Volume 58, Issue 2

p2: a random effects model with covariates for directed graphs

Tom A. B. Snijders

Department of Sociology/Statistics and Measurement Theory, ICS/Heijmans Institute, University of Groningen, Grote Rozenstraat 31, 9712 TG Groningen, the Netherlands

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Bonne J. H. Zijlstra

Department of Sociology/Statistics and Measurement Theory, ICS/Heijmans Institute, University of Groningen, Grote Rozenstraat 31, 9712 TG Groningen, the Netherlands

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First published: 05 March 2004
Citations: 99

Abstract

A random effects model is proposed for the analysis of binary dyadic data that represent a social network or directed graph, using nodal and/or dyadic attributes as covariates. The network structure is reflected by modeling the dependence between the relations to and from the same actor or node. Parameter estimates are proposed that are based on an iterated generalized least‐squares procedure. An application is presented to a data set on friendship relations between American lawyers.

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