Network Level Measures
Measure Value Row count 35.000 Column count 35.000 Link count 33.000 Density 0.028 Components of 1 node (isolates) 9 Components of 2 nodes (dyadic isolates) 0 Components of 3 or more nodes 3 Reciprocity 0.065 Characteristic path length 2.790 Clustering coefficient 0.051 Network levels (diameter) 6.000 Network fragmentation 0.697 Krackhardt connectedness 0.303 Krackhardt efficiency 0.949 Krackhardt hierarchy 0.865 Krackhardt upperboundedness 0.904 Degree centralization 0.047 Betweenness centralization 0.068 Closeness centralization 0.018 Eigenvector centralization 0.452 Reciprocal (symmetric)? No (6% of the links are reciprocal)
Node Level Measures
Measure Min Max Avg Stddev Total degree centrality 0.000 0.059 0.014 0.015 Total degree centrality [Unscaled] 0.000 8.000 1.943 1.985 In-degree centrality 0.000 0.074 0.014 0.017 In-degree centrality [Unscaled] 0.000 5.000 0.971 1.158 Out-degree centrality 0.000 0.074 0.014 0.017 Out-degree centrality [Unscaled] 0.000 5.000 0.971 1.134 Eigenvector centrality 0.000 0.590 0.164 0.174 Eigenvector centrality [Unscaled] 0.000 0.417 0.116 0.123 Eigenvector centrality per component 0.000 0.226 0.073 0.060 Closeness centrality 0.014 0.026 0.017 0.003 Closeness centrality [Unscaled] 0.000 0.001 0.001 0.000 In-Closeness centrality 0.014 0.027 0.018 0.005 In-Closeness centrality [Unscaled] 0.000 0.001 0.001 0.000 Betweenness centrality 0.000 0.074 0.008 0.017 Betweenness centrality [Unscaled] 0.000 82.667 8.848 18.970 Hub centrality 0.000 1.414 0.040 0.236 Authority centrality 0.000 1.069 0.076 0.227 Information centrality 0.000 0.081 0.029 0.024 Information centrality [Unscaled] 0.000 1.548 0.545 0.464 Clique membership count 0.000 2.000 0.257 0.553 Simmelian ties 0.000 0.000 0.000 0.000 Simmelian ties [Unscaled] 0.000 0.000 0.000 0.000 Clustering coefficient 0.000 0.500 0.051 0.129
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: 35, density: 0.0277311)
Rank Task Value Unscaled Context* 1 bomb_preparation 0.059 8.000 1.120 2 bombing 0.059 8.000 1.120 3 get_money 0.044 6.000 0.590 4 driving 0.029 4.000 0.061 5 conceal_bomb_in_car 0.022 3.000 -0.204 6 leave_bomb_and_car 0.022 3.000 -0.204 7 purchase_vehicle 0.022 3.000 -0.204 8 explosion 0.022 3.000 -0.204 9 weapon_training 0.015 2.000 -0.469 10 driving_training 0.015 2.000 -0.469 * Number of standard deviations from the mean of a random network of the same size and density
Mean: 0.014 Mean in random network: 0.028 Std.dev: 0.015 Std.dev in random network: 0.028 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
Rank Task Value Unscaled 1 bomb_preparation 0.074 5.000 2 bombing 0.059 4.000 3 driving 0.044 3.000 4 murder 0.029 2.000 5 destruction 0.029 2.000 6 leave_bomb_and_car 0.029 2.000 7 purchase_vehicle 0.029 2.000 8 weapon_training 0.015 1.000 9 arrest 0.015 1.000 10 accusation 0.015 1.000 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
Rank Task Value Unscaled 1 get_money 0.074 5.000 2 bombing 0.059 4.000 3 bomb_preparation 0.044 3.000 4 driving_training 0.029 2.000 5 conceal_bomb_in_car 0.029 2.000 6 explosion 0.029 2.000 7 surveillence 0.015 1.000 8 weapon_training 0.015 1.000 9 trial 0.015 1.000 10 accusation 0.015 1.000 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: 35, density: 0.0277311)
Rank Task Value Unscaled Context* 1 bombing 0.590 0.417 -0.946 2 bomb_preparation 0.534 0.377 -1.093 3 get_money 0.476 0.337 -1.245 4 purchase_vehicle 0.375 0.265 -1.512 5 driving 0.357 0.253 -1.560 6 conceal_bomb_in_car 0.332 0.235 -1.626 7 explosion 0.318 0.225 -1.663 8 purchase_oxygen 0.289 0.205 -1.739 9 purchase_acetylene 0.289 0.205 -1.739 10 driving_training 0.271 0.192 -1.787 * Number of standard deviations from the mean of a random network of the same size and density
Mean: 0.164 Mean in random network: 0.947 Std.dev: 0.174 Std.dev in random network: 0.378 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
Rank Task Value 1 bombing 0.226 2 bomb_preparation 0.205 3 get_money 0.183 4 purchase_vehicle 0.144 5 driving 0.137 6 conceal_bomb_in_car 0.127 7 explosion 0.122 8 purchase_oxygen 0.111 9 purchase_acetylene 0.111 10 driving_training 0.104 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: 35, density: 0.0277311)
