Table 4: Benjamini–Hochberg rejections at level 0 . 05 for the gene expression problem of Hughes et al. (2000). For different test statistics (rows), the number of rejections (column 2), and their intersection with the rejections using the minimum p -value statistic on DDP (column 3). The minimum p -value statistic on DDP had the highest number of rejections, 3312. Test Number of rejections Number of intersections Spearman 2488 2445 MIC 245 245 Hoeffding 2890 2844 HHG on ranks 3283 3199 dCov on ranks 2889 2845 minimum p -value based on ADP 3310 3294 that have to be carried out, and that the suggested tests can be valuable tools for this task. Note that the data had ties due to low precision of the documented expression levels. Ties were broken randomly, see remark 2.1. Repeated analysis with different seeds provided similar results. Figure 6: Number of discoveries of genes with associated expression patterns in the data of Hughes et al. (2000), by the Benjamini–Hochberg procedure at level 0 . 05 using S DDP m × m (black) and S ADP m × m (gray) for m = 2 , . . . , 17 . In addition, number of rejections using the minimum p -value statistic with m$_{max}$ = 17, using the DDP (black horizontal line) and the ADP (gray horizontal line). 38 m partitions Rejections 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 2600 2800 3000 3200 3400