Table 1 Network effects included in the Stochastic Actor-oriented Models
Network effect | Equation | Visual representation |
|---|---|---|
Outdegree | \(\sum\limits_{j} {x_{ij} }\) |
|
Dyadic reciprocity | \(\sum\limits_{j} {x_{ij} x_{ji} }\) |
|
Indegree popularity (sqrt) | \(\sum\limits_{j} {x_{ij} \sqrt {x_{ + j} } }\) |
|
Outdegree popularity (sqrt) | \(\sum\limits_{j} {x_{ij} \sqrt {x_{j + } } }\) |
|
Outdegree activity (sqrt) | \(\left( {x_{i + } } \right)^{1.5}\) |
|
Transitive triads | \(\sum\limits_{j,h} {x_{ih} x_{ij} x_{jh} }\) |
|
Cyclic triads | \(\sum\limits_{j,h} {x_{ij} x_{jh} x_{hi} }\) |
|
Transitive reciprocated triads | \(\sum\limits_{j,h} {x_{hi} x_{ih} x_{ij} x_{jh} }\) |
|
GWDSP—mixed-stars | \(\sum\limits_{h = 1;h \ne i}^{n} {e^{\alpha } \left\{ {1 - \left( {1 - e^{ - \alpha } } \right)\sum\limits_{j = 1}^{n} {x_{ij} x_{jh} } } \right\}}\) |
|
GWDSP—in-stars | \(\sum\limits_{h = 1;h \ne i}^{n} {e^{\alpha } \left\{ {1 - \left( {1 - e^{ - \alpha } } \right)\sum\limits_{j = 1}^{n} {x_{ij} x_{hj} } } \right\}}\) |
|
