Standard Network Analysis: location---location

Standard Network Analysis: location---location

Input data: location---location

Start time: Tue Oct 18 12:08:36 2011

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Network Level Measures

MeasureValue
Row count66.000
Column count66.000
Link count55.000
Density0.013
Components of 1 node (isolates)20
Components of 2 nodes (dyadic isolates)4
Components of 3 or more nodes3
Reciprocity0.082
Characteristic path length3.435
Clustering coefficient0.192
Network levels (diameter)10.000
Network fragmentation0.764
Krackhardt connectedness0.236
Krackhardt efficiency0.974
Krackhardt hierarchy0.935
Krackhardt upperboundedness0.527
Degree centralization0.031
Betweenness centralization0.034
Closeness centralization0.002
Eigenvector centralization0.768
Reciprocal (symmetric)?No (8% of the links are reciprocal)

Node Level Measures

MeasureMinMaxAvgStddev
Total degree centrality0.0000.0340.0030.005
Total degree centrality [Unscaled]0.00022.0002.0453.574
In-degree centrality0.0000.0520.0030.007
In-degree centrality [Unscaled]0.00017.0001.0452.434
Out-degree centrality0.0000.0300.0030.006
Out-degree centrality [Unscaled]0.00010.0001.0451.829
Eigenvector centrality0.0000.8180.0740.158
Eigenvector centrality [Unscaled]0.0000.5790.0520.112
Eigenvector centrality per component0.0000.2800.0300.053
Closeness centrality0.0030.0040.0030.000
Closeness centrality [Unscaled]0.0000.0000.0000.000
In-Closeness centrality0.0030.0050.0030.001
In-Closeness centrality [Unscaled]0.0000.0000.0000.000
Betweenness centrality0.0000.0350.0010.005
Betweenness centrality [Unscaled]0.000147.0006.01521.774
Hub centrality0.0000.8890.0670.161
Authority centrality0.0000.9630.0540.166
Information centrality0.0000.0640.0150.017
Information centrality [Unscaled]0.0002.1700.5140.582
Clique membership count0.0005.0000.4090.870
Simmelian ties0.0000.0310.0010.006
Simmelian ties [Unscaled]0.0002.0000.0910.417
Clustering coefficient0.0001.0000.1920.338

Key Nodes

This chart shows the Location that is repeatedly top-ranked in the measures listed below. The value shown is the percentage of measures for which the Location 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: location---location (size: 66, density: 0.0126263)

RankLocationValueUnscaledContext*
1israel0.03422.0001.525
2syria0.02315.0000.748
3west_bank0.01812.0000.414
4gaza_strip0.0128.000-0.030
5lebanon0.0096.000-0.252
6iraq0.0085.000-0.363
7saudi_arabia0.0085.000-0.363
8golan_heights0.0053.000-0.585
9tulkarm0.0053.000-0.585
10refugee_camp0.0053.000-0.585

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

Mean: 0.003Mean in random network: 0.013
Std.dev: 0.005Std.dev in random network: 0.014

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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): location---location

RankLocationValueUnscaled
1israel0.05217.000
2syria0.0248.000
3gaza_strip0.0186.000
4lebanon0.0124.000
5iraq0.0093.000
6iran0.0062.000
7switzerland0.0062.000
8africa0.0062.000
9refugee_camp0.0062.000
10west_bank0.0062.000

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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): location---location

RankLocationValueUnscaled
1west_bank0.03010.000
2syria0.0248.000
3israel0.0217.000
4saudi_arabia0.0124.000
5tulkarm0.0093.000
6gaza_strip0.0062.000
7iraq0.0062.000
8turkei0.0062.000
9terrorist_camp0.0062.000
10netherland0.0062.000

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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: location---location (size: 66, density: 0.0126263)

RankLocationValueUnscaledContext*
1israel0.8180.5791.588
2gaza_strip0.5720.4040.650
3syria0.5550.3920.586
4west_bank0.5420.3830.538
5lebanon0.3210.227-0.304
6golan_heights0.2490.176-0.577
7tulkarm0.2240.159-0.670
8middle_east0.1800.128-0.837
9terrorist_camp0.1770.125-0.849
10iran0.1430.101-0.978

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

Mean: 0.074Mean in random network: 0.401
Std.dev: 0.158Std.dev in random network: 0.263

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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): location---location

