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. 2023 Apr 10;25(2):541–558. doi: 10.1093/biostatistics/kxad007

Table 2.

Edge-level inference results across all settings. The TPR and FDR are calculated separately for each of the two subnetworks (Inline graphicInline graphic and Inline graphicInline graphic). The means (standard deviations) of TPR and FDR are summarized based on 100 repeated simulations. TPR is determined by the proportion of edges in Inline graphic that can be recovered by Inline graphic, and FDR is the proportion of edges in Inline graphic are not in Inline graphic. TPR = 1 and FDR = 0 suggest a perfect recovery of Inline graphic by Inline graphic. SICERS outperforms the comparable methods because the objective function can maximize the signal while suppressing noise, and thereby better recovers the underlying true Inline graphic. 

    Inline graphic Inline graphic
    Cohen’s Inline graphic 1.2 0.8 0.5 1.2 0.8 0.5
SICERS TPR Inline graphic 1(0) 0.87(0.2) 0.91(0.19) 1(0) 0.9(0.2) 0.88(0.2)
    Inline graphic 1(0) 1(0) 1(0) 1(0) 1(0) 1(0)
  FDR Inline graphic 0(0) 0(0) 0(0.01) 0(0) 0.02(0.04) 0.02(0.04)
    Inline graphic 0(0) 0.03(0.04) 0.09(0.21) 0(0) 0.04(0.05) 0.09(0.19)
Louvain TPR Inline graphic 1(0) 1(0) 1(0) 1(0) 1(0) 1(0)
    Inline graphic 1(0) 1(0) 1(0) 1(0) 1(0) 1(0)
  FDR Inline graphic 0.21(0.1) 0.58(0.12) 0.44(0.11) 0.25(0.11) 0.58(0.12) 0.41(0.16)
    Inline graphic 0.16(0.06) 0.03(0.03) 0.04(0.04) 0.16(0.05) 0.02(0.03) 0.03(0.03)
Dense TPR Inline graphic 1(0) 1(0) 1(0) 1(0) 1(0) 1(0)
    Inline graphic 1(0) 1(0) 1(0) 1(0) 1(0) 1(0)
  FDR Inline graphic 0(0) 0(0) 0(0) 0(0) 0(0) 0(0)
    Inline graphic 0(0) 0(0) 0.35(0.27) 0(0) 0(0) 0.52(0.13)
NBS TPR Inline graphic 1(0) NA NA 1(0) NA NA
    Inline graphic 1(0) NA NA 1(0) NA NA
  FDR Inline graphic 0.28(0.05) NA NA 0.21(0.1) NA NA
    Inline graphic 0.59(0.16) NA NA 0.54(0.21) NA NA
BH-FDR TPR   1(0) 0.95(0) 0.94(0) 1(0) 0.94(0.01) 0.75(0.01)
  FDR   0.18(0.01) 0.5(0) 0.54(0) 0.18(0.01) 0.5(0) 0.54(0.01)