Log-linear network models  Clustering  Dyad distributions  Cooperative learning
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