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Une Méthodologie pour la Comparaison de Partitions

Genane Youness 1 Gilbert Saporta 1
1 CEDRIC - MSDMA - CEDRIC. Méthodes statistiques de data-mining et apprentissage
CEDRIC - Centre d'études et de recherche en informatique et communications
Abstract : We propose a methodology for comparing two partitions of the same data set. The study begins by presenting some measures of comparison: the Rand's measure of association, the asymmetric, and the corrected one. We also study two other indices: the first is based on an adaptation of Mac Nemar's test, the second being Jaccard's index. We present the logic form based on pair comparisons for this indexes as well as their sampling distribution under the assumption of independence. Stability of classes is studied by simulating data coming from a latent profile model which is a particular modal of a mixture distribution and we partition them according to 2 groups of variables.
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Genane Youness, Gilbert Saporta. Une Méthodologie pour la Comparaison de Partitions. Revue de Statistique Appliquée, Société française de statistique, 2004, 52, pp.97-120. ⟨hal-01124920⟩

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