Standard Network Analysis: Task x Task

Standard Network Analysis: Task x Task

Input data: Task x Task

Start time: Tue Oct 18 11:46:17 2011

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Network Level Measures

MeasureValue
Row count5.000
Column count5.000
Link count3.000
Density0.150
Components of 1 node (isolates)1
Components of 2 nodes (dyadic isolates)0
Components of 3 or more nodes1
Reciprocity0.000
Characteristic path length1.250
Clustering coefficient0.000
Network levels (diameter)2.000
Network fragmentation0.400
Krackhardt connectedness0.600
Krackhardt efficiency1.000
Krackhardt hierarchy1.000
Krackhardt upperboundedness1.000
Degree centralization0.167
Betweenness centralization0.083
Closeness centralization0.541
Eigenvector centralization0.500
Reciprocal (symmetric)?No (0% of the links are reciprocal)

Node Level Measures

MeasureMinMaxAvgStddev
Total degree centrality0.0000.2500.1500.094
Total degree centrality [Unscaled]0.0002.0001.2000.748
In-degree centrality0.0000.2500.1500.122
In-degree centrality [Unscaled]0.0001.0000.6000.490
Out-degree centrality0.0000.5000.1500.200
Out-degree centrality [Unscaled]0.0002.0000.6000.800
Eigenvector centrality0.0000.8510.5510.311
Eigenvector centrality [Unscaled]0.0000.6020.3890.220
Eigenvector centrality per component0.0000.4810.3110.176
Closeness centrality0.2000.4440.2590.095
Closeness centrality [Unscaled]0.0500.1110.0650.024
In-Closeness centrality0.2000.3080.2420.040
In-Closeness centrality [Unscaled]0.0500.0770.0600.010
Betweenness centrality0.0000.0830.0170.033
Betweenness centrality [Unscaled]0.0001.0000.2000.400
Hub centrality0.0001.4140.2830.566
Authority centrality0.0001.0000.4000.490
Information centrality0.0000.5930.2000.252
Information centrality [Unscaled]0.0002.7270.9201.159
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: 5, density: 0.15)

RankTaskValueUnscaledContext*
1bomb prep0.2502.0000.626
2bombing0.2502.0000.626
3weapon training0.1251.000-0.157
4driving training0.1251.000-0.157

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

Mean: 0.150Mean in random network: 0.150
Std.dev: 0.094Std.dev in random network: 0.160

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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
1weapon training0.2501.000
2driving training0.2501.000
3bomb prep0.2501.000

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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
1bombing0.5002.000
2bomb prep0.2501.000

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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: 5, density: 0.15)

RankTaskValueUnscaledContext*
1bomb prep0.8510.6021.509
2bombing0.8510.6021.509
3weapon training0.5260.3720.674
4driving training0.5260.3720.674

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

Mean: 0.551Mean in random network: 0.264
Std.dev: 0.311Std.dev in random network: 0.389

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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
1bomb prep0.481
2bombing0.481
3weapon training0.297
4driving training0.297

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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: 5, density: 0.15)

RankTaskValueUnscaledContext*
1bombing0.4440.1110.326
2bomb prep0.2500.063-0.018
3surveillence0.2000.050-0.107
4weapon training0.2000.050-0.107
5driving training0.2000.050-0.107

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

Mean: 0.259Mean in random network: 0.260
Std.dev: 0.095Std.dev in random network: 0.564

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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
1weapon training0.3080.077
2driving training0.2500.063
3bomb prep0.2500.063
4surveillence0.2000.050
5bombing0.2000.050

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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: 5, density: 0.15)

RankTaskValueUnscaledContext*
1bomb prep0.0831.000-1.098

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

Mean: 0.017Mean in random network: 0.353
Std.dev: 0.033Std.dev in random network: 0.245

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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
1bombing1.414
2bomb prep0.000

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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
1driving training1.000
2bomb prep1.000
3weapon training0.000

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Information centrality

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

Input network(s): Task x Task

RankTaskValueUnscaled
1bombing0.5932.727
2bomb prep0.4071.875

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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
1bomb prepbombingbomb prepbomb prepweapon trainingweapon trainingbombingbomb prep
2surveillencebomb prepbombingbombingdriving trainingdriving trainingbomb prepbombing
3weapon trainingsurveillenceweapon trainingweapon trainingbomb prepbomb prepsurveillenceweapon training
4driving trainingweapon trainingdriving trainingdriving trainingsurveillencesurveillenceweapon trainingdriving training
5bombingdriving trainingsurveillencesurveillencebombingbombingdriving trainingsurveillence