András Vörös
Department of Social Statistics, University of Manchester
SOST71032 Social Network AnalysisSpecial Needs Assistance
Introduction to Exponential Random Graph Models (ERGMs)
The tie-level model and parameter interpretation
E.g. we believe in the following model:
# ties – parameter: – (θ1 < 0)
# reciprocated ties – parameter: + (θ2 > 0)
# transitive triads – parameter: + (θ3 > 0)
no further statistics matter (θk = 0, for k > 3)
Which network is more probable?
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Which network is more probable?
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Which network is more probable?
Approach the problem of inference about the theoretical model from the „contribution”
of a single tie to the probability of observing the network! (conditional probability)
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The tie-level model
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The tie-level model