Comparing two partitions: Some Proposals and Experiments

Saporta, Gilbert; Youness, Genane

HAL, hal-01124747 / Harvested from HAL

Résumé

We propose a methodology for finding the empirical distribution of the Rand's measure of association when the two partitions only differ by chance. For that purpose we simulate data coming from a latent profile model and we partition them according to 2 groups of variables. We also study two other indices: the first is based on an adaptation of Mac Nemar' test, the second being Jaccard' index. Surprisingly, the distributions of the 3 indices are bimodal.

Publié le : 2002-01-01
Classification: classification, partition, cluster analysis, analyse typologique, [INFO]Computer Science [cs], [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST]

@article{hal-01124747,
     author = {Saporta, Gilbert and Youness, Genane},
     title = {Comparing two partitions: Some Proposals and Experiments},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01124747}
}

Saporta, Gilbert; Youness, Genane. Comparing two partitions: Some Proposals and Experiments. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-01124747/