[CollEc] CollEc App Offline

[Christian Zimmermann]

And N would happen to be close to a million?

Christian Zimmermann                          FIGUGEGL!
Economic Research
Federal Reserve Bank of St. Louis
P.O. Box 442
St. Louis MO 63166-0442 USA
https://ideas.repec.org/zimm/   @CZimm_economist

On Wed, 30 Dec 2020, D�ben, Christian wrote:

> I do use binary paths here. Weighted paths are not exported.
>
> As far as I understand it, there is one fixed closeness formula: 1 / (sum d). Just like the definitions of the mean, the variance, and other statistical measures are fixed. Your alternative measure appears to be (sum d) / N. Thus, multiplying my results by d^2 / N should produce your results. This is not about different path defintions. The former CollEc's closeness values are simply a scaled version of the new CollEc's closeness values. How does this make my results counter-intuitive? There is nothing different about the underlying paths.
>
> Christian D�ben
> Research Associate
> Chair of Macroeconomics
> Hamburg University
> Von-Melle-Park 5, Room 3102
> 20146 Hamburg
> Germany
> +49 40 42838 1898
> christian.dueben at uni-hamburg.de
> http://www.christian-dueben.com
>
> -----Original Message-----
> From: Thomas Krichel <krichel at openlib.org>
> Sent: Mittwoch, 30. Dezember 2020 04:27
> To: D�ben, Christian <Christian.Dueben at uni-hamburg.de>
> Cc: CollEc Run <collec-run at lists.openlib.org>
> Subject: Re: [CollEc] CollEc App Offline
>
>  D�ben, Christian writes
>
>> Thomas, how do you get closeness values larger than 1?
>
>  I use common sense. The closeness of a person is the
>  average distance from one to any other, for all others.
>  Since the distance between any pair is at least one,
>  the average must be larger than one.
>
>> Do you scale the results by some factor?
>
>  No.
>
>> Or is the distance between co-authors not 1 in your case?
>
>  It is.
>
>> With the closeness equation of C(v) = 1 / (\sum_{i \neq v} d(v, i))
>> where d(v, i) is the length of the shortest cost path between author v
>> and author i and d(v, i) \geq 1, any closeness value should be between
>> 0 and 1.
>
>  There is something counter-intuitive in this approach.
>
>  I said many times, if we don't use a binary model, we will leave our
>  users confused. Alternative weighing schemes should be used to
>  filter out from binary short paths that have the same
>  length. However, the way you do that will not have any impact on the
>  closeness, as expressed in my common sense understanding. It will
>  only impact the betweenness.
>
> -- 
>
>  Cheers,
>
>  Thomas Krichel                  http://openlib.org/home/krichel
>                                              skype:thomaskrichel
>
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