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E-I index does not seem to be optimal for this task. I presume the
network is directed, given that I would use Coleman Index. You should
find more information on these two and other aporoaches in the
following working paper:
On Fri, Jan 17, 2014 at 1:03 PM, Kerstin Sailer <[log in to unmask]> wrote:
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> Dear All,
> I would like to do a comparison of different organisations and their network
> structures (nodes are people, ties are frequency and usefulness of contacts,
> sizes vary significantly from n=100 to n=1000; data is survey-generated; key
> question was to identify the top 25 contacts from a list of everyone in the
> organisation and then give details on these contacts).
> One of the metrics I would like to compare (and where comparison is not
> straightforward at all, hence my email to ask for help / advice) is the E-I
> index, i.e. the degree to which contacts are within teams or across teams.
> The difficulty is that team sizes and numbers of teams within an
> organisation differ so much. For instance if organisation A has 10 teams of
> 10 members each, every participant would have to nominate members from
> outside their team to come up with 25 top contacts, hence the degree of
> external contact might be higher by default than for an organisation B with
> 2 teams of 50 members each, where each participant could possibly nominate
> all 25 top contacts within their own team.
> This is further complicated by the fact that not everyone participated in
> the survey (i.e. missing ties), that not everyone nominated 25 people (most
> people don't count and just use this as a rough guideline, or insist on
> nominating fewer or more), so outdegree is not always 25 for each member and
> of course this could vary by team as well (so members of one team, e.g. HR
> might nominate more people disproportionately if compared to the
> organisation's average because of their outreach role).
> Now, if anyone has come across any discussion of those problems in the
> literature, or anyone mathematically minded on the list has an idea on how
> to normalise these metrics so that they become comparable, I'd be very happy
> to hear about it!
> Thanks in advance!
> Dr Kerstin Sailer
> Lecturer in Complex Buildings
> The Bartlett School of Graduate Studies
> Faculty of the Built Environment
> University College London (UCL)
> 14 Upper Woburn Place
> London WC1H 0NN UK
> T: +44 (0) 20 3108 9031
> E: [log in to unmask]
> W: http://www.bartlett.ucl.ac.uk/graduate
> W: http://www.bartlett.ucl.ac.uk/people/?school=gs&upi=KSAIL15
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