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Cluster graphs

2 messages · Brian Ripley, Jonathan Rougier

#
On Thu, 30 Sep 1999, Stephen R. Laniel wrote:

            
Yes, and also up to reflections.
This problem is usually known as multidimensional scaling, I think because
influence of psychometricians.  There is an R function cmdscale in package
mva for `classical' MDS, where the distances really are Euclidean
distances, and functions sammon and isoMDS (to which it refers) for other
`distances' are in package MASS in the VR6 bundle on CRAN.

You will find a description of this in most Multivariate Analysis texts,
and in Venables & Ripley.
#
On Fri, 1 Oct 1999, Prof Brian D Ripley wrote:

            
I woud recommend K.V. Mardia, J.T. Kent and J.M. Bibby, "Multivariate
Analysis" (Academic Press, 1979), ch 14, which starts

  "Multidimensional scaling (MDS) is concerned with the problem of
  constructing a configuration of $n$ points in Euclidean space using
  information about the distances between the $n$ objects."

Cheers, Jonathan. 

Jonathan Rougier                       Science Laboratories
Department of Mathematical Sciences    South Road
University of Durham                   Durham DH1 3LE

"[B]egin upon the precept ... that the things we see are to be 
 weighed in the scale with what we know"  (Meredith, 1879, The Egoist)


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