Re: st: Nested design problem

[Marcello Pagano <pagano@hsph.harvard.edu>]

You might want to look at the geo-spatial literature; you have a 
distance matrix between individuals where some of the distances may be 
infinite.

m.p.

On 11/16/2012 7:32 AM, Steven Raemaekers wrote:
> Hello David,
>
> Thanks for your response! You can view the connections between people as a directed graph, with arbitrary arrows between people when they have a connection.
> There is not a value for each possible pair of people, a lot of connections are missing and are then considered irrelevant, but I'm only interested in the subjects which have connections to other people so this should not be a problem.
>
> Maybe it is indeed an analysis problem because I have already collected the data and I already know my research question. Then the question becomes more how to choose a statistical model that does most justice to reality.
>
> Regards,
>
> Steven
>
> On 16 nov. 2012, at 13:13, David Hoaglin wrote:
>
> > Hi, Steven.
> >
> > The problem you describe is interesting.  I don't recall seeing
> > anything like it in the statistical literature.  I view it as an
> > analysis problem, rather than a design problem (you have already
> > collected the data).  Some of the work in sociology on networks may be
> > relevant.
> >
> > I think it would be more appropriate to consider closeness as the
> > dependent variable.
> >
> > Do you have a value of closeness for each of the possible pairs of
> > people?  If not, what is the structure of the subset of people for
> > whom you do have closeness?
> >
> > David Hoaglin
> >
> > On Thu, Nov 15, 2012 at 4:44 PM, Steven Raemaekers <s.raemaekers@sig.eu> wrote:
> > > Hello,
> > >
> > > I do not know where else to post this problem so I hope somebody can help me here. I have a statistical design issue which is as follows.
> > > As an example, let's say I have a table with information on people in the following format:
> > >
> > > Id                      IQ              Introvertness           …
> > > person1         120             80                              …
> > > person2         110             70                              …
> > > person3         130             40                              …
> > >
> > > This table contains a number of properties of certain persons, each person is a unique entry in this table. I also have a table which contains relationships between those persons:
> > >
> > > Id1             Id2             Closeness
> > > person1 person2 80
> > > person1 person3 70
> > >
> > > "Closeness" is a property of the relationship between person1 and person2. The numbers do not make sense but are just for illustration.
> > >
> > > Now I want to test whether people that are in relationships "closer" to each other are more intelligent. I also possibly want to take into account other properties of people.
> > > In regression terms: I want to regress the dependent variable IQ on the independent variable closeness and introvertness. How can I do this?
> > >
> > > The problem is, persons can appear multiple time in the list so applying normal linear regression or correlation on this table produces incorrect results.
> > > Additionally, there are two sides to the relationship, so there is a connection between the IQ of person1, the closeness of their relationship and the IQ of person2.
> > > I believe the thing I need is called a nested hierarchical model/mixed model, but I have no idea how to design this.
> > >
> > > My questions are therefore the following:
> > > 1) What statistical test do I need to test my hypothesis on this data?
> > > 2) What assumptions does this test make and how can I check these assumptions?
> > > 3) How should I format my data?
> > > 4) What are the commands in Stata to execute this test?
> > >
> > > Thanks very much!
> > >
> > > Regards,
> > >
> > > Steven Raemaekers
> > > PhD student
> > > Software Improvement Group/TU Delft
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