Status Measure
Definition
A new measure of status or network centrality that takes into account both positive and negative relationships is suggested. This measure is based on the eigenvector measure of centrality, a standard measure in network research. Its use is illustrated with data from Sampson's well-known study of monks in a monastery.
The status score of each node correspond to eachelement of eigenvector. It is calculated as follows:
The status score of each node correspond to eachelement of eigenvector. It is calculated as follows:
Ay = γy
where A is the adjacency matrix of the network, γ is the largesteigenvalue and y is the eigenvector.
References
- Bonacich, P. and Lloyd, P., 2004. Calculating status with negative relations. Social networks, 26(4), pp.331-338.
DOI: 10.1016/j.socnet.2004.08.007
