Journal
SOCIAL NETWORKS
Volume 44, Issue -, Pages 334-345Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.socnet.2015.11.002
Keywords
Multilevel networks; Hierarchical models; Exponential random graph models; Autoregressive models
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Funding
- Breast Cancer Research Program, The University of Texas M.D. Anderson Cancer Center
- Intramural Research Program of the National Human Genome Research Institute at the National Institutes of Health [ZIA HG200335]
- US Army Research Institute for the Behavioral and Social Sciences
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In many applications, researchers may be interested in studying patterns of dyadic relationships that involve multiple groups, with a focus on modeling the systematic patterns within groups and how these structural patterns differ across groups. A number of different models - many of them potentially quite powerful - have been developed that allow for researchers to study these differences. However, as with any set of models, these are limited in ways that constrain the types of questions researchers may ask, such as those involving the variance in group-wise structural features. In this paper, we demonstrate some of the ways in which multilevel models based on a hierarchical Bayesian approach might be used to further develop and extend existing exponential random graph models to address such constraints. These include random coefficient extensions to the standard ERGM for sets of multiple unconnected or connected networks and examples of multilevel models that allow for the estimation of structural entrainment among connected groups. We demonstrate the application of these models to real-world and simulated data sets. Published by Elsevier B.V.
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