Title
Exponential random graph (p∗) models for affiliation networks
Abstract
Recent advances in Exponential Random Graph Models (ERGMs), or p∗ models, include new specifications that give a much better chance of model convergence for large networks compared with the traditional Markov models. Simulation based MCMC maximum likelihood estimation techniques have been developed to replace the pseudolikelihood method. To date most work on ERGMs has focused on one-mode networks, with little done in the case of affiliation networks with two or more types of nodes. This paper proposes ERGMs for two-mode affiliation networks drawing on the recent advances for one-mode networks, including new two-mode specifications. We investigate features of the models by simulation, and compared the goodness of fit results obtained using the maximum likelihood and pseudolikelihood approaches. We introduce a new approach to goodness of fit for network models, using a heuristic based on Mahalanobis distance. The classic Southern Women data and Australian Interlocking Director data are used as examples to show that the ERGM with the newly specified statistics is a powerful tool for statistical analysis of affiliation networks.
Year
DOI
Venue
2009
10.1016/j.socnet.2008.08.002
Social Networks
Keywords
Field
DocType
Exponential random graph (p∗) models,Affiliation networks,MCMC MLE,Partial conditional dependence assumption
Heuristic,Markov chain Monte Carlo,Markov model,Pseudolikelihood,Mahalanobis distance,Artificial intelligence,Exponential random graph models,Statistics,Goodness of fit,Machine learning,Network model,Mathematics
Journal
Volume
Issue
ISSN
31
1
0378-8733
Citations 
PageRank 
References 
42
3.69
8
Authors
4
Name
Order
Citations
PageRank
Peng Wang126121.35
Ken Sharpe2423.69
Garry Robins342935.51
Philippa Pattison440776.44