
Rand index
Measure of similarity between two data clusterings

Measure of similarity between two data clusterings
The Rand index or Rand measure (named after William M. Rand) in statistics, and in particular in data clustering, is a similarity measure between two clusterings. It compares all pairs of elements and counts how often the two clusterings agree: either both place a pair in the same cluster, or both place the pair in different clusters. The Rand index has a value between 0 and 1, with 0 indicating that the two data clusterings do not agree on any pair of points and 1 indicating that the data clusterings are exactly the same. The adjusted Rand index (ARI) is a version of the Rand index corrected for the similarity expected by chance. It is commonly used to compare a clustering algorithm's output with a reference clustering, such as known class labels or a ground-truth partition.
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