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Weighted degree-style centrality index?

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Fri, 9 Jun 2006 01:59:32 +0200

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 ***** To join INSNA, visit http://www.insna.org ***** Hi SocNetters, I have a question on a centrality index - don't know if I just invented a new one, or whether I have reinvented an old wheel of unknown quality... In my PhD thesis, I play around with intl trade flow matrices, i.e. directional valued matrices with quite large value-spans between different actors. While primarily looking at the role-structures (conceptualized through regular equivalence), I am also interested in looking at the relationship between different indices of "centrality" and more mainstream (actor-based) attributes on economic well-being. As I am especially interested in the number of trading partners each country has, both with regards to exports and imports, I have experimented with a simple heuristic for counting the number of significant trading partners for each country. However, I don't know if this same procedure has been done before - and if so, what this type of degree-style centrality index is called. How I calculate the number of partners an actor has: First, I look at the "outflow profile", i.e. the row-vector for each actor. Each outflow that is larger than 0.5 percent of the total outflow is included in my count. I.e., if an actor has a total outdegree of 1000, I count the number of outflows which are higher than 5. Secondly, I do the same thing for the "inflow profile", i.e. by looking at the col-vector for each actor. Similarly, I count all inflows that are above 0.5 percent of the total inflows to the actor. Then I calculate total number of partners by adding the number of inbound and outbound partners. (The 0.5 percent "significance threshold" is of course arbitrary). (As the same partner actor could be counted twice - inbound as well as outbound - one could choose to only count each trading partner once). What I thus try to do is to only count the number of "significant" partners, where significance is defined on a per-actor basis. The resulting index is very interesting for my data-set: I find a statistical association between total number of trading partners (weighted to total trade flows) and economic well-being. What is this centrality index called (as I assume the above has been done before)? Yours, Carl -- Carl Nordlund, BA, PhD student carl.nordlund(at)humecol.lu.se Human Ecology Division, Lund university www.humecol.lu.se _____________________________________________________________________ SOCNET is a service of INSNA, the professional association for social network researchers (http://www.insna.org). To unsubscribe, send an email message to [log in to unmask] containing the line UNSUBSCRIBE SOCNET in the body of the message.