When the Arc-Cosine transformation
is applied, ArrayMiner uses the actual angle between two profile vectors
as distance measure, instead of the cosine of the angle between the vectors.
Both the Pearson Coefficient and the standard
correlation use the transformation in ArrayMiner. Indeed, the raw correlations
sometimes used in other clustering tools can be shown not to comply with
what is called the triangular inequality, which means that such a measure
is not a metric in the mathematical sense. The triangular inequality captures
the intuitive notion that going from point A to a point B should not be
longer than going from A to B via a third point C. Accordingly, clustering
results obtained with a non-metric distance measure may be awkward and
counterintuitive.
Arc-Cosine Transformation
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