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Rousseeuw, P.J., Kaufman, L. and Trauwaert, E. (1996), "Fuzzy clustering using scatter matrices," Computational Statistics and Data Analysis, 135--151.

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Robust Cluster Analysis Via Mixtures Of Multivariate.. - McLachlan, Peel (1998)   (3 citations)  (Correct)

.... (1997) The related problem of making clustering algorithms more robust has received much attention recently as, for example, in McLachlan and Basford (1988, Chapter 3) De Veaux and Kreiger (1990) Campbell (1994) Dav e and Krishnapuram (1996) Frigui and Krishnapuram (1996) Kharin (1996) and Rousseeuw, Kaufman, and Trauwaert (1996), and Zhuang et al. 1996) among others. In the past, there have been many attempts at modifying existing methods of cluster analysis to provide robust clustering procedures. Some of these have been of a rather ad hoc nature. The t mixture model provides a sound mathematical basis for a robust ....

Rousseeuw, P.J., Kaufman, L., and Trauwaert, E. (1996). Fuzzy clustering using scatter matrices. Computational Statistics and Data Analysis 23, 135--151.


Displaying a Clustering with CLUSPLOT - Pison, Struyf, Rousseeuw (1998)   (1 citation)  Self-citation (Rousseeuw)   (Correct)

....has displayed the data relative to the principal components rather than to the original axes. The reason is that component 1, with the largest dispersion, is then plotted on the longest axis (i.e. the horizontal one) Example. This example uses a data set from a Belgian factory of nuclear fuel (Rousseeuw, Kaufman and Trauwaert 1996). The variables are the concentration of four isotopes, in 45 batches of plutonium. In CLUSPLOT we can choose to apply principal component analysis on either the correlation matrix or the covariance matrix. Here the latter is used. The clusplots in Figure 2 give a two dimensional representation ....

....in the S PLUS environment. In particular, we could use the intrinsic functions princomp for PCA and cmdscale for MDS. Moreover, S PLUS has incorporated several clustering algorithms, including (since version 3. 4) the functions daisy, pam, fanny and clara implemented by (Struyf, Hubert and Rousseeuw 1996; henceforth SHR) The S PLUS call to clusplot is of the form clusplot(x, clus, diss = T, cor = T, stand = F, lines = 2, shade = F, color = F, labels = 0, plotchar = T, span = T) It is always necessary to specify the first three arguments, whereas the others may be left out, in which case the ....

Rousseeuw, P.J., Kaufman, L. and Trauwaert, E. (1996), "Fuzzy clustering using scatter matrices," Computational Statistics and Data Analysis, 135--151.

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