This is documentation for an old release of SciPy (version 0.10.0). Read this page Search for this page in the documentation of the latest stable release (version 1.15.1).

scipy.cluster.hierarchy.cophenet

scipy.cluster.hierarchy.cophenet(Z, Y=None)

Calculates the cophenetic distances between each observation in the hierarchical clustering defined by the linkage Z.

Suppose p and q are original observations in disjoint clusters s and t, respectively and s and t are joined by a direct parent cluster u. The cophenetic distance between observations i and j is simply the distance between clusters s and t.

Parameters :

Z : ndarray

The hierarchical clustering encoded as an array (see linkage function).

Y : ndarray (optional)

Calculates the cophenetic correlation coefficient c of a hierarchical clustering defined by the linkage matrix Z of a set of observations in dimensions. Y is the condensed distance matrix from which Z was generated.

Returns :

res : tuple

A tuple (c, {d}):

• c : ndarray

  The cophentic correlation distance (if y is passed).

• d : ndarray

  The cophenetic distance matrix in condensed form. The th entry is the cophenetic distance between original observations and .