JSM 2004 - Toronto

Abstract #301310

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Activity Number: 111
Type: Contributed
Date/Time: Monday, August 9, 2004 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistical Graphics
Abstract - #301310
Title: Social Network Blockmodels and Allegiance
Author(s): John T. Rigsby*+ and Jeffrey L. Solka
Companies: Naval Surface Warfare Center Dahlgren Division and Naval Surface Warfare Center Dahlgren Division
Address: 17320 Dahlgren Rd. B10, Dahlgren, VA, 22448,
Keywords: social network analysis ; graph theory ; computer networks ; blockmodel
Abstract:

Social Network Analysis is the study and analysis of groups as social entities to attempt to mathematically understand the interactions of people and groups in society. This analysis includes concepts such as nodes and ties, groups, subgroups, cliques, social prominence and rank, centrality, and prestige. Computers have forms of social interactions; they connect to each other and have client/server and peer to peer relationships. Computers also have trust relationships. Grouping computers into social cliques or block structures is difficult because of the different roles of computers. This paper covers a new way to estimate the number of blockmodel partitions and help with measuring change in the network model over time. The measure is called allegiance and deals with measuring actor strength as the blockmodel changes. The change in an actor's allegiance over time can be used to measure changes in the network and explain blockmodel differences.

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