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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.