p2: a random effects model with covariates for directed graphs
Article first published online: 5 MAR 2004
Volume 58, Issue 2, pages 234–254, May 2004
How to Cite
van Duijn, M. A. J., Snijders, T. A. B. and Zijlstra, B. J. H. (2004), p2: a random effects model with covariates for directed graphs. Statistica Neerlandica, 58: 234–254. doi: 10.1046/j.0039-0402.2003.00258.x
- Issue published online: 5 MAR 2004
- Article first published online: 5 MAR 2004
- Received: May 2003. Revised: August 2003.
- adjacency matrix;
- dependent binary data;
- logistic regression;
- p1 model;
- random effects;
- social network analysis
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.