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. 2024 Dec 19;24:307. doi: 10.1186/s12874-024-02426-9

Table 5.

Results for scenario 3, displaying all indicators average over the 50 repetitions

Constant correlation Non constant correlation
FSM AUC Se Spe NSIF NSNIF Stability Runtime Rank FSM AUC Se Spe NSIF NSNIF Stability Runtime Rank
αmax=0.9
FULL 84.66 84.80 85.18 6.00 94.00 1.00 0.03 11 FULL 85.64 84.46 84.57 6.00 94.00 1.00 0.00 11
CFS 85.68 86.56 85.54 5.94 19.82 0.393 9.46 2 CFS 85.81 86.09 86.29 6.00 8.08 0.625 4.20 1
CHI2 85.40 85.95 85.47 6.00 45.00 1.00 0.58 5 CHI2 85.40 85.36 86.34 6.00 41.42 0.897 0.52 7
GAMMA_BACK 84.90 85.26 85.16 6.00 64.24 0.712 68.64 10 GAMMA_BACK 84.93 85.41 85.21 6.00 57.16 0.570 73.57 10
GAMMA_BF 84.95 85.45 85.23 6.00 57.56 0.725 42.92 9 GAMMA_BF 85.29 85.69 85.64 6.00 35.48 0.408 25.94 9
GAMMA_FORW 84.95 85.45 85.23 6.00 57.56 0.725 31.95 8 GAMMA_FORW 85.29 85.69 85.64 6.00 35.48 0.408 18.89 8
LASSO 85.62 86.04 85.79 5.92 7.24 0.373 2.99 1 LASSO 85.48 85.90 85.89 5.94 3.48 0.562 2.91 2
RFI 69.82 69.90 70.74 2.70 15.30 0.551 18.36 7 RFI 71.63 74.33 69.95 3.00 0.32 0.489 17.72 5
STEP 85.46 86.40 85.16 6.00 11.08 0.283 18.71 3 STEP 85.33 84.94 86.57 6.00 9.54 0.299 15.39 3
SU 85.40 85.95 85.47 6.00 45.00 1.00 0.68 6 SU 80.92 80.24 82.47 5.02 33.10 0.583 0.62 6
SVM-RFE 85.50 85.75 86.07 6.00 10.02 0.310 55.89 4 SVM-RFE 85.55 85.73 86.24 6.00 8.28 0.348 55.58 4
αmax=0.6
FULL 84.60 85.56 84.47 6.00 94.00 1.00 0.00 11 FULL 84.72 84.72 85.50 6.00 94.00 1.00 0.00 11
CFS 85.94 85.89 86.68 6.00 5.96 0.559 3.94 3 CFS 86.01 86.06 86.61 6.00 0.24 0.935 1.88 1
CHI2 85.45 86.20 85.39 6.00 44.98 0.999 0.52 7 CHI2 85.72 85.84 86.19 6.00 27.76 0.655 0.51 9
GAMMA_BACK 84.83 85.77 84.68 6.00 62.52 0.670 68.40 10 GAMMA_BACK 85.24 85.16 85.98 6.00 40.44 0.383 94.79 10
GAMMA_BF 85.31 85.40 85.98 6.00 36.48 0.412 27.75 9 GAMMA_BF 85.61 85.60 86.37 6.00 16.92 0.473 13.93 6
GAMMA_FORW 85.31 85.40 85.98 6.00 36.48 0.412 20.63 8 GAMMA_FORW 85.61 85.60 86.37 6.00 16.92 0.473 10.29 5
LASSO 85.22 85.29 85.84 5.88 2.76 0.607 2.42 2 LASSO 85.45 85.51 86.08 5.92 2.06 0.669 2.42 4
RFI 86.03 85.94 86.78 6.00 0.00 1.00 17.55 1 RFI 85.91 85.99 86.53 5.98 0.00 0.993 17.03 2
STEP 85.41 85.42 86.08 6.00 12.56 0.267 18.60 4 STEP 85.28 85.60 85.75 6.00 13.26 0.261 18.25 7
SU 84.28 83.98 85.25 5.72 25.18 0.511 0.62 5 SU 84.20 83.99 85.16 5.64 0.56 0.852 0.61 3
SVM-RFE 85.59 85.91 85.96 6.00 8.68 0.325 59.76 6 SVM-RFE 85.52 85.54 86.28 6.00 9.42 0.315 58.75 8
αmax=0.3
FULL 84.73 84.38 85.84 6.00 94.00 1.00 0.00 11 FULL 84.64 84.95 85.07 6.00 94.00 1.000 0.00 11
CFS 86.23 87.02 86.07 6.00 0.00 1.000 1.81 1 CFS 86.05 86.18 86.67 6.00 0.00 1.000 1.80 3
CHI2 86.19 86.87 86.17 6.00 1.92 0.841 0.50 4 CHI2 86.04 86.23 86.61 6.00 0.02 0.994 0.51 2
GAMMA_BACK 85.44 85.69 85.93 6.00 28.70 0.310 109.10 10 GAMMA_BACK 85.45 85.68 85.91 6.00 23.14 0.325 118.05 10
GAMMA_BF 85.71 86.01 86.16 6.00 17.10 0.440 13.97 7 GAMMA_BF 85.56 85.69 86.15 6.00 15.88 0.371 12.49 7
GAMMA_FORW 85.71 86.01 86.16 6.00 17.10 0.440 10.33 6 GAMMA_FORW 85.56 85.69 86.15 6.00 15.88 0.371 9.10 6
LASSO 85.85 86.63 85.71 5.98 4.56 0.587 2.38 5 LASSO 85.36 85.84 85.52 5.90 2.40 0.646 2.40 5
RFI 86.23 87.02 86.07 6.00 0.00 1.000 17.43 3 RFI 86.05 86.18 86.67 6.00 0.00 1.000 17.50 4
STEP 85.28 85.96 85.33 6.00 15.56 0.251 21.37 8 STEP 85.27 85.51 85.85 6.00 14.14 0.255 19.87 8
SU 85.73 86.39 85.77 5.90 0.00 0.967 0.62 2 SU 86.05 86.18 86.67 6.00 0.00 1.000 0.59 1
SVM-RFE 85.54 85.90 85.93 6.00 10.64 0.291 60.70 9 SVM-RFE 85.47 86.01 85.74 6.00 9.52 0.305 60.91 9

The best value of each indicator is highlighted with bold and underline. The second-best value is highlighted in bold. The indicators for the FULL model are not highlighted in the table since the focus of the study is to compare the feature selection methods

Abbreviations: FSM Feature Selection Methods, Se Sensitivity, Spe Specificity, NSIF Number of Selected Informative Features, NSNIF Number of Selected Non-Informative Features