A Measure of Variance for Hierarchical Nominal Attributes

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Provided by: Elsevier
Topic: Data Management
Format: PDF
The need for measuring the dispersion of nominal categorical attributes appears in several applications, like clustering or data anonymization. For a nominal attribute whose categories can be hierarchically classified, a measure of the variance of a sample drawn from that attribute is proposed which takes the attribute's hierarchy into account. The new measure is the reciprocal of ''Consanguinity\": the less related the nominal categories in the sample, the higher the measured variance. For non-hierarchical nominal attributes, the proposed measure yields results consistent with previous diversity indicators.
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