Re: st: About Rank Tests with more than 2 ranked lists.

[Roger Newson <roger.newson@kcl.ac.uk>]

As I understand it (correct me if I'm wrong), you want to test the 
hypothesis that none of the 4 efficiency measures has a tendency to be 
higher than any of the rest. I do not know why you should want to do this. 
However, if that is what you want to do, then I would proceed as follows.

First, reshape the data (probably using -reshape-) to have one observation 
per individual per score (and therefore 4 observations per individual). The 
dataset created might have variables -id- identifying the individual 
assessed, -scoreseq- with values equal to 1, 2, 3 or 4 denoting which of 
the 4 scores the observation represents, and -score- containing the value 
of that score for that individual. Then, use -tabulate- to generate 4 new 
dummy variables indicating the 4 possible values of -scoreseq-. Then, 
calculate Somers' D of these 4 dummy variables with respect to -score- 
(clustering by -id-), and use -test- to test the hypothesis that all 4 of 
these Somers' D parameters are zero (as will be the case if none of the 4 
scores tends to be greater than, or less than, the other 3). After 
reshaping the data, the code might be as follows:

tabulate scoreseq, gene(scoreseq_)
somersd score scoreseq_*, tr(z) cluster(id)
test scoreseq_1 scoreseq_2 scoreseq_3 scoreseq_4

This should perform a chi-squared test for the hypothesis that all 4 
Somers' D parameters are zero.

I hope this helps.

Roger


At 13:06 10/10/2005, Alvaro wrote:

> Thank you very much for your response, Roger. I'm studying these pdf files 
> that you recommended.
>
> My intention is to compare 4 distributions to each other. My concern, 
> then, is on how to do it with only one application of a test, if possible. 
> If not, which tests would be available?
>
> best,
> alvaro
>
> --On 10 October 2005 12:27 +0100 Roger Newson <roger.newson@kcl.ac.uk> wrote:
>
>
> > At 11:07 10/10/2005, Alvaro wrote:
> > > Dear colleagues,
> > > I have four lists of efficiency scores, which allow to order several
> > > individuals according to their performance in different sectors.
> > > I need to test if these rank-distributions are similar.
> > >
> > > I wonder, is there any test that would help me to do this in just one
> > > test ?
> > Alvaro has not specified which rank distributions are to be compared with
> > which other rank distributions, or what question exactly is being asked.
> > However, the -somersd- package, downloadable from SSC, produces
> > confidence limits for a wide range of rank statistics, and probably can
> > do whatever Alvaro actually wants to do. It comes with a .pdf manual
> > which explains the principles behind these statistics.
> >
> > I hope this helps.
> >
> > Roger
> >
> >
> > --
> > Roger Newson
> > Lecturer in Medical Statistics
> > Department of Public Health Sciences
> > Division of Asthma, Allergy and Lung Biology
> > King's College London
> >
> > 5th Floor, Capital House
> > 42 Weston Street
> > London SE1 3QD
> > United Kingdom
> >
> > Tel: 020 7848 6648 International +44 20 7848 6648
> > Fax: 020 7848 6620 International +44 20 7848 6620
> >    or 020 7848 6605 International +44 20 7848 6605
> > Email: roger.newson@kcl.ac.uk
> > Website: http://phs.kcl.ac.uk/rogernewson/
> >
> > Opinions expressed are those of the author, not the institution.
> >
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--
Roger Newson
Lecturer in Medical Statistics
Department of Public Health Sciences
Division of Asthma, Allergy and Lung Biology
King's College London

5th Floor, Capital House
42 Weston Street
London SE1 3QD
United Kingdom

Tel: 020 7848 6648 International +44 20 7848 6648
Fax: 020 7848 6620 International +44 20 7848 6620
  or 020 7848 6605 International +44 20 7848 6605
Email: roger.newson@kcl.ac.uk
Website: http://phs.kcl.ac.uk/rogernewson/

Opinions expressed are those of the author, not the institution.

*
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