RankLocationValue
1israel0.280
2gaza_strip0.196
3syria0.190
4west_bank0.186
5lebanon0.110
6golan_heights0.085
7tulkarm0.077
8middle_east0.062
9terrorist_camp0.061
10iran0.049

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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: location---location (size: 66, density: 0.0126263)

RankLocationValueUnscaledContext*
1turkei0.0040.000-4.533
2saudi_arabia0.0040.000-4.528
3givat_zeev0.0040.000-4.516
4nasiriya0.0040.000-4.516
5tulkarm0.0040.000-4.512
6jerusalem0.0040.000-4.512
7khan_yuni0.0040.000-4.512
8iraq0.0040.000-4.512
9terrorist_camp0.0040.000-4.508
10middle_east0.0040.000-4.508

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

Mean: 0.003Mean in random network: -0.075
Std.dev: 0.000Std.dev in random network: -0.017

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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): location---location

RankLocationValueUnscaled
1jenin0.0050.000
2karnei_shomron0.0050.000
3ramallah0.0050.000
4iran0.0050.000
5israel0.0040.000
6west_bank0.0040.000
7golan_heights0.0040.000
8lebanon0.0040.000
9syria0.0040.000
10gaza_strip0.0040.000

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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: location---location (size: 66, density: 0.0126263)

RankLocationValueUnscaledContext*
1israel0.035147.000-0.251
2west_bank0.02189.000-0.423
3gaza_strip0.00936.000-0.581
4iraq0.00833.000-0.590
5syria0.00728.000-0.605
6middle_east0.00520.000-0.628
7lebanon0.00415.000-0.643
8refugee_camp0.00415.000-0.643
9jerusalem0.00311.000-0.655
10saudi_arabia0.0013.000-0.679

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

Mean: 0.001Mean in random network: 0.056
Std.dev: 0.005Std.dev in random network: 0.081

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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): location---location

RankLocationValue
1west_bank0.889
2syria0.640
3israel0.543
4tulkarm0.319
5gaza_strip0.311
6terrorist_camp0.225
7lebanon0.225
8middle_east0.225
9kibbutz0.155
10kafr_saba0.155

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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): location---location

RankLocationValue
1israel0.963
2gaza_strip0.737
3syria0.433
4lebanon0.397
5ramallah0.287
6iran0.206
7jenin0.143
8karnei_shomron0.143
9west_bank0.090
10golan_heights0.088

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Information centrality

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

Input network(s): location---location

RankLocationValueUnscaled
1west_bank0.0642.170
2israel0.0551.874
3syria0.0551.871
4saudi_arabia0.0491.658
5tulkarm0.0431.467
6middle_east0.0361.225
7iraq0.0361.214
8gaza_strip0.0351.200
9turkei0.0351.185
10terrorist_camp0.0351.183

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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): location---location

RankLocationValue
1israel5.000
2syria4.000
3saudi_arabia2.000
4gaza_strip1.000
5iraq1.000
6switzerland1.000
7turkei1.000
8asia1.000
9terrorist_camp1.000
10netherland1.000

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Simmelian ties

The normalized number of Simmelian ties of each node.

Input network(s): location---location

RankLocationValueUnscaled
1israel0.0312.000
2lebanon0.0312.000
3syria0.0312.000

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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): location---location

RankLocationValue
1iran1.000
2kibbutz1.000
3kafr_saba1.000
4enclav1.000
5terrorist_camp1.000
6lebanon1.000
7golan_heights1.000
8mideast1.000
9shlomi1.000
10middle_east0.444

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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
1israelturkeiisraelisraelisraeljeninwest_bankisrael
2west_banksaudi_arabiagaza_stripgaza_stripsyriakarnei_shomronsyriasyria
3gaza_stripgivat_zeevsyriasyriagaza_stripramallahisraelwest_bank
4iraqnasiriyawest_bankwest_banklebanoniransaudi_arabiagaza_strip
5syriatulkarmlebanonlebanoniraqisraeltulkarmlebanon
6middle_eastjerusalemgolan_heightsgolan_heightsiranwest_bankgaza_stripiraq
7lebanonkhan_yunitulkarmtulkarmswitzerlandgolan_heightsiraqsaudi_arabia
8refugee_campiraqmiddle_eastmiddle_eastafricalebanonturkeigolan_heights
9jerusalemterrorist_campterrorist_campterrorist_camprefugee_campsyriaterrorist_camptulkarm
10saudi_arabiamiddle_eastiraniranwest_bankgaza_stripnetherlandrefugee_camp