Premium
Display aspects in hierarchical clustering
Author(s) -
Henrion André,
Henrion René,
Henrion Günter
Publication year - 1989
Publication title -
journal of chemometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.47
H-Index - 92
eISSN - 1099-128X
pISSN - 0886-9383
DOI - 10.1002/cem.1180030310
Subject(s) - ultrametric space , multidimensional scaling , cluster analysis , computer science , hierarchical clustering , cluster (spacecraft) , scaling , object (grammar) , constellation , plane (geometry) , space (punctuation) , theoretical computer science , artificial intelligence , pattern recognition (psychology) , algorithm , data mining , mathematics , machine learning , geometry , physics , discrete mathematics , metric space , astronomy , programming language , operating system
Ultrametric inter‐object distances found by hierarchical clustering may be used to generate and appropriate constellation of points in a plane. A configuration of points which reproduce the ultrametric distances in a low‐dimensional space as closely as possible can be found by Torgerson's method of multidimensional scaling. The resulting display supports the cognition of clusters very well, and for this purpose it seems to be superior to, for instance, the frequently applied principal components display. In certain situations dedrograms are expected to become simpler to interpret when such complementary ‘cluster display’ is also consulted. An example from analytical chemistry is presented.