Standard Network Analysis: event x event

Standard Network Analysis: event x event

Input data: event x event

Start time: Thu Nov 17 13:53:23 2011

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Network Level Measures

MeasureValue
Row count14.000
Column count14.000
Link count15.000
Density0.082
Components of 1 node (isolates)0
Components of 2 nodes (dyadic isolates)0
Components of 3 or more nodes1
Reciprocity0.000
Characteristic path length2.923
Clustering coefficient0.000
Network levels (diameter)7.000
Network fragmentation0.000
Krackhardt connectedness1.000
Krackhardt efficiency0.974
Krackhardt hierarchy1.000
Krackhardt upperboundedness1.000
Degree centralization0.038
Betweenness centralization0.090
Closeness centralization0.249
Eigenvector centralization0.299
Reciprocal (symmetric)?No (0% of the links are reciprocal)

Node Level Measures

MeasureMinMaxAvgStddev
Total degree centrality0.0380.1150.0820.020
Total degree centrality [Unscaled]1.0003.0002.1430.515
In-degree centrality0.0000.1540.0820.035
In-degree centrality [Unscaled]0.0002.0001.0710.457
Out-degree centrality0.0000.1540.0820.035
Out-degree centrality [Unscaled]0.0002.0001.0710.457
Eigenvector centrality0.0890.6020.3460.153
Eigenvector centrality [Unscaled]0.0630.4260.2440.108
Eigenvector centrality per component0.0630.4260.2440.108
Closeness centrality0.0710.2280.1170.056
Closeness centrality [Unscaled]0.0050.0180.0090.004
In-Closeness centrality0.0710.3020.1120.055
In-Closeness centrality [Unscaled]0.0050.0230.0090.004
Betweenness centrality0.0000.1410.0570.041
Betweenness centrality [Unscaled]0.00022.0008.9296.453
Hub centrality0.0000.5770.2470.286
Authority centrality0.0000.5770.2470.286
Information centrality0.0000.1050.0710.023
Information centrality [Unscaled]0.0000.9900.6730.214
Clique membership count0.0000.0000.0000.000
Simmelian ties0.0000.0000.0000.000
Simmelian ties [Unscaled]0.0000.0000.0000.000
Clustering coefficient0.0000.0000.0000.000

Key Nodes

This chart shows the Event that is repeatedly top-ranked in the measures listed below. The value shown is the percentage of measures for which the Event was ranked in the top three.

Total degree centrality

The Total Degree Centrality of a node is the normalized sum of its row and column degrees. Individuals or organizations who are "in the know" are those who are linked to many others and so, by virtue of their position have access to the ideas, thoughts, beliefs of many others. Individuals who are "in the know" are identified by degree centrality in the relevant social network. Those who are ranked high on this metrics have more connections to others in the same network. The scientific name of this measure is total degree centrality and it is calculated on the agent by agent matrices.

Input network: event x event (size: 14, density: 0.0824176)

RankEventValueUnscaledContext*
1revanna_meeting0.1153.0000.449
2summit_meeting0.1153.0000.449
3escape_summit0.1153.0000.449
4revanna_bombardment0.0772.000-0.075
5sgc_meeting0.0772.000-0.075
6gate_attack0.0772.000-0.075
7replace_jarren0.0772.000-0.075
8escape_tunnels0.0772.000-0.075
9bring_crystals_to_sgc0.0772.000-0.075
10osiris_arrives0.0772.000-0.075

* Number of standard deviations from the mean of a random network of the same size and density

Mean: 0.082Mean in random network: 0.082
Std.dev: 0.020Std.dev in random network: 0.073

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In-degree centrality

The In Degree Centrality of a node is its normalized in-degree. For any node, e.g. an individual or a resource, the in-links are the connections that the node of interest receives from other nodes. For example, imagine an agent by knowledge matrix then the number of in-links a piece of knowledge has is the number of agents that are connected to. The scientific name of this measure is in-degree and it is calculated on the agent by agent matrices.

Input network(s): event x event

RankEventValueUnscaled
1bring_crystals_to_sgc0.1542.000
2escape_summit0.1542.000
3revanna_meeting0.0771.000
4summit_meeting0.0771.000
5revanna_bombardment0.0771.000
6sgc_meeting0.0771.000
7gate_attack0.0771.000
8replace_jarren0.0771.000
9escape_tunnels0.0771.000
10osiris_arrives0.0771.000

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Out-degree centrality

For any node, e.g. an individual or a resource, the out-links are the connections that the node of interest sends to other nodes. For example, imagine an agent by knowledge matrix then the number of out-links an agent would have is the number of pieces of knowledge it is connected to. The scientific name of this measure is out-degree and it is calculated on the agent by agent matrices. Individuals or organizations who are high in most knowledge have more expertise or are associated with more types of knowledge than are others. If no sub-network connecting agents to knowledge exists, then this measure will not be calculated. The scientific name of this measure is out degree centrality and it is calculated on agent by knowledge matrices. Individuals or organizations who are high in "most resources" have more resources or are associated with more types of resources than are others. If no sub-network connecting agents to resources exists, then this measure will not be calculated. The scientific name of this measure is out degree centrality and it is calculated on agent by resource matrices.

