STANDARD NETWORK ANALYSIS REPORT

STANDARD NETWORK ANALYSIS REPORT

Input data: davis

Start time: Sun Oct 05 10:46:38 2008

Calculates common social network measures on each selected input network.

Analysis for the Meta-Network

Individual entity classes have been combined into a single class, and all networks are combined to create a single network. If two networks connect the same entities, e.g. two agent x agent, then the links are combined. Link weights are made binary.

Row count32
Column count32
Link count89
Density0.08972
Isolate count0
Component count1
Reciprocity0
Characteristic path length1
Clustering coefficient0
Network levels (diameter)1
Network fragmentation0
Krackhardt connectedness1
Krackhardt efficiency0.8753
Krackhardt hierarchy1
Krackhardt upperboundedness0.2667
Degree centralization0.1452
Betweenness centralization0
Closeness centralization0.01486
MinMaxAverageStddev
Total degree centrality0.032260.22580.089720.04596
Total degree centrality (unscaled)2145.5632.85
Eigenvector centrality0.137310.45130.1997
Hub centrality010.33620.3384
Authority centrality010.20530.2821
Betweenness centrality0000
Betweenness centrality (unscaled)0000
Information centrality00.074420.031250.02958
Information centrality (unscaled)03.9451.6571.568
Clique membership count0000
Simmelian ties0000
Simmelian ties (unscaled)0000
Clustering coefficient0000

Key nodes

This chart shows the Nodes that repeatedly rank in the top three in the measures. The value shown is the percentage of measures for which the Nodes was ranked in the top three.

In-degree centrality

The In Degree Centrality of a node is its normalized in-degree.

Input network(s): meta-network

RankValueUnscaledNodes
10.45161314E8
20.38709712E9
30.32258110E7
40.2580658E5
50.2580658E6
60.1935486E3
70.1935486E12
80.161295E10
90.1290324E4
100.1290324E11

Out-degree centrality

The Out Degree Centrality of a node is its normalized out-degree.

Input network(s): meta-network

RankValueUnscaledNodes
10.2580658EVELYN
20.2580658THERESA
30.2580658NORA
40.2258067LAURA
50.2258067BRENDA
60.2258067SYLVIA
70.1935486KATHERINE
80.161295HELEN
90.1290324CHARLOTTE
100.1290324FRANCES

Total degree centrality

The Total Degree Centrality of a node is the normalized sum of its row and column degrees.

Input network(s): meta-network

Input network size: 32

Input network density: 0.0897177

Expected value from a random network of the same size and density: 0.0897177

RankValueUnscaledNodesContext*
10.22580614E82.69383
20.19354812E92.05529
30.1612910E71.41675
40.1290328EVELYN0.778217
50.1290328THERESA0.778217
60.1290328NORA0.778217
70.1290328E50.778217
80.1290328E60.778217
90.1129037LAURA0.458948
100.1129037BRENDA0.458948
* Number of standard deviations from the mean if links were distributed randomly
Mean: 0.0897177
Std.dev: 0.0505187

Eigenvector centrality

Calculates the principal eigenvector of the network. A node is central to the extent that its neighbors are central.

Input network(s): meta-network

Input network size: 32

Input network density: 0.0897177

Expected value from a random network of the same size and density: 0.390478

RankValueNodesContext*
11E82.16265
20.756965E71.30033
30.749049E91.27225
40.731425THERESA1.20972
50.660704EVELYN0.95879
60.646661E60.908964
70.635043E50.867745
80.617822BRENDA0.806642
90.610353LAURA0.780142
100.547092SYLVIA0.555684
* Number of standard deviations from the mean if links were distributed randomly
Mean: 0.390478
Std.dev: 0.28184

Betweenness centrality

The Betweenness Centrality of node v in a network is defined as: across all node pairs that have a shortest path containing v, the percentage that pass through v.

Input network(s): meta-network

Input network size: 32

Input network density: 0.0897177

Expected value from a random network of the same size and density: 0.0623155

RankValueUnscaledNodesContext*
100All nodes have this value
* Number of standard deviations from the mean if links were distributed randomly
Mean: 0.0623155
Std.dev: 0.0941021

Closeness centrality

The average closeness of a node to the other nodes in a network. Loosely, Closeness is the inverse of the average distance in the network between the node and all other nodes.

Input network(s): meta-network

Input network size: 32

Input network density: 0.0897177

Expected value from a random network of the same size and density: 0.28854

RankValueUnscaledNodesContext*
10.04166670.00134409EVELYN-4.27322
20.04166670.00134409THERESA-4.27322
30.04166670.00134409NORA-4.27322
40.040.00129032LAURA-4.30207
50.040.00129032BRENDA-4.30207
60.040.00129032SYLVIA-4.30207
70.03846150.00124069KATHERINE-4.3287
80.0370370.00119474HELEN-4.35335
90.03571430.00115207CHARLOTTE-4.37625
100.03571430.00115207FRANCES-4.37625
* Number of standard deviations from the mean if links were distributed randomly
Mean: 0.28854
Std.dev: 0.0577722

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