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A General Coefficient of Similarity and Some of Its Properties

J. C. Gower
Biometrics
Vol. 27, No. 4 (Dec., 1971), pp. 857-871
DOI: 10.2307/2528823
Stable URL: http://www.jstor.org/stable/2528823
Page Count: 15
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A General Coefficient of Similarity and Some of Its Properties
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Abstract

A general coefficient measuring the similarity between two sampling units is defined. The matrix of similarities between all pairs of sample units is shown to be positive semidefinite (except possibly when there are missing values). This is important for the multidimensional Euclidean representation of the sample and also establishes some inequalities amongst the similarities relating three individuals. The definition is extended to cope with a hierarchy of characters.

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