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Re: Power Laws and Other Degree Distributions

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Tue, 24 Feb 2009 06:59:45 -0800

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 ***** To join INSNA, visit http://www.insna.org ***** You might want to check out this paper: Hamilton, D., Handcock, M. & Morris, M. 2008. Degree distributions in sexual networks: A framework for evaluating evidence. Sex Transm Dis, 35(1): 30-40. On Tue, 24 Feb 2009, John McCreery wrote: > ***** To join INSNA, visit http://www.insna.org ***** > > As I prepare my presentation for Sunbelt, I am checking the networks my data > reveal for the kinds of properties that I read about in sources that include > Newman, Barabási, and Watts (2006), The Structure and Dynamics of Networks. > > 1. Giant components? Check > 2. Giant bicomponents that approach the size of the giant components? > Check? > 3. Right-skewed degree distributions? Check > > But then I read, in the introduction to Chapter 3, a discussion of Amaral, > et. al. (2000), a paper that examines five networks and discovers that none > have power-law degree distributions. > > Instead, all of them are right-skewed but with non-power-law distributions: >> the power grid and air traffic networks have exponential distributions, the >> high school and Mormon networks have Gaussian distributions, and the movie >> actor network has an exponentially truncated power-law distribution. > > > Here my mathematical ignorance blocks further understanding. I want to know > how to do the calculations to determine which kind of distributions best fit > my data. My rapid survey of Wikipedia articles on power laws, O > descriptions, that sort of thing, leaves me with the impression that this is > a black art; but, I suspect, I am missing something. > > Can anyone here direct me to a curve-fitting for dummies primer that will > shed some light on my problem or some smart person who already knows how to > do this sort of thing? > > Your help will be greatly appreciated. > > John McCreery > The Word Works, Ltd., Yokohama, JAPAN > Tel. +81-45-314-9324 > [log in to unmask] > http://www.wordworks.jp/ > > _____________________________________________________________________ > 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. > ****************************************************************   Professor of Sociology and Statistics   Director, UWCFAR Sociobehavioral and Prevention Research Core   Box 354322   University of Washington   Seattle, WA 98195-4322   Office: (206) 685-3402   Dept Office: (206) 543-5882, 543-7237   Fax: (206) 685-7419 [log in to unmask] http://faculty.washington.edu/morrism/ _____________________________________________________________________ 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.