Standard Network Analysis: Resource x Resource

Standard Network Analysis: Resource x Resource

Input data: Resource x Resource

Start time: Tue Oct 18 11:54:20 2011

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Network Level Measures

MeasureValue
Row count21.000
Column count21.000
Link count9.000
Density0.043
Components of 1 node (isolates)14
Components of 2 nodes (dyadic isolates)0
Components of 3 or more nodes2
Reciprocity1.000
Characteristic path length1.000
Clustering coefficient0.333
Network levels (diameter)1.000
Network fragmentation0.957
Krackhardt connectedness0.043
Krackhardt efficiency0.000
Krackhardt hierarchy0.000
Krackhardt upperboundedness1.000
Degree centralization0.118
Betweenness centralization0.000
Closeness centralization0.012
Eigenvector centralization0.633
Reciprocal (symmetric)?Yes

Node Level Measures

MeasureMinMaxAvgStddev
Total degree centrality0.0000.1500.0430.062
Total degree centrality [Unscaled]0.0003.0000.8571.245
In-degree centrality0.0000.1500.0430.062
In-degree centrality [Unscaled]0.0003.0000.8571.245
Out-degree centrality0.0000.1500.0430.062
Out-degree centrality [Unscaled]0.0003.0000.8571.245
Eigenvector centrality0.0000.7070.1350.278
Eigenvector centrality [Unscaled]0.0000.5000.0950.196
Eigenvector centrality per component0.0000.0950.0300.042
Closeness centrality0.0480.0560.0500.003
Closeness centrality [Unscaled]0.0020.0030.0020.000
In-Closeness centrality0.0480.0560.0500.003
In-Closeness centrality [Unscaled]0.0020.0030.0020.000
Betweenness centrality0.0000.0000.0000.000
Betweenness centrality [Unscaled]0.0000.0000.0000.000
Hub centrality0.0000.7070.1350.278
Authority centrality0.0000.7070.1350.278
Clique membership count0.0001.0000.3330.471
Simmelian ties0.0000.1500.0430.062
Simmelian ties [Unscaled]0.0003.0000.8571.245
Clustering coefficient0.0001.0000.3330.471

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: 21, density: 0.0428571)

RankResourceValueUnscaledContext*
1bomb_material0.1503.0002.424
2bomb0.1503.0002.424
3bomb_factory0.1503.0002.424
4bomber0.1503.0002.424
5ship0.1002.0001.293
6harbor0.1002.0001.293
7u_s_s_cole0.1002.0001.293

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

Mean: 0.043Mean in random network: 0.043
Std.dev: 0.062Std.dev in random network: 0.044

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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_material0.1503.000
2bomb0.1503.000
3bomb_factory0.1503.000
4bomber0.1503.000
5ship0.1002.000
6harbor0.1002.000
7u_s_s_cole0.1002.000

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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_material0.1503.000
2bomb0.1503.000
3bomb_factory0.1503.000
4bomber0.1503.000
5ship0.1002.000
6harbor0.1002.000
7u_s_s_cole0.1002.000

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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: 21, density: 0.0428571)

RankResourceValueUnscaledContext*
1bomb_material0.7070.5000.715
2bomb0.7070.5000.715
3bomb_factory0.7070.5000.715
4bomber0.7070.5000.715
5ship0.0000.000-1.105
6harbor0.0000.000-1.105
7u_s_s_cole0.0000.000-1.105

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

Mean: 0.135Mean in random network: 0.429
Std.dev: 0.278Std.dev in random network: 0.388

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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_material0.095
2bomb0.095
3bomb_factory0.095
4bomber0.095
5ship0.082
6harbor0.082
7u_s_s_cole0.082

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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: 21, density: 0.0428571)

RankResourceValueUnscaledContext*
1bomb_material0.0560.0039.317
2bomb0.0560.0039.317
3bomb_factory0.0560.0039.317
4bomber0.0560.0039.317
5ship0.0530.0039.084
6harbor0.0530.0039.084
7u_s_s_cole0.0530.0039.084
8money0.0480.0028.684
9telephone0.0480.0028.684
10vehicle0.0480.0028.684

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

Mean: 0.050Mean in random network: -0.061
Std.dev: 0.003Std.dev in random network: 0.013

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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_material0.0560.003
2bomb0.0560.003
3bomb_factory0.0560.003
4bomber0.0560.003
5ship0.0530.003
6harbor0.0530.003
7u_s_s_cole0.0530.003
8money0.0480.002
9telephone0.0480.002
10vehicle0.0480.002

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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: 21, density: 0.0428571)

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: 0.127
Std.dev: 0.000Std.dev in random network: 0.287

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

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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
3bomb1.000
4harbor1.000
5u_s_s_cole1.000
6bomb_factory1.000
7bomber1.000

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Simmelian ties

The normalized number of Simmelian ties of each node.

Input network(s): Resource x Resource

RankResourceValueUnscaled
1bomb_material0.1503.000
2bomb0.1503.000
3bomb_factory0.1503.000
4bomber0.1503.000
5ship0.1002.000
6harbor0.1002.000
7u_s_s_cole0.1002.000

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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
3bomb1.000
4harbor1.000
5u_s_s_cole1.000
6bomb_factory1.000
7bomber1.000

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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_materialbombbombbombbombbombbombbomb
3telephonebomb_factorybomb_factorybomb_factorybomb_factorybomb_factorybomb_factorybomb_factory
4shipbomberbomberbomberbomberbomberbomberbomber
5vehicleshipshipshipshipshipshipship
6nuclearharborharborharborharborharborharborharbor
7missileu_s_s_coleu_s_s_coleu_s_s_coleu_s_s_coleu_s_s_coleu_s_s_coleu_s_s_cole
8bombmoneymoneymoneymoneymoneymoneymoney
9charitytelephonetelephonetelephonetelephonetelephonetelephonetelephone
10contactsvehiclevehiclevehiclevehiclevehiclevehiclevehicle