Standard Network Analysis: task x task

Standard Network Analysis: task x task

Input data: task x task

Start time: Thu Nov 17 13:53:47 2011

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Network Level Measures

MeasureValue
Row count18.000
Column count18.000
Link count18.000
Density0.059
Components of 1 node (isolates)0
Components of 2 nodes (dyadic isolates)0
Components of 3 or more nodes1
Reciprocity0.000
Characteristic path length3.649
Clustering coefficient0.000
Network levels (diameter)8.000
Network fragmentation0.000
Krackhardt connectedness1.000
Krackhardt efficiency0.993
Krackhardt hierarchy1.000
Krackhardt upperboundedness0.963
Degree centralization0.066
Betweenness centralization0.170
Closeness centralization0.130
Eigenvector centralization0.397
Reciprocal (symmetric)?No (0% of the links are reciprocal)

Node Level Measures

MeasureMinMaxAvgStddev
Total degree centrality0.0290.1180.0590.026
Total degree centrality [Unscaled]1.0004.0002.0000.882
In-degree centrality0.0000.1760.0590.039
In-degree centrality [Unscaled]0.0003.0001.0000.667
Out-degree centrality0.0000.1180.0590.034
Out-degree centrality [Unscaled]0.0002.0001.0000.577
Eigenvector centrality0.0230.6250.2720.193
Eigenvector centrality [Unscaled]0.0160.4420.1920.136
Eigenvector centrality per component0.0160.4420.1920.136
Closeness centrality0.0560.1500.0910.038
Closeness centrality [Unscaled]0.0030.0090.0050.002
In-Closeness centrality0.0560.1100.0820.017
In-Closeness centrality [Unscaled]0.0030.0060.0050.001
Betweenness centrality0.0000.2210.0600.065
Betweenness centrality [Unscaled]0.00060.00016.33317.739
Hub centrality0.0000.8160.1360.304
Authority centrality0.0001.4140.0790.324
Information centrality0.0000.0960.0560.027
Information centrality [Unscaled]0.0001.1350.6540.319
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 Task that is repeatedly top-ranked in the measures listed below. The value shown is the percentage of measures for which the Task 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: task x task (size: 18, density: 0.0588235)

RankTaskValueUnscaledContext*
1present_plan_to_sgc0.1184.0001.061
2infiltrate_summit0.0883.0000.530
3revenna_briefing0.0883.0000.530
4defend_revenna0.0883.0000.530
5find_tunnel_crystals0.0883.0000.530
6fly_ship_to_yuWorld0.0592.0000.000
7replace_jerran0.0592.0000.000
8create_memory_drug0.0592.0000.000
9fly_ship_to_summit0.0592.0000.000
10find_ring_room0.0592.0000.000

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

Mean: 0.059Mean in random network: 0.059
Std.dev: 0.026Std.dev in random network: 0.055

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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): task x task

RankTaskValueUnscaled
1present_plan_to_sgc0.1763.000
2find_tunnel_crystals0.1182.000
3poison_summit0.0591.000
4infiltrate_summit0.0591.000
5fly_ship_to_yuWorld0.0591.000
6poison_jaffa_at_gate0.0591.000
7replace_jerran0.0591.000
8create_memory_drug0.0591.000
9spy_on_summit0.0591.000
10fly_ship_to_summit0.0591.000

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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): task x task

RankTaskValueUnscaled
1infiltrate_summit0.1182.000
2revenna_briefing0.1182.000
3defend_revenna0.1182.000
4fly_ship_to_yuWorld0.0591.000
5create_poison0.0591.000
6replace_jerran0.0591.000
7create_memory_drug0.0591.000
8present_plan_to_sgc0.0591.000
9inflitrate_yuWorld0.0591.000
10fly_ship_to_summit0.0591.000

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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: task x task (size: 18, density: 0.0588235)

RankTaskValueUnscaledContext*
1defend_revenna0.6250.4421.178
2revenna_briefing0.6020.4261.109
3present_plan_to_sgc0.5310.3760.899
4find_tunnel_crystals0.5140.3640.849
5hide_data_crystal0.4110.2910.541
6retrieve_data_crystal0.3790.2680.445
7fly_ship_to_yuWorld0.3140.2220.253
8create_memory_drug0.2610.1850.095
9find_ring_room0.2530.1790.071
10inflitrate_yuWorld0.2170.154-0.035

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

Mean: 0.272Mean in random network: 0.229
Std.dev: 0.193Std.dev in random network: 0.336

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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): task x task

RankTaskValue
1defend_revenna0.442
2revenna_briefing0.426
3present_plan_to_sgc0.376
4find_tunnel_crystals0.364
5hide_data_crystal0.291
6retrieve_data_crystal0.268
7fly_ship_to_yuWorld0.222
8create_memory_drug0.185
9find_ring_room0.179
10inflitrate_yuWorld0.154

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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: task x task (size: 18, density: 0.0588235)

