1976
DOI: 10.1086/226141
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Social Structure from Multiple Networks. I. Blockmodels of Roles and Positions

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Cited by 1,737 publications
(761 citation statements)
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References 54 publications
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“…Stochastic block model [84,85,86,87] is one of the most general network models, where nodes are partitioned into groups and the probability that two nodes are connected depends solely on the groups to which they belong. The stochastic block model can capture the community structure [22], role-to-role connections [88] and maybe other factors for the establishing of connections, especially when the group membership plays the considerable roles in determining how nodes interact with each other, which usually could not be well described by the simple assortativity coefficient [89,90] or the degree-degree correlations Given a partition M where each node belongs to one group and the connecting probability for two nodes respectively in groups α and β is denoted by Q αβ (Q αα represents the probability that two nodes within group α are connected), then the likelihood of the observed network structure is [18]:…”
Section: Stochastic Block Modelmentioning
confidence: 99%
“…Stochastic block model [84,85,86,87] is one of the most general network models, where nodes are partitioned into groups and the probability that two nodes are connected depends solely on the groups to which they belong. The stochastic block model can capture the community structure [22], role-to-role connections [88] and maybe other factors for the establishing of connections, especially when the group membership plays the considerable roles in determining how nodes interact with each other, which usually could not be well described by the simple assortativity coefficient [89,90] or the degree-degree correlations Given a partition M where each node belongs to one group and the connecting probability for two nodes respectively in groups α and β is denoted by Q αβ (Q αα represents the probability that two nodes within group α are connected), then the likelihood of the observed network structure is [18]:…”
Section: Stochastic Block Modelmentioning
confidence: 99%
“…Network analysis found its way into public administration primarily through two channels: organizational studies as exemplified by the works of White et al (1976), Granovetter (1983) and Burt (1992), and political science research focused on…”
Section: The Evolution Of the Network Concept In Public Administrationmentioning
confidence: 99%
“…Addressing this shortcoming, Nadel [30] proposed explicitly including structural positions, providing the foundations for a 'calculus' of roles. This work was extended into block modeling [52], structural equivalence [24], and role coloration [12]. Others have worked on homomorphism [5] and local roles [25] (for a full review of structural role analysis, see [22]).…”
Section: Methods For Social Role Analysismentioning
confidence: 99%
“…This collaboration requires researchers to use the comparative advantages of many disciplines in order to perceive, conceptualize, measure and understand what has unfolded in the electronic interaction order [51]. A key intersection of these scholarly disciplines is the concept of the social role [40] [8] [52] [50].…”
Section: Introductionmentioning
confidence: 99%