Calculates common social network measures on each selected input network.
Network agent x agent
Network Level Measures
Measure Value Row count 21.000 Column count 21.000 Link count 190.000 Density 0.452 Components of 1 node (isolates) 0 Components of 2 nodes (dyadic isolates) 0 Components of 3 or more nodes 1 Reciprocity 0.310 Characteristic path length 1.640 Clustering coefficient 0.503 Network levels (diameter) 3.000 Network fragmentation 0.000 Krackhardt connectedness 1.000 Krackhardt efficiency 0.342 Krackhardt hierarchy 0.000 Krackhardt upperboundedness 1.000 Degree centralization 0.384 Betweenness centralization 0.210 Closeness centralization 0.765 Eigenvector centralization 0.117 Reciprocal (symmetric)? No (31% of the links are reciprocal)
Node Level Measures
Measure Min Max Avg Stddev Total degree centrality 0.225 0.800 0.452 0.138 Total degree centrality [Unscaled] 9.000 32.000 18.095 5.537 In-degree centrality 0.200 0.900 0.452 0.198 In-degree centrality [Unscaled] 4.000 18.000 9.048 3.970 Out-degree centrality 0.050 1.000 0.452 0.266 Out-degree centrality [Unscaled] 1.000 20.000 9.048 5.323 Eigenvector centrality 0.163 0.408 0.302 0.064 Eigenvector centrality [Unscaled] 0.115 0.288 0.213 0.045 Eigenvector centrality per component 0.115 0.288 0.213 0.045 Closeness centrality 0.417 1.000 0.645 0.152 Closeness centrality [Unscaled] 0.021 0.050 0.032 0.008 In-Closeness centrality 0.488 0.909 0.628 0.113 In-Closeness centrality [Unscaled] 0.024 0.045 0.031 0.006 Betweenness centrality 0.000 0.234 0.034 0.057 Betweenness centrality [Unscaled] 0.000 88.917 12.810 21.600 Hub centrality 0.035 0.541 0.273 0.143 Authority centrality 0.134 0.501 0.291 0.102 Information centrality 0.017 0.066 0.048 0.014 Information centrality [Unscaled] 1.177 4.655 3.358 0.979 Clique membership count 2.000 43.000 15.238 11.006 Simmelian ties 0.000 0.700 0.200 0.164 Simmelian ties [Unscaled] 0.000 14.000 4.000 3.281 Clustering coefficient 0.429 0.611 0.503 0.054
Key Nodes
This chart shows the Agent that is repeatedly top-ranked in the measures listed below. The value shown is the percentage of measures for which the Agent 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: agent x agent (size: 21, density: 0.452381)
Rank Agent Value Unscaled Context* 1 18 0.800 32.000 3.201 2 21 0.650 26.000 1.819 3 15 0.600 24.000 1.359 4 10 0.575 23.000 1.129 5 2 0.525 21.000 0.669 6 7 0.525 21.000 0.669 7 3 0.500 20.000 0.438 8 4 0.500 20.000 0.438 9 5 0.500 20.000 0.438 10 20 0.500 20.000 0.438 * Number of standard deviations from the mean of a random network of the same size and density
Mean: 0.452 Mean in random network: 0.452 Std.dev: 0.138 Std.dev in random network: 0.109 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): agent x agent
Rank Agent Value Unscaled 1 2 0.900 18.000 2 18 0.750 15.000 3 21 0.750 15.000 4 1 0.650 13.000 5 7 0.650 13.000 6 11 0.550 11.000 7 6 0.500 10.000 8 8 0.500 10.000 9 14 0.500 10.000 10 10 0.450 9.000 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): agent x agent
Rank Agent Value Unscaled 1 15 1.000 20.000 2 18 0.850 17.000 3 3 0.750 15.000 4 5 0.750 15.000 5 10 0.700 14.000 6 9 0.650 13.000 7 4 0.600 12.000 8 20 0.600 12.000 9 19 0.550 11.000 10 21 0.550 11.000 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: agent x agent (size: 21, density: 0.452381)
