STANDARD NETWORK ANALYSIS REPORT

STANDARD NETWORK ANALYSIS REPORT

Input data: polbooks

Start time: Mon Oct 17 15:37:34 2011

Data Description

Calculates common social network measures on each selected input network.

Network resource x resource

Network Level Measures

MeasureValue
Row count105.000
Column count105.000
Link count441.000
Density0.081
Components of 1 node (isolates)0
Components of 2 nodes (dyadic isolates)0
Components of 3 or more nodes1
Reciprocity1.000
Characteristic path length3.079
Clustering coefficient0.488
Network levels (diameter)7.000
Network fragmentation0.000
Krackhardt connectedness1.000
Krackhardt efficiency0.937
Krackhardt hierarchy0.000
Krackhardt upperboundedness1.000
Degree centralization0.163
Betweenness centralization0.120
Closeness centralization0.172
Eigenvector centralization0.094
Reciprocal (symmetric)?Yes

Node Level Measures

MeasureMinMaxAvgStddev
Total degree centrality0.0190.2400.0810.052
Total degree centrality [Unscaled]2.00025.0008.4005.449
In-degree centrality0.0190.2400.0810.052
In-degree centrality [Unscaled]2.00025.0008.4005.449
Out-degree centrality0.0190.2400.0810.052
Out-degree centrality [Unscaled]2.00025.0008.4005.449
Eigenvector centrality-0.420-0.007-0.0990.096
Eigenvector centrality [Unscaled]-0.297-0.005-0.0700.068
Eigenvector centrality per component-0.297-0.005-0.0700.068
Closeness centrality0.2400.4140.3300.040
Closeness centrality [Unscaled]0.0020.0040.0030.000
In-Closeness centrality0.2400.4140.3300.040
In-Closeness centrality [Unscaled]0.0020.0040.0030.000
Betweenness centrality0.0000.1390.0200.029
Betweenness centrality [Unscaled]0.000747.046108.095154.839
Hub centrality0.0070.4200.0990.096
Authority centrality0.0070.4200.0990.096
Information centrality0.0040.0130.0100.002
Information centrality [Unscaled]0.9933.3912.4020.519
Clique membership count0.00036.0006.8487.534
Simmelian ties0.0000.2400.0770.054
Simmelian ties [Unscaled]0.00025.0008.0575.580
Clustering coefficient0.0001.0000.4880.215

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: 105, density: 0.0807692)

RankResourceValueUnscaledContext*
1A National Party No More0.24025.0006.003
2Off with Their Heads0.24025.0006.003
3Losing Bin Laden0.22123.0005.279
4Bushwhacked0.22123.0005.279
5American Dynasty0.21222.0004.918
6The Great Unraveling0.20221.0004.556
7Big Lies0.20221.0004.556
8The Price of Loyalty0.19220.0004.195
9Legacy0.17318.0003.471
10Deliver Us from Evil0.17318.0003.471

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

Mean: 0.081Mean in random network: 0.081
Std.dev: 0.052Std.dev in random network: 0.027

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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
1A National Party No More0.24025.000
2Off with Their Heads0.24025.000
3Losing Bin Laden0.22123.000
4Bushwhacked0.22123.000
5American Dynasty0.21222.000
6The Great Unraveling0.20221.000
7Big Lies0.20221.000
8The Price of Loyalty0.19220.000
9Legacy0.17318.000
10Deliver Us from Evil0.17318.000

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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
1A National Party No More0.24025.000
2Off with Their Heads0.24025.000
3Losing Bin Laden0.22123.000
4Bushwhacked0.22123.000
5American Dynasty0.21222.000
6The Great Unraveling0.20221.000
7Big Lies0.20221.000
8The Price of Loyalty0.19220.000
9Legacy0.17318.000
10Deliver Us from Evil0.17318.000

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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: 105, density: 0.0807692)

RankResourceValueUnscaledContext*
1The Future of Freedom-0.007-0.005-2.223
2Empire-0.008-0.006-2.229
3The O'Reilly Factor-0.015-0.010-2.258
4We Will Prevail-0.015-0.010-2.258
5Charlie Wilson's War-0.017-0.012-2.266
6Bush vs. the Beltway-0.017-0.012-2.269
7Betrayal-0.017-0.012-2.269
8Colossus-0.019-0.013-2.276
9Fighting Back-0.021-0.015-2.284
10The Faith of George W Bush-0.023-0.016-2.293

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

Mean: -0.099Mean in random network: 0.517
Std.dev: 0.096Std.dev in random network: 0.235

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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
1The Future of Freedom-0.005
2Empire-0.006
3The O'Reilly Factor-0.010
4We Will Prevail-0.010
5Charlie Wilson's War-0.012
6Bush vs. the Beltway-0.012
7Betrayal-0.012
8Colossus-0.013
9Fighting Back-0.015
10The Faith of George W Bush-0.016

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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: 105, density: 0.0807692)

RankResourceValueUnscaledContext*
1The Price of Loyalty0.4140.0040.995
2Rise of the Vulcans0.4130.0040.955
3Ghost Wars0.4080.0040.838
4The Bushes0.4080.0040.838
5Bush Country0.4060.0040.800
6Plan of Attack0.3970.0040.576
7Rumsfeld's War0.3950.0040.539
8American Dynasty0.3940.0040.503
9Sleeping With the Devil0.3910.0040.432
10House of Bush, House of Saud0.3820.0040.224