Rank Task Value Unscaled Context* 1 provide_money 0.026 0.001 35.310 2 get_money 0.025 0.001 35.186 3 rent_residence 0.021 0.001 34.680 4 driving_training 0.020 0.001 34.600 5 run_bomb_factory 0.020 0.001 34.592 6 purchase_oxygen 0.020 0.001 34.592 7 purchase_acetylene 0.020 0.001 34.592 8 surveillence 0.020 0.001 34.590 9 purchase_vehicle 0.020 0.001 34.570 10 bomb_preparation 0.019 0.001 34.510 * Number of standard deviations from the mean of a random network of the same size and density
Mean: 0.017 Mean in random network: -0.263 Std.dev: 0.003 Std.dev in random network: 0.008 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
Rank Task Value Unscaled 1 murder 0.027 0.001 2 destruction 0.027 0.001 3 explosion 0.026 0.001 4 bomb_preparation 0.025 0.001 5 bombing 0.025 0.001 6 driving 0.025 0.001 7 leave_bomb_and_car 0.025 0.001 8 conceal_bomb_in_car 0.025 0.001 9 weapon_training 0.025 0.001 10 detonate_bomb 0.025 0.001 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: 35, density: 0.0277311)
Rank Task Value Unscaled Context* 1 bomb_preparation 0.074 82.667 -0.067 2 bombing 0.063 71.000 -0.136 3 leave_bomb_and_car 0.030 34.000 -0.357 4 conceal_bomb_in_car 0.026 29.667 -0.382 5 detonate_bomb 0.025 28.000 -0.392 6 get_money 0.013 15.000 -0.470 7 driving 0.011 12.333 -0.486 8 run_bomb_factory 0.009 10.000 -0.500 9 purchase_oxygen 0.007 8.333 -0.509 10 purchase_acetylene 0.007 8.333 -0.509 * Number of standard deviations from the mean of a random network of the same size and density
Mean: 0.008 Mean in random network: 0.084 Std.dev: 0.017 Std.dev in random network: 0.150 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
Rank Task Value 1 get_money 1.414 2 bombing 0.000 3 explosion 0.000 4 weapon_training 0.000 5 run_bomb_factory 0.000 6 purchase_oxygen 0.000 7 purchase_acetylene 0.000 8 bomb_preparation 0.000 9 driving_training 0.000 10 surveillence 0.000 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
Rank Task Value 1 purchase_vehicle 1.069 2 rent_residence 0.535 3 purchase_oxygen 0.535 4 purchase_acetylene 0.535 5 bomb_preparation 0.000 6 murder 0.000 7 destruction 0.000 8 explosion 0.000 9 bombing 0.000 10 driving 0.000 Information centrality
Calculate the Stephenson and Zelen information centrality measure for each node.
Input network(s): task x task
Rank Task Value Unscaled 1 get_money 0.081 1.548 2 bombing 0.073 1.396 3 bomb_preparation 0.063 1.201 4 conceal_bomb_in_car 0.061 1.169 5 driving_training 0.055 1.050 6 explosion 0.055 1.049 7 leave_bomb_and_car 0.046 0.872 8 driving 0.045 0.853 9 detonate_bomb 0.041 0.791 10 run_bomb_factory 0.040 0.755 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
Rank Task Value 1 bombing 2.000 2 explosion 2.000 3 murder 1.000 4 destruction 1.000 5 driving 1.000 6 conceal_bomb_in_car 1.000 7 leave_bomb_and_car 1.000 Simmelian ties
The normalized number of Simmelian ties of each node.
Input network(s): task x task
Rank Task Value Unscaled 1 All nodes have this value 0.000 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
Rank Task Value 1 murder 0.500 2 destruction 0.500 3 explosion 0.333 4 conceal_bomb_in_car 0.167 5 leave_bomb_and_car 0.167 6 driving 0.083 7 bombing 0.048
Key Nodes Table
This shows the top scoring nodes side-by-side for selected measures.
Rank Betweenness centrality Closeness centrality Eigenvector centrality Eigenvector centrality per component In-degree centrality In-Closeness centrality Out-degree centrality Total degree centrality 1 bomb_preparation provide_money bombing bombing bomb_preparation murder get_money bomb_preparation 2 bombing get_money bomb_preparation bomb_preparation bombing destruction bombing bombing 3 leave_bomb_and_car rent_residence get_money get_money driving explosion bomb_preparation get_money 4 conceal_bomb_in_car driving_training purchase_vehicle purchase_vehicle murder bomb_preparation driving_training driving 5 detonate_bomb run_bomb_factory driving driving destruction bombing conceal_bomb_in_car conceal_bomb_in_car 6 get_money purchase_oxygen conceal_bomb_in_car conceal_bomb_in_car leave_bomb_and_car driving explosion leave_bomb_and_car 7 driving purchase_acetylene explosion explosion purchase_vehicle leave_bomb_and_car surveillence purchase_vehicle 8 run_bomb_factory surveillence purchase_oxygen purchase_oxygen weapon_training conceal_bomb_in_car weapon_training explosion 9 purchase_oxygen purchase_vehicle purchase_acetylene purchase_acetylene arrest weapon_training trial weapon_training 10 purchase_acetylene bomb_preparation driving_training driving_training accusation detonate_bomb accusation driving_training