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Cluster analysis is the task of partitioning data into subsets of objects according to their mutual "similarity," without using preexisting knowledge such as class labels. [Clustered-standard-errors and/or cluster-samples should be tagged as such; do NOT use the "clustering" tag for them.]
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How to test if one factor classifies samples with a higher accuracy than another factor
Hierarchical clustering Another approach would be to use an unsupervised clustering approach such as hierarchical clustering, as discussed in this post, and see which factor splits the tree first. …