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

Mean: 0.330Mean in random network: 0.373
Std.dev: 0.040Std.dev in random network: 0.042

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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
1The Price of Loyalty0.4140.004
2Rise of the Vulcans0.4130.004
3Ghost Wars0.4080.004
4The Bushes0.4080.004
5Bush Country0.4060.004
6Plan of Attack0.3970.004
7Rumsfeld's War0.3950.004
8American Dynasty0.3940.004
9Sleeping With the Devil0.3910.004
10House of Bush, House of Saud0.3820.004

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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: 105, density: 0.0807692)

RankResourceValueUnscaledContext*
1The Price of Loyalty0.139747.0461.383
2The Bushes0.104555.1450.977
3Bush Country0.098527.0030.918
4Off with Their Heads0.095510.2210.882
5American Dynasty0.091487.0440.833
6Plan of Attack0.080430.0980.712
7Losing Bin Laden0.076407.5530.665
8Rise of the Vulcans0.075403.1560.655
9A National Party No More0.075401.2050.651
10Ghost Wars0.069368.0880.581

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

Mean: 0.020Mean in random network: 0.017
Std.dev: 0.029Std.dev in random network: 0.088

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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
1Bushwhacked0.420
2Big Lies0.402
3American Dynasty0.383
4The Price of Loyalty0.366
5The Great Unraveling0.360
6The Lies of George W. Bush0.342
7Worse Than Watergate0.336
8Plan of Attack0.280
9Lies and the Lying Liars Who Tell Them0.268
10Against All Enemies0.264

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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
1Bushwhacked0.420
2Big Lies0.402
3American Dynasty0.383
4The Price of Loyalty0.366
5The Great Unraveling0.360
6The Lies of George W. Bush0.342
7Worse Than Watergate0.336
8Plan of Attack0.280
9Lies and the Lying Liars Who Tell Them0.268
10Against All Enemies0.264

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Information centrality

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

Input network(s): resource x resource

RankResourceValueUnscaled
1Losing Bin Laden0.0133.391
2The Price of Loyalty0.0133.389
3A National Party No More0.0133.382
4Off with Their Heads0.0133.379
5American Dynasty0.0133.338
6The Great Unraveling0.0133.324
7Bushwhacked0.0133.284
8Big Lies0.0133.261
9Legacy0.0133.242
10Bush Country0.0133.237

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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
1A National Party No More36.000
2Off with Their Heads32.000
3Bushwhacked32.000
4The Great Unraveling25.000
5Big Lies24.000
6Worse Than Watergate24.000
7Deliver Us from Evil23.000
8American Dynasty23.000
9Losing Bin Laden22.000
10Arrogance21.000

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Simmelian ties

The normalized number of Simmelian ties of each node.

Input network(s): resource x resource

RankResourceValueUnscaled
1A National Party No More0.24025.000
2Off with Their Heads0.24025.000
3Losing Bin Laden0.22123.000
4Bushwhacked0.22123.000
5American Dynasty0.21222.000
6The Great Unraveling0.20221.000
7Big Lies0.20221.000
8The Price of Loyalty0.19220.000
9Deliver Us from Evil0.17318.000
10Arrogance0.17318.000

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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
1Betrayal1.000
2The Culture of Fear1.000
3Freethinkers1.000
4The Future of Freedom1.000
5Shut Up and Sing0.900
6The Buying of the President 20040.900
7Perfectly Legal0.867
8Bush vs. the Beltway0.833
9The Perfect Wife0.833
10Hillary's Scheme0.800

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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
1The Price of LoyaltyThe Price of LoyaltyThe Future of FreedomThe Future of FreedomA National Party No MoreThe Price of LoyaltyA National Party No MoreA National Party No More
2The BushesRise of the VulcansEmpireEmpireOff with Their HeadsRise of the VulcansOff with Their HeadsOff with Their Heads
3Bush CountryGhost WarsThe O'Reilly FactorThe O'Reilly FactorLosing Bin LadenGhost WarsLosing Bin LadenLosing Bin Laden
4Off with Their HeadsThe BushesWe Will PrevailWe Will PrevailBushwhackedThe BushesBushwhackedBushwhacked
5American DynastyBush CountryCharlie Wilson's WarCharlie Wilson's WarAmerican DynastyBush CountryAmerican DynastyAmerican Dynasty
6Plan of AttackPlan of AttackBush vs. the BeltwayBush vs. the BeltwayThe Great UnravelingPlan of AttackThe Great UnravelingThe Great Unraveling
7Losing Bin LadenRumsfeld's WarBetrayalBetrayalBig LiesRumsfeld's WarBig LiesBig Lies
8Rise of the VulcansAmerican DynastyColossusColossusThe Price of LoyaltyAmerican DynastyThe Price of LoyaltyThe Price of Loyalty
9A National Party No MoreSleeping With the DevilFighting BackFighting BackLegacySleeping With the DevilLegacyLegacy
10Ghost WarsHouse of Bush, House of SaudThe Faith of George W BushThe Faith of George W BushDeliver Us from EvilHouse of Bush, House of SaudDeliver Us from EvilDeliver Us from Evil

Produced by ORA developed at CASOS - Carnegie Mellon University