I have a "distance matrix". let's say a 6x6 distance matrix, each cell is the Mahalanobis distance of two "clusters" (or sets/groups of things in a multidimensional space),
I want to "count" the number of actual clusters (significantly separated clusters) using this distance matrix,
My question is if I only know the Mahalanobis distance between two clusters can I say anything about how well they are separated?
More information: these distances come from a Gaussian Mixture model fitting 6 Gaussians to a dataset that can have 1-4 actual clusters in it.