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Re: Comparing average strength of ties in ego networks of different size

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Sun, 8 Apr 2018 09:30:32 +0200

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 ```***** To join INSNA, visit http://www.insna.org ***** On 08-04-2018 01:50, Kamal Badar wrote: > ***** To join INSNA, visit https://urldefense.proofpoint.com/v2/url?u=http-3A__www.insna.org&d=DwIDaQ&c=pZJPUDQ3SB9JplYbifm4nt2lEVG5pWx2KikqINpWlZM&r=uXI5O6HThk1ULkPyaT6h2Ws3RKNKSY__GQ4DuS9UHhs&m=l89AGwpOPH_LSQ971-zI_UAkAYkAtHoGQukqCGkxV2U&s=dPLkoRT6ngdXr26A0WFuwzUVdRBj12fZyf5bOSp4XLY&e= ***** > Dear All, > > I am looking for a measure which compares ego networks of different > size. Here is the scenario postulated step by step: > > 1)  The egos rate their ties (social support) with their alters on a > 0-6 scale.  > 2)  We are not interested to know the ties/strength of ties among > alters. > 3)  We then want to know the average strength of each egos' ties. > Here is a problem: So if one ego is connected to to 3 alters with > valued ties of say 3, 4, 6 which sums up to 13 and 13/3= 4.333 is the > average. Then there is another ego connected to only one alter with a > valued tie of 6 and then 6/1 is 6 which doesn't make sense.    > > How to resolve this problem? Do we have a measure to address this > problem?     An option is that you assume that each node can link to D (maximum degree)    nodes. Assign to missing links the value 0. Then the average strength is    equal to        sum of weights / D    If D=5, you get 13/5 = 2.6 for the first case and 6/5 = 1.2 for the second    case.    Vlado -- Vladimir Batagelj   IMFM - Institute of Mathematics, Physics and Mechanics   Jadranska 19, 1000 Ljubljana, Slovenia and   University of Primorska, Andrej Marušič Institute, Koper T: +386 1 4766 672 W: https://urldefense.proofpoint.com/v2/url?u=http-3A__vladowiki.fmf.uni-2Dlj.si_doku.php-3Fid-3Dvlado&d=DwIDaQ&c=pZJPUDQ3SB9JplYbifm4nt2lEVG5pWx2KikqINpWlZM&r=uXI5O6HThk1ULkPyaT6h2Ws3RKNKSY__GQ4DuS9UHhs&m=l89AGwpOPH_LSQ971-zI_UAkAYkAtHoGQukqCGkxV2U&s=00OLW0pVwGjzui7r-rkLHfb43oaTZ7LiUUnHVsYl3Bw&e= _____________________________________________________________________ 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.```