CLUSTER ANALYSIS AS AN AID IN THE
INTERPRETATION OF
MULTI-ELEMENT GEOCHEMICAL DATA
RUDY C. OBIAL
Endeavour Oil Co. N. L.
ABSTRACT
Cluster analysis is a multivariate
statistical technique that may be used
to elaborate on sample and element
associations when a wide range of
elements or characteristics are
determined from geochemical samples. It
relies on an object or sample being
defined by a number of attributes or
variables which may be quantified- or
numberically coded. A data matrix is
therefore obtained consisting of a
number of samples with their
corresponding set of suitable coded or
quantified characters. Similarity
coefficients are calculated between each
pair of samples or variables depending
on whether samples (Q—mode) or variables
(R-mode) are being clustered. Most
clustering methods consist of grouping
the samples or variables on the basis of
the computed similarity coefficient, the
nucleus of clusters being formed by
joining the samples with highest
similarity coefficient and gradually
admitting more as the similarity
coefficient is lowered. Other clusters
are eventually initiated until finally
all the samples are linked. Various
options of clustering methods exist,
depending on the criterion of entry of a
sample or element into a cluster, e.g.
weighted and unweighted pair-group
average linkage method. The end product
of the clustering procedure can be
summarized as two-dimensional
hierarchical diagrams called dendrograms.
Geological
Society of the Philippines
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