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Title Diversity of statistical modeling approaches in multilevel social network analysis
Author BRAILLY Julien, LAZEGA Emmanuel
Keywords Affiliation, ERGM, Multilevel analysis, Multilevel substructure, Social network, Stochastic network analysis
Topic None
Abstract This article presents some different statistical approaches for multilevel network analysis including the multilevel-p2 models for egocentric network data analysis and the Exponential Random Graph Models (ERGMs) for neo-structural multilevel data. First, we study the stochastic models based on dependence assumptions between dyads, including a hierarchical approach using jointly different networks studies. After presenting the ERGMs, we investigate how multilevel dependence may be introduced in them. We conclude then by the Robins and Wang formalization [2010] which seems to be the most successful attempt to treat the dependencies between the two partially nested networks of different levels.
Number 198, Summer 2012
Language   French
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Title Building models for social space: neighourhood-based models for social networks and affiliation structures
Author PATTISON Philippa, ROBINS Garry
Keywords Affiliation, Dynamic, Neighbourhood, Random graph, Social space
Topics Graphs, Modelling, Networks, Probabilities, Process, Social Sciences, Stochastic Processes
Abstract We propose a quantitative relational framework for social space. We suggest that social space cannot be specified simply in geographical, network or sociocultural terms but, rather, requires an understanding of the interdependence of relationships among different types of social entities, such as persons, groups, sociocultural resources and places. We also suggest that social space cannot be regarded as fixed: unlike the Euclidean space of Newtonian mechanics, social space is constructed, at least in part, by the social processes that it supports. In the general stochastic relational framework that we propose, relationships among social entities are regarded as the fundamental elements of social space and observed relational entities are viewed as the outcome of processes that occur in overlapping local relational neighbourhoods. Each neighbourhood corresponds to a subset of possible relational entities and is conceived as a possible site of social interaction. We show how special cases of this framework yield hierarchies of models for social networks and for affiliation structures. We also sketch some next steps in the development of this framework.
Number 168, Winter 2004, special issue: Social networks
Language  English
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