Thanks (again) to Kit Baum, the new package "rel_clust" is available on SSC.
-rel_clust- computes indices of relative clusterability of a set of
variables according to Steinley and Brusco (2008) and implements their
variance-to-range ratio weighting procedure for use in cluster analysis.
-rel_clust- can be used to transform a set of variables by
z-standardization, by standardization by range, or by variance-to-range
(VR) ratio weighting. The VR ratio weighting procedure was designed
specifically for cluster analysis: It reflects the degree of
"clusterability" of the set of variables used. According to Steinley and
Brusco (2008), VR ratio weighting of variables together with their
proposed variable selection procedure increases the ability of K-means
cluster analysis to accurately recover the true cluster structure.