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Journal of the Royal Statistical Society Series C (Applied Statistics)
Article . 2013 . Peer-reviewed
License: OUP Standard Publication Reuse
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zbMATH Open
Article . 2013
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Hierarchical Longitudinal Models of Relationships in Social Networks

Hierarchical longitudinal models of relationships in social networks
Authors: Paul, Sudeshna; O'Malley, A. James;

Hierarchical Longitudinal Models of Relationships in Social Networks

Abstract

SummaryMotivated by the need to understand the dynamics of relationship formation and dissolution over time in real world social networks we develop a new longitudinal model for transitions in the relationship status of pairs of individuals (‘dyads’). We first specify a model for the relationship status of a single dyad and then extend it to account for important interdyad dependences (e.g. transitivity—‘a friend of a friend is a friend’) and heterogeneity. Model parameters are estimated by using Bayesian analysis implemented via Markov chain Monte Carlo sampling. We use the model to perform novel analyses of two diverse longitudinal friendship networks: an excerpt of the Teenage Friends and Lifestyle Study (a moderately sized network) and the Framingham Heart Study (a large network).

Related Organizations
Keywords

longitudinal model, latent variables, Applications of statistics, transitivity, Bayesian, social networks and health, dyadic independence

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
14
Top 10%
Average
Top 10%
hybrid