Rank Agent Value Unscaled Context* 1 15 0.408 0.288 -0.982 2 2 0.397 0.281 -1.021 3 18 0.366 0.258 -1.140 4 3 0.360 0.255 -1.160 5 20 0.356 0.251 -1.177 6 1 0.347 0.246 -1.208 7 5 0.334 0.236 -1.258 8 9 0.328 0.232 -1.281 9 10 0.326 0.231 -1.286 10 21 0.325 0.230 -1.292 * Number of standard deviations from the mean of a random network of the same size and density
Mean: 0.302 Mean in random network: 0.672 Std.dev: 0.064 Std.dev in random network: 0.269 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): agent x agent
Rank Agent Value 1 15 0.288 2 2 0.281 3 18 0.258 4 3 0.255 5 20 0.251 6 1 0.246 7 5 0.236 8 9 0.232 9 10 0.231 10 21 0.230 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: agent x agent (size: 21, density: 0.452381)
Rank Agent Value Unscaled Context* 1 15 1.000 0.050 6.828 2 18 0.870 0.043 4.298 3 3 0.800 0.040 2.948 4 5 0.800 0.040 2.948 5 10 0.769 0.038 2.352 6 9 0.741 0.037 1.799 7 4 0.714 0.036 1.286 8 20 0.714 0.036 1.286 9 19 0.690 0.034 0.808 10 21 0.690 0.034 0.808 * Number of standard deviations from the mean of a random network of the same size and density
Mean: 0.645 Mean in random network: 0.648 Std.dev: 0.152 Std.dev in random network: 0.052 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): agent x agent
Rank Agent Value Unscaled 1 2 0.909 0.045 2 18 0.800 0.040 3 21 0.800 0.040 4 7 0.741 0.037 5 1 0.667 0.033 6 6 0.667 0.033 7 8 0.667 0.033 8 11 0.667 0.033 9 14 0.667 0.033 10 17 0.645 0.032 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: agent x agent (size: 21, density: 0.452381)
Rank Agent Value Unscaled Context* 1 18 0.234 88.917 7.822 2 21 0.158 60.127 4.836 3 7 0.073 27.625 1.464 4 10 0.048 18.297 0.497 5 1 0.036 13.747 0.025 6 4 0.036 13.709 0.021 7 20 0.021 7.979 -0.574 8 3 0.017 6.605 -0.716 9 15 0.016 6.133 -0.765 10 2 0.016 5.936 -0.786 * Number of standard deviations from the mean of a random network of the same size and density
Mean: 0.034 Mean in random network: 0.036 Std.dev: 0.057 Std.dev in random network: 0.025 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): agent x agent
Rank Agent Value 1 15 0.541 2 3 0.455 3 5 0.452 4 18 0.433 5 9 0.418 6 4 0.383 7 20 0.372 8 10 0.364 9 21 0.325 10 19 0.314 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): agent x agent
Rank Agent Value 1 2 0.501 2 18 0.437 3 1 0.392 4 21 0.389 5 11 0.385 6 8 0.356 7 7 0.343 8 14 0.339 9 17 0.323 10 6 0.323 Information centrality
Calculate the Stephenson and Zelen information centrality measure for each node.
Input network(s): agent x agent
Rank Agent Value Unscaled 1 15 0.066 4.655 2 18 0.063 4.448 3 3 0.062 4.344 4 5 0.061 4.331 5 10 0.060 4.221 6 9 0.059 4.180 7 20 0.058 4.084 8 4 0.057 4.053 9 19 0.056 3.928 10 21 0.055 3.909 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): agent x agent
Rank Agent Value 1 15 43.000 2 2 41.000 3 18 29.000 4 3 21.000 5 21 20.000 6 1 19.000 7 20 19.000 8 5 18.000 9 7 15.000 10 8 14.000 Simmelian ties
The normalized number of Simmelian ties of each node.
Input network(s): agent x agent
Rank Agent Value Unscaled 1 18 0.700 14.000 2 21 0.500 10.000 3 10 0.400 8.000 4 4 0.300 6.000 5 7 0.300 6.000 6 5 0.200 4.000 7 8 0.200 4.000 8 15 0.200 4.000 9 19 0.200 4.000 10 1 0.150 3.000 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): agent x agent
Rank Agent Value 1 16 0.611 2 13 0.589 3 19 0.573 4 11 0.571 5 14 0.564 6 8 0.549 7 12 0.524 8 6 0.522 9 17 0.518 10 1 0.504
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 18 15 15 15 2 2 15 18 2 21 18 2 2 18 18 18 21 3 7 3 18 18 21 21 3 15 4 10 5 3 3 1 7 5 10 5 1 10 20 20 7 1 10 2 6 4 9 1 1 11 6 9 7 7 20 4 5 5 6 8 4 3 8 3 20 9 9 8 11 20 4 9 15 19 10 10 14 14 19 5 10 2 21 21 21 10 17 21 20