Exploratory Social Network Analysis

Ranking

Ranking

PrestigeContinuous Scale For Each Actor

Overall Discrete Class Social Strata Social ClassWorking, Middle, Upper

Social RankingFormal e.g. ArmyInformal

Opinions & Behavior of People toward each other: Respect & Deference Vs. Disrespect & Dominance Sociometry

Comparison: Deviation of Society from the Official Communication Structure.

Rephrase Balance Theory

• Symmetric Relationships: DYAD• Love• Hate

• Reciprocation! • Mutual Same Strata Same Rank• Null Different Strata Same Rank• Asym Strata Ranking

Triadic AnalysisM-A-N Number

M Mutual DyadsA Rank DyadsN Null Dyads[letter] Asymmetric Choices Direction in Same Digits

Down, Up, Cyclic, Transitive

Ties within Clusters

Ties between Ranks Permitted Triads

Balance

Symmetric ties within a cluster, no ties between clusters max. two clusters

None

ClusterabilityIdem no restriction on the number of clusters

Idem

Rank Idem

Asymmetric ties from each vertex to all vertices on higher ranks

Transitive IdemNull ties may occur between ranks

Hierarchical

Asymmetric ties within a cluster allowed provided that they are acyclic

Idem +120C, 210

No Balance Theoretic Model (Forbidden)

    021C, 111D, 111U, 030C, 201

+ sign indicates that all triads in previous rows are also permitted

Stratum Membership

Micro 2 Macro Scope Triadic Census

Acyclic NetworkGO Beyond Dyads & Triads Strong Component

Strong Component Form Mutual Love!Each Node in Strong Component has Directed to Others Symmetrically

Ranking in ComponentsShrink Strong Components Acyclic Network Asymmetric Love!

Symmetric-Acyclic

In Strong Component

Each Step of a Path

Mutual Dyad.

Triadic Analysis

Info > Network > Triadic Census

Acyclic Network

Net > Components > Strong

Operations > Shrink Network > Partition

Symmetric-Acyclic Decomposition

Net > Hierarchical Decomposition > Symmetric-Acyclic.

Find the original network vertices in the resulting symmetric acyclic clusters.

Partitions > Expand