Network centrality
Summarise a graph of nodes and the links between them.
When to use it
Use this when the rows are relationships, not people-by-variable scores. An edge list has a source column and a target column. An adjacency block is a square set of columns, one per node. The result is who is central, how dense the graph is, and how it splits into communities.
Assumptions
Give either an edge list or adjacency columns, not a vague mix. Node names are read as text. An optional weight column is numeric. A graph with no nodes is an error. Centrality uses an undirected reading of the links.
Running it in Tensr
Options
Prop
Type
Reading the output
A 12-person class. An edge is a study link, kept when a seeded draw fell under 0.28, with a weight from 1 to 4. Centrality is descriptive.
| Node | Degree | Betweenness | Closeness | Eigenvector |
|---|---|---|---|---|
| s1 | 0.273 | 0.091 | 0.524 | 0.168 |
| s2 | 0.455 | 0.127 | 0.611 | 0.434 |
| s4 | 0.273 | 0.036 | 0.44 | 0.127 |
| s10 | 0.455 | 0.218 | 0.611 | 0.297 |
| s3 | 0.364 | 0.091 | 0.579 | 0.338 |
| s7 | 0.273 | 0.136 | 0.55 | 0.236 |
| s11 | 0.182 | 0 | 0.458 | 0.164 |
| s12 | 0.364 | 0.055 | 0.579 | 0.437 |
Network with 12 nodes and 22 edges. Network with 12 nodes and 22 edges. Metrics: Nodes = 12; Edges = 22; Density = 0.333; Components = 1; Modularity = 0.251.
Reporting (APA 7)
Network with 12 nodes and 22 edges. Report the estimate in the table. This procedure is not summarised by one p-value.
Coming from SPSS
The product menu is Analyze → Network → Centrality. SPSS does not have this dialog. The spring layout is a scatter of nodes, with a fixed seed so the picture does not jump between runs.