Input network(s): event x event

RankEventValueUnscaled
1revanna_meeting0.1542.000
2summit_meeting0.1542.000
3revanna_bombardment0.0771.000
4sgc_meeting0.0771.000
5gate_attack0.0771.000
6tollana_attack0.0771.000
7replace_jarren0.0771.000
8escape_tunnels0.0771.000
9osiris_arrives0.0771.000
10drug_osiris0.0771.000

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Eigenvector centrality

Calculates the principal eigenvector of the network. A node is central to the extent that its neighbors are central. Leaders of strong cliques are individuals who or organizations who are collected to others that are themselves highly connected to each other. In other words, if you have a clique then the individual most connected to others in the clique and other cliques, is the leader of the clique. Individuals or organizations who are connected to many otherwise isolated individuals or organizations will have a much lower score in this measure then those that are connected to groups that have many connections themselves. The scientific name of this measure is eigenvector centrality and it is calculated on agent by agent matrices.

Input network: event x event (size: 14, density: 0.0824176)

RankEventValueUnscaledContext*
1summit_meeting0.6020.4260.933
2escape_summit0.5590.3950.812
3poison_summit0.5050.3570.662
4osiris_arrives0.4530.3200.518
5drug_osiris0.4400.3110.482
6replace_jarren0.4280.3020.449
7revanna_meeting0.3820.2700.322
8bring_crystals_to_sgc0.3410.2410.208
9revanna_bombardment0.2460.174-0.055
10gate_attack0.2260.160-0.112

* Number of standard deviations from the mean of a random network of the same size and density

Mean: 0.346Mean in random network: 0.266
Std.dev: 0.153Std.dev in random network: 0.360

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Eigenvector centrality per component

Calculates the principal eigenvector of the network. A node is central to the extent that its neighbors are central. Each component is extracted as a separate network, Eigenvector Centrality is computed on it and scaled according to the component size. The scores are then combined into a single result vector.

Input network(s): event x event

RankEventValue
1summit_meeting0.426
2escape_summit0.395
3poison_summit0.357
4osiris_arrives0.320
5drug_osiris0.311
6replace_jarren0.302
7revanna_meeting0.270
8bring_crystals_to_sgc0.241
9revanna_bombardment0.174
10gate_attack0.160

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Closeness centrality

The average closeness of a node to the other nodes in a network (also called out-closeness). Loosely, Closeness is the inverse of the average distance in the network from the node to all other nodes.

Input network: event x event (size: 14, density: 0.0824176)

RankEventValueUnscaledContext*
1tollana_attack0.2280.0181.628
2sgc_meeting0.2240.0171.491
3revanna_meeting0.2170.0171.229
4replace_jarren0.1150.009-2.329
5summit_meeting0.1070.008-2.595
6revanna_bombardment0.0960.007-3.010
7osiris_arrives0.0890.007-3.240
8obtain_data_crystal0.0890.007-3.240
9escape_tunnels0.0830.006-3.458
10drug_osiris0.0830.006-3.458

* Number of standard deviations from the mean of a random network of the same size and density

Mean: 0.117Mean in random network: 0.182
Std.dev: 0.056Std.dev in random network: 0.029

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In-Closeness centrality

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

Input network(s): event x event

RankEventValueUnscaled
1bring_crystals_to_sgc0.3020.023
2escape_summit0.1380.011
3gate_attack0.1090.008
4drug_osiris0.1090.008
5escape_tunnels0.1020.008
6osiris_arrives0.1020.008
7poison_summit0.1020.008
8summit_meeting0.0960.007
9obtain_data_crystal0.0960.007
10revanna_bombardment0.0890.007

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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. Individuals or organizations that are potentially influential are positioned to broker connections between groups and to bring to bear the influence of one group on another or serve as a gatekeeper between groups. This agent occurs on many of the shortest paths between other agents. The scientific name of this measure is betweenness centrality and it is calculated on agent by agent matrices.

