clue (version 0.1-0)

validity: Validity Measures for Partitions and Hierarchies

Description

Compute validity measures for partitions and hierarchies, attempting to measure how well these clusterings capture the underlying structure in the data they were obtained from.

Usage

cl_validity(x, ...)
## S3 method for class 'default':
cl_validity(x, d, ...)

Arguments

x

an object representing a partition or hierarchy.

d

a dissimilarity object from which x was obtained.

...

arguments to be passed to or from methods.

Value

• A list of class "cl_validity" with the computed validity measures.

Details

cl_validity is a generic function.

For partitions, its default method gives the dissimilarity accounted for, defined as $$\sum_{i,j} \sum_k m_{ik}m_{jk} d_{ij} / \sum_{i,j} d_{ij}$$ where $d$ and $m$ are the dissimilarities and memberships, respectively, and the sum is over all pairs of objects and all classes.

For hierarchies, currently no validity measures are computed by default. For the results of using agnes and diana, the agglomerative and divisive coefficients are provided.

See Also

cluster.stats in package fpc for a variety of cluster validation statistics; fclustIndex in package e1071 for several fuzzy cluster indexes; clustIndex in package cclust; silhouette in package cluster.