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Exploratory Social Network Analysis with Pajek: Blockmodels

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Exploratory Social Network Analysis Chapter 12: Blockmodels
9
Blockmodels Exploratory Social Network Analysis, Part V, Chapter XII
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Page 1: Exploratory Social Network Analysis with Pajek: Blockmodels

Blockmodels

Exploratory Social Network Analysis, Part V, Chapter XII

Page 2: Exploratory Social Network Analysis with Pajek: Blockmodels

Modeling View Change

Page 3: Exploratory Social Network Analysis with Pajek: Blockmodels

What’s the Advantage?

Page 4: Exploratory Social Network Analysis with Pajek: Blockmodels

Definitions• Adjacency Matrix

• Incident Matrix 2-Mode Nets

• Isomorphic Network Renumbering

• Permutation

Page 5: Exploratory Social Network Analysis with Pajek: Blockmodels

Defining the Clusters Blocks

Structural Equivalence • Complete Block• Null Block• Image Matrix

Core Periphery

Core Complete Complete

Periphery Complete Null with Error

Image MatrixShrunk Net

Page 6: Exploratory Social Network Analysis with Pajek: Blockmodels

Dissimilarity

Dendrogram: hierarchical clustering

Dissimilarity Score

Page 7: Exploratory Social Network Analysis with Pajek: Blockmodels

Example: Metal Exportation

Page 8: Exploratory Social Network Analysis with Pajek: Blockmodels

Generalized Equivalence

Generalized BlockmodelingRegular Equivalence

• A regular block contains at least one arc in each row and in each column• Example: All the Ministers Advise PM

Advisors Must Advise at Least 1 Minister

User Defined

Page 9: Exploratory Social Network Analysis with Pajek: Blockmodels

Adjacency MatrixDouble Click

Permutations: Operations > Partition + Permutation > Reorder Partition & Partition > Make a Permutation

DissimilarityCluster > Create Complete Cluster.Operations > Network + Cluster > Dissimilarity. Operations > Network + Cluster > Dissimilarity > Network based > Options > Report Matrix

BlockmodelingNetwork > Create Partition > Blockmodeling* Partitions > Info > Cramer’s V, Rajski.


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