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Table 1 Synthetic data: comparison of the χ2 and Bernstein inequality-based tests.

From: Discovering multi–level structures in bio-molecular data through the Bernstein inequality

Test Structures discovered (10−5 significance level)
χ2 3-clustering
6-clustering  
Bernstein ind. 3-clustering
6-clustering  
7-clustering  
Bernstein 3-clustering
6-clustering  
7-clustering  
12-clustering  
Bernstein ind. stands for the Bernstein test with assumption of independence between the random variables representing the empirical mean of the similarity measures.