RankTaskValueUnscaledContext*
1get_reole_chemical0.1500.0091.642
2create_poison0.1470.0091.442
3create_memory_drug0.1470.0091.442
4inflitrate_yuWorld0.1470.0091.442
5present_plan_to_sgc0.1420.0081.190
6revenna_briefing0.1360.0080.898
7defend_revenna0.0760.004-2.217
8fly_ship_to_yuWorld0.0740.004-2.302
9replace_jerran0.0700.004-2.505
10hide_data_crystal0.0700.004-2.520

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

Mean: 0.091Mean in random network: 0.119
Std.dev: 0.038Std.dev in random network: 0.019

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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): task x task

RankTaskValueUnscaled
1poison_jaffa_at_gate0.1100.006
2find_ring_room0.1050.006
3find_tunnel_crystals0.1000.006
4poison_summit0.0970.006
5spy_on_summit0.0970.006
6infiltrate_summit0.0920.005
7fly_ship_to_summit0.0880.005
8retrieve_data_crystal0.0880.005
9replace_jerran0.0840.005
10hide_data_crystal0.0840.005

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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: task x task (size: 18, density: 0.0588235)

RankTaskValueUnscaledContext*
1revenna_briefing0.22160.0000.297
2present_plan_to_sgc0.19152.0000.196
3fly_ship_to_yuWorld0.11030.000-0.083
4defend_revenna0.11030.000-0.083
5replace_jerran0.10328.000-0.109
6fly_ship_to_summit0.08824.000-0.159
7infiltrate_summit0.06618.000-0.235
8find_tunnel_crystals0.06618.000-0.235
9create_memory_drug0.05114.000-0.286
10find_ring_room0.03710.000-0.337

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

Mean: 0.060Mean in random network: 0.134
Std.dev: 0.065Std.dev in random network: 0.290

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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): task x task

RankTaskValue
1create_poison0.816
2create_memory_drug0.816
3inflitrate_yuWorld0.816
4defend_revenna0.000
5retrieve_data_crystal0.000
6infiltrate_summit0.000
7revenna_briefing0.000
8fly_ship_to_yuWorld0.000
9replace_jerran0.000
10present_plan_to_sgc0.000

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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): task x task

RankTaskValue
1present_plan_to_sgc1.414
2find_tunnel_crystals0.000
3hide_data_crystal0.000
4poison_summit0.000
5fly_ship_to_yuWorld0.000
6spy_on_summit0.000
7defend_revenna0.000
8infiltrate_summit0.000
9poison_jaffa_at_gate0.000
10replace_jerran0.000

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Information centrality

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

Input network(s): task x task

RankTaskValueUnscaled
1revenna_briefing0.0961.135
2defend_revenna0.0881.031
3infiltrate_summit0.0800.941
4present_plan_to_sgc0.0740.869
5fly_ship_to_yuWorld0.0630.743
6find_tunnel_crystals0.0630.743
7replace_jerran0.0620.729
8create_memory_drug0.0610.724
9hide_data_crystal0.0610.724
10retrieve_data_crystal0.0610.724

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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): task x task

RankTaskValue
1All nodes have this value0.000

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Simmelian ties

The normalized number of Simmelian ties of each node.

Input network(s): task x task

RankTaskValueUnscaled
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): task x task

RankTaskValue
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
1revenna_briefingget_reole_chemicaldefend_revennadefend_revennapresent_plan_to_sgcpoison_jaffa_at_gateinfiltrate_summitpresent_plan_to_sgc
2present_plan_to_sgccreate_poisonrevenna_briefingrevenna_briefingfind_tunnel_crystalsfind_ring_roomrevenna_briefinginfiltrate_summit
3fly_ship_to_yuWorldcreate_memory_drugpresent_plan_to_sgcpresent_plan_to_sgcpoison_summitfind_tunnel_crystalsdefend_revennarevenna_briefing
4defend_revennainflitrate_yuWorldfind_tunnel_crystalsfind_tunnel_crystalsinfiltrate_summitpoison_summitfly_ship_to_yuWorlddefend_revenna
5replace_jerranpresent_plan_to_sgchide_data_crystalhide_data_crystalfly_ship_to_yuWorldspy_on_summitcreate_poisonfind_tunnel_crystals
6fly_ship_to_summitrevenna_briefingretrieve_data_crystalretrieve_data_crystalpoison_jaffa_at_gateinfiltrate_summitreplace_jerranfly_ship_to_yuWorld
7infiltrate_summitdefend_revennafly_ship_to_yuWorldfly_ship_to_yuWorldreplace_jerranfly_ship_to_summitcreate_memory_drugreplace_jerran
8find_tunnel_crystalsfly_ship_to_yuWorldcreate_memory_drugcreate_memory_drugcreate_memory_drugretrieve_data_crystalpresent_plan_to_sgccreate_memory_drug
9create_memory_drugreplace_jerranfind_ring_roomfind_ring_roomspy_on_summitreplace_jerraninflitrate_yuWorldfly_ship_to_summit
10find_ring_roomhide_data_crystalinflitrate_yuWorldinflitrate_yuWorldfly_ship_to_summithide_data_crystalfly_ship_to_summitfind_ring_room