Standard Network Analysis: Resource x Resource

Standard Network Analysis: Resource x Resource

Input data: Resource x Resource

Start time: Tue Oct 18 11:52:02 2011

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Network Level Measures

MeasureValue
Row count22.000
Column count22.000
Link count9.000
Density0.039
Components of 1 node (isolates)15
Components of 2 nodes (dyadic isolates)0
Components of 3 or more nodes2
Reciprocity1.000
Characteristic path length1.000
Clustering coefficient0.318
Network levels (diameter)1.000
Network fragmentation0.961
Krackhardt connectedness0.039
Krackhardt efficiency0.000
Krackhardt hierarchy0.000
Krackhardt upperboundedness1.000
Degree centralization0.114
Betweenness centralization0.000
Closeness centralization0.011
Eigenvector centralization0.636
Reciprocal (symmetric)?Yes

Node Level Measures

MeasureMinMaxAvgStddev
Total degree centrality0.0000.1430.0390.059
Total degree centrality [Unscaled]0.0003.0000.8181.230
In-degree centrality0.0000.1430.0390.059
In-degree centrality [Unscaled]0.0003.0000.8181.230
Out-degree centrality0.0000.1430.0390.059
Out-degree centrality [Unscaled]0.0003.0000.8181.230
Eigenvector centrality0.0000.7070.1290.273
Eigenvector centrality [Unscaled]0.0000.5000.0910.193
Eigenvector centrality per component0.0000.0910.0270.040
Closeness centrality0.0450.0530.0470.003
Closeness centrality [Unscaled]0.0020.0030.0020.000
In-Closeness centrality0.0450.0530.0470.003
In-Closeness centrality [Unscaled]0.0020.0030.0020.000
Betweenness centrality0.0000.0000.0000.000
Betweenness centrality [Unscaled]0.0000.0000.0000.000
Hub centrality0.0000.7070.1290.273
Authority centrality0.0000.7070.1290.273
Information centrality-0.0000.1680.0450.069
Information centrality [Unscaled]-0.0000.000-0.0000.000
Clique membership count0.0001.0000.3180.466
Simmelian ties0.0000.1430.0390.059
Simmelian ties [Unscaled]0.0003.0000.8181.230
Clustering coefficient0.0001.0000.3180.466

Key Nodes

This chart shows the Resource that is repeatedly top-ranked in the measures listed below. The value shown is the percentage of measures for which the Resource 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: Resource x Resource (size: 22, density: 0.038961)

RankResourceValueUnscaledContext*
1bomb_material0.1433.0002.518
2bomber0.1433.0002.518
3bomb0.1433.0002.518
4bomb_factory0.1433.0002.518
5ship0.0952.0001.364
6harbor0.0952.0001.364
7u_s_s_cole0.0952.0001.364

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

Mean: 0.039Mean in random network: 0.039
Std.dev: 0.059Std.dev in random network: 0.041

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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): Resource x Resource

RankResourceValueUnscaled
1bomb_material0.1433.000
2bomber0.1433.000
3bomb0.1433.000
4bomb_factory0.1433.000
5ship0.0952.000
6harbor0.0952.000
7u_s_s_cole0.0952.000

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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): Resource x Resource

RankResourceValueUnscaled
1bomb_material0.1433.000
2bomber0.1433.000
3bomb0.1433.000
4bomb_factory0.1433.000
5ship0.0952.000
6harbor0.0952.000
7u_s_s_cole0.0952.000

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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: Resource x Resource (size: 22, density: 0.038961)

RankResourceValueUnscaledContext*
1bomb_material0.7070.5000.385
2bomber0.7070.5000.385
3bomb0.7070.5000.385
4bomb_factory0.7070.5000.385
5ship0.0000.000-1.326
6harbor0.0000.000-1.326
7u_s_s_cole0.0000.000-1.326

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

Mean: 0.129Mean in random network: 0.548
Std.dev: 0.273Std.dev in random network: 0.413

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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): Resource x Resource

RankResourceValue
1bomb_material0.091
2bomber0.091
3bomb0.091
4bomb_factory0.091
5ship0.079
6harbor0.079
7u_s_s_cole0.079

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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: Resource x Resource (size: 22, density: 0.038961)

RankResourceValueUnscaledContext*
1bomb_material0.0530.00316.795
2bomber0.0530.00316.795
3bomb0.0530.00316.795
4bomb_factory0.0530.00316.795
5ship0.0500.00216.567
6harbor0.0500.00216.567
7u_s_s_cole0.0500.00216.567
8money0.0450.00216.174
9telephone0.0450.00216.174
10vehicle0.0450.00216.174

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

Mean: 0.047Mean in random network: -0.141
Std.dev: 0.003Std.dev in random network: 0.012

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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): Resource x Resource

RankResourceValueUnscaled
1bomb_material0.0530.003
2bomber0.0530.003
3bomb0.0530.003
4bomb_factory0.0530.003
5ship0.0500.002
6harbor0.0500.002
7u_s_s_cole0.0500.002
8money0.0450.002
9telephone0.0450.002
10vehicle0.0450.002

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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: Resource x Resource (size: 22, density: 0.038961)

RankResourceValueUnscaledContext*
1All nodes have this value0.000

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

Mean: 0.000Mean in random network: 0.124
Std.dev: 0.000Std.dev in random network: 0.261

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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): Resource x Resource

RankResourceValue
1bomb_material0.707
2bomber0.707
3bomb0.707
4bomb_factory0.707
5ship0.000
6harbor0.000
7u_s_s_cole0.000

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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): Resource x Resource

RankResourceValue
1bomb_material0.707
2bomber0.707
3bomb0.707
4bomb_factory0.707
5ship0.000
6harbor0.000
7u_s_s_cole0.000

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Information centrality

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

Input network(s): Resource x Resource

RankResourceValue
1bomb_material0.168
2bomber0.168
3bomb0.168
4bomb_factory0.168
5ship0.109
6harbor0.109
7u_s_s_cole0.109

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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): Resource x Resource

RankResourceValue
1bomb_material1.000
2ship1.000
3bomber1.000
4bomb1.000
5harbor1.000
6u_s_s_cole1.000
7bomb_factory1.000

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Simmelian ties

The normalized number of Simmelian ties of each node.

Input network(s): Resource x Resource

RankResourceValueUnscaled
1bomb_material0.1433.000
2bomber0.1433.000
3bomb0.1433.000
4bomb_factory0.1433.000
5ship0.0952.000
6harbor0.0952.000
7u_s_s_cole0.0952.000

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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): Resource x Resource

RankResourceValue
1bomb_material1.000
2ship1.000
3bomber1.000
4bomb1.000
5harbor1.000
6u_s_s_cole1.000
7bomb_factory1.000

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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
1moneybomb_materialbomb_materialbomb_materialbomb_materialbomb_materialbomb_materialbomb_material
2bomb_materialbomberbomberbomberbomberbomberbomberbomber
3telephonebombbombbombbombbombbombbomb
4shipbomb_factorybomb_factorybomb_factorybomb_factorybomb_factorybomb_factorybomb_factory
5bombershipshipshipshipshipshipship
6vehicleharborharborharborharborharborharborharbor
7nuclearu_s_s_coleu_s_s_coleu_s_s_coleu_s_s_coleu_s_s_coleu_s_s_coleu_s_s_cole
8missilemoneymoneymoneymoneymoneymoneymoney
9bombtelephonetelephonetelephonetelephonetelephonetelephonetelephone
10charityvehiclevehiclevehiclevehiclevehiclevehiclevehicle