Standard Network Analysis: Resource x Resource

Standard Network Analysis: Resource x Resource

Input data: Resource x Resource

Start time: Tue Oct 18 11:56:40 2011

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Network Level Measures

MeasureValue
Row count18.000
Column count18.000
Link count6.000
Density0.039
Components of 1 node (isolates)14
Components of 2 nodes (dyadic isolates)0
Components of 3 or more nodes1
Reciprocity1.000
Characteristic path length1.000
Clustering coefficient0.222
Network levels (diameter)1.000
Network fragmentation0.961
Krackhardt connectedness0.039
Krackhardt efficiency0.000
Krackhardt hierarchy0.000
Krackhardt upperboundedness1.000
Degree centralization0.154
Betweenness centralization0.000
Closeness centralization0.019
Eigenvector centralization0.619
Reciprocal (symmetric)?Yes

Node Level Measures

MeasureMinMaxAvgStddev
Total degree centrality0.0000.1760.0390.073
Total degree centrality [Unscaled]0.0003.0000.6671.247
In-degree centrality0.0000.1760.0390.073
In-degree centrality [Unscaled]0.0003.0000.6671.247
Out-degree centrality0.0000.1760.0390.073
Out-degree centrality [Unscaled]0.0003.0000.6671.247
Eigenvector centrality0.0000.7070.1570.294
Eigenvector centrality [Unscaled]0.0000.5000.1110.208
Eigenvector centrality per component0.0000.1110.0250.046
Closeness centrality0.0560.0670.0580.005
Closeness centrality [Unscaled]0.0030.0040.0030.000
In-Closeness centrality0.0560.0670.0580.005
In-Closeness centrality [Unscaled]0.0030.0040.0030.000
Betweenness centrality0.0000.0000.0000.000
Betweenness centrality [Unscaled]0.0000.0000.0000.000
Hub centrality0.0000.7070.1570.294
Authority centrality0.0000.7070.1570.294
Information centrality0.0000.2500.0560.104
Information centrality [Unscaled]0.0003.6000.8001.497
Clique membership count0.0001.0000.2220.416
Simmelian ties0.0000.1760.0390.073
Simmelian ties [Unscaled]0.0003.0000.6671.247
Clustering coefficient0.0001.0000.2220.416

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: 18, density: 0.0392157)

RankResourceValueUnscaledContext*
1bomb0.1763.0003.000
2bomb_factory0.1763.0003.000
3bomb_material0.1763.0003.000
4bomber0.1763.0003.000

* 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: 0.073Std.dev in random network: 0.046

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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
1bomb0.1763.000
2bomb_factory0.1763.000
3bomb_material0.1763.000
4bomber0.1763.000

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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
1bomb0.1763.000
2bomb_factory0.1763.000
3bomb_material0.1763.000
4bomber0.1763.000

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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: 18, density: 0.0392157)

RankResourceValueUnscaledContext*
1bomb0.7070.5000.432
2bomb_factory0.7070.5000.432
3bomb_material0.7070.5000.432
4bomber0.7070.5000.432

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

Mean: 0.157Mean in random network: 0.510
Std.dev: 0.294Std.dev in random network: 0.455

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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
1bomb0.111
2bomb_factory0.111
3bomb_material0.111
4bomber0.111

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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: 18, density: 0.0392157)

RankResourceValueUnscaledContext*
1bomb0.0670.00423.528
2bomb_factory0.0670.00423.528
3bomb_material0.0670.00423.528
4bomber0.0670.00423.528
5acetylene0.0560.00322.443
6charity0.0560.00322.443
7internet0.0560.00322.443
8missile0.0560.00322.443
9money0.0560.00322.443
10nuclear0.0560.00322.443

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

Mean: 0.058Mean in random network: -0.174
Std.dev: 0.005Std.dev in random network: 0.010

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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
1bomb0.0670.004
2bomb_factory0.0670.004
3bomb_material0.0670.004
4bomber0.0670.004
5acetylene0.0560.003
6charity0.0560.003
7internet0.0560.003
8missile0.0560.003
9money0.0560.003
10nuclear0.0560.003

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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: 18, density: 0.0392157)

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: 0.152
Std.dev: 0.000Std.dev in random network: 0.283

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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
1bomb0.707
2bomb_factory0.707
3bomb_material0.707
4bomber0.707

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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
1bomb0.707
2bomb_factory0.707
3bomb_material0.707
4bomber0.707

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Information centrality

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

Input network(s): Resource x Resource

RankResourceValueUnscaled
1bomb0.2503.600
2bomb_factory0.2503.600
3bomb_material0.2503.600
4bomber0.2503.600

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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
1bomb1.000
2bomb_factory1.000
3bomb_material1.000
4bomber1.000

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Simmelian ties

The normalized number of Simmelian ties of each node.

Input network(s): Resource x Resource

RankResourceValueUnscaled
1bomb0.1763.000
2bomb_factory0.1763.000
3bomb_material0.1763.000
4bomber0.1763.000

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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
1bomb1.000
2bomb_factory1.000
3bomb_material1.000
4bomber1.000

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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
1acetylenebombbombbombbombbombbombbomb
2bombbomb_factorybomb_factorybomb_factorybomb_factorybomb_factorybomb_factorybomb_factory
3bomb_factorybomb_materialbomb_materialbomb_materialbomb_materialbomb_materialbomb_materialbomb_material
4bomb_materialbomberbomberbomberbomberbomberbomberbomber
5bomberacetyleneacetyleneacetyleneacetyleneacetyleneacetyleneacetylene
6charitycharitycharitycharitycharitycharitycharitycharity
7internetinternetinternetinternetinternetinternetinternetinternet
8missilemissilemissilemissilemissilemissilemissilemissile
9moneymoneymoneymoneymoneymoneymoneymoney
10nuclearnuclearnuclearnuclearnuclearnuclearnuclearnuclear