R: compute and plot cluster validity

clvalidity {chemometrics} | R Documentation

## compute and plot cluster validity

### Description

A cluster validity measure based on within- and between-sum-of-squares is computed and plotted for the methods k-means, fuzzy c-means, and model-based clustering.

### Usage

    clvalidity(x, clnumb = c(2:10))

### Arguments

`x` | input data matrix
`clnumb` | range for the desired number of clusters

### Details

The validity measure for a number `k` of clusters is ∑_j W_j divided by ∑_{j<l} B_{jl} with W_j is the sum of squared distances of the objects in each cluster cluster to its center, and B_{jl} is the squared distance between the cluster centers of cluster `j` and `l`.

### Value

`validity` | vector with validity measure for the desired numbers of clusters

### Author(s)

Peter Filzmoser <P.Filzmoser@tuwien.ac.at>

### References

K. Varmuza and P. Filzmoser: Introduction to Multivariate Statistical Analysis in Chemometrics. CRC Press, Boca Raton, FL, 2009.

### See Also

`princomp`

### Examples

    data(glass)
    require(robustbase)
    res <- pcaCV(glass,segments=4,repl=100,cex.lab=1.2,ylim=c(0,1),las=1)

[Package chemometrics version 1.4.2 Index]