Input network: event x event (size: 14, density: 0.0824176)

RankEventValueUnscaledContext*
1revanna_meeting0.14122.000-0.066
2summit_meeting0.11918.500-0.185
3replace_jarren0.10616.500-0.253
4sgc_meeting0.07712.000-0.405
5revanna_bombardment0.06710.500-0.456
6obtain_data_crystal0.06710.500-0.456
7escape_tunnels0.0548.500-0.524
8poison_summit0.0548.500-0.524
9escape_summit0.0426.500-0.591
10osiris_arrives0.0325.000-0.642

* Number of standard deviations from the mean of a random network of the same size and density

Mean: 0.057Mean in random network: 0.154
Std.dev: 0.041Std.dev in random network: 0.189

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Hub centrality

A node is hub-central to the extent that its out-links are to nodes that have many in-links. Individuals or organizations that act as hubs are sending information to a wide range of others each of whom has many others reporting to them. Technically, an agent is hub-central if its out-links are to agents that have many other agents sending links to them. The scientific name of this measure is hub centrality and it is calculated on agent by agent matrices.

Input network(s): event x event

RankEventValue
1revanna_meeting0.577
2summit_meeting0.577
3gate_attack0.577
4drug_osiris0.577
5escape_summit0.577
6poison_summit0.577
7revanna_bombardment0.000
8sgc_meeting0.000
9tollana_attack0.000
10replace_jarren0.000

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Authority centrality

A node is authority-central to the extent that its in-links are from nodes that have many out-links. Individuals or organizations that act as authorities are receiving information from a wide range of others each of whom sends information to a large number of others. Technically, an agent is authority-central if its in-links are from agents that have are sending links to many others. The scientific name of this measure is authority centrality and it is calculated on agent by agent matrices.

Input network(s): event x event

RankEventValue
1revanna_bombardment0.577
2replace_jarren0.577
3bring_crystals_to_sgc0.577
4osiris_arrives0.577
5escape_summit0.577
6poison_summit0.577
7revanna_meeting0.000
8summit_meeting0.000
9sgc_meeting0.000
10gate_attack0.000

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Information centrality

Calculate the Stephenson and Zelen information centrality measure for each node.

Input network(s): event x event

RankEventValueUnscaled
1revanna_meeting0.1050.990
2summit_meeting0.1020.957
3sgc_meeting0.0750.709
4obtain_data_crystal0.0750.704
5revanna_bombardment0.0740.698
6replace_jarren0.0740.698
7escape_tunnels0.0730.686
8osiris_arrives0.0720.678
9drug_osiris0.0710.670
10escape_summit0.0710.670

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Clique membership count

The number of distinct cliques to which each node belongs. Individuals or organizations who are high in number of cliques are those that belong to a large number of distinct cliques. A clique is defined as a group of three or more actors that have many connections to each other and relatively fewer connections to those in other groups. The scientific name of this measure is clique count and it is calculated on the agent by agent matrices.

Input network(s): event x event

RankEventValue
1All nodes have this value0.000

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Simmelian ties

The normalized number of Simmelian ties of each node.

Input network(s): event x event

RankEventValueUnscaled
1All nodes have this value0.000

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Clustering coefficient

Measures the degree of clustering in a network by averaging the clustering coefficient of each node, which is defined as the density of the node's ego network.

Input network(s): event x event

RankEventValue
1All nodes have this value0.000

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Key Nodes Table

This shows the top scoring nodes side-by-side for selected measures.

RankBetweenness centralityCloseness centralityEigenvector centralityEigenvector centrality per componentIn-degree centralityIn-Closeness centralityOut-degree centralityTotal degree centrality
1revanna_meetingtollana_attacksummit_meetingsummit_meetingbring_crystals_to_sgcbring_crystals_to_sgcrevanna_meetingrevanna_meeting
2summit_meetingsgc_meetingescape_summitescape_summitescape_summitescape_summitsummit_meetingsummit_meeting
3replace_jarrenrevanna_meetingpoison_summitpoison_summitrevanna_meetinggate_attackrevanna_bombardmentescape_summit
4sgc_meetingreplace_jarrenosiris_arrivesosiris_arrivessummit_meetingdrug_osirissgc_meetingrevanna_bombardment
5revanna_bombardmentsummit_meetingdrug_osirisdrug_osirisrevanna_bombardmentescape_tunnelsgate_attacksgc_meeting
6obtain_data_crystalrevanna_bombardmentreplace_jarrenreplace_jarrensgc_meetingosiris_arrivestollana_attackgate_attack
7escape_tunnelsosiris_arrivesrevanna_meetingrevanna_meetinggate_attackpoison_summitreplace_jarrenreplace_jarren
8poison_summitobtain_data_crystalbring_crystals_to_sgcbring_crystals_to_sgcreplace_jarrensummit_meetingescape_tunnelsescape_tunnels
9escape_summitescape_tunnelsrevanna_bombardmentrevanna_bombardmentescape_tunnelsobtain_data_crystalosiris_arrivesbring_crystals_to_sgc
10osiris_arrivesdrug_osirisgate_attackgate_attackosiris_arrivesrevanna_bombardmentdrug_osirisosiris_arrives