Table 2.
Performance measures of Cox and SVR models using different kernels and datasets when all features are included in the model. Statistical significant differences between SVR based model 1 (indicated in >italic) and the other models are indicated based on the Wilcoxon rank sum test.
Dataset | Model | Type of kernel | c-index | Log rank test statistic | Hazard ratio |
---|---|---|---|---|---|
BC | Cox model | — | 0.61 ± 0.03 | 1.38 ± 1.10 | 1.22 ± 0.11∗∗ |
SVR based model 1 | Linear | 0.61 ± 0.03 | 1.85 ± 1.48 | 1.33 ± 0.14 | |
SVR-MRL based model 1 | Linear | 0.62 ± 0.03 | 1.95 ± 1.44 | 1.33 ± 0.15 | |
SVR based model 2 | Linear | 0.60 ± 0.03 | 1.76 ± 1.33 | 1.31 ± 0.14 | |
SVR based model 1 | RBF | 0.56 ± 0.03∗∗∗ | 0.52 ± 0.46∗∗∗ | 1.13 ± 0.07∗∗∗ | |
SVR based model 2 | RBF | 0.54 ± 0.05∗∗∗ | 0.64 ± 0.64∗∗∗ | 1.14 ± 0.11∗∗∗ | |
SVR based model 1 | Polynomial | 0.59 ± 0.04∗ | 1.56 ± 1.56 | 1.23 ± 0.17∗∗ | |
SVR based model 2 | Polynomial | 0.57 ± 0.08∗∗∗ | 0.88 ± 0.88∗∗∗ | 1.19 ± 0.23∗∗∗ | |
SVR based model 1 | Clinical | 0.60 ± 0.02∗ | 1.47 ± 1.11 | 1.26 ± 0.14 | |
SVR based model 2 | Clinical | 0.60 ± 0.04∗ | 1.14 ± 0.97∗∗ | 1.27 ± 0.14 | |
CD | Cox model | — | 0.64 ± 0.01 | 20.81 ± 5.33 | 1.53 ± 0.07 |
SVR based model 1 | Linear | 0.64 ± 0.01 | 21.59 ± 5.53 | 1.49 ± 0.07 | |
SVR based model 2 | Linear | 0.64 ± 0.01 | 22.17 ± 6.41 | 1.51 ± 0.07 | |
SVR-MRL based model 1 | Linear | 0.66 ± 0.01 | 22.60 ± 5.51 | 1.50 ± 0.09 | |
SVR based model 1 | RBF | 0.61 ± 0.01∗∗∗ | 12.13 ± 3.49∗∗∗ | 1.46 ± 0.08∗∗ | |
SVR based model 2 | RBF | 0.61 ± 0.01∗∗∗ | 11.98 ± 3.98∗∗∗ | 1.43 ± 0.07∗∗∗ | |
SVR based model 1 | Polynomial | 0.63 ± 0.01∗ | 18.94 ± 7.05∗ | 1.56 ± 0.11 | |
SVR based model 2 | Polynomial | 0.63 ± 0.02∗∗ | 14.72 ± 9.65∗∗ | 1.54 ± 0.17 | |
SVR based model 1 | Clinical | 0.65 ± 0.01 | 22.63 ± 4.80 | 1.63 ± 0.07 | |
SVR based model 2 | Clinical | 0.65 ± 0.01 | 22.28 ± 5.12 | 1.65 ± 0.07 | |
PT | Cox model | — | 0.70 ± 0.05∗∗ | 2.13 ± 1.50∗∗ | 1.41 ± 0.24∗∗∗ |
SVR based model 1 | Linear | 0.74 ± 0.06 | 3.18 ± 2.24 | 2.08 ± 0.49 | |
SVR based model 2 | Linear | 0.74 ± 0.06 | 3.14 ± 1.92 | 2.14 ± 0.48 | |
SVR-MRL based model 1 | Linear | 0.76 ± 0.06 | 3.91 ± 2.40 | 2.12 ± 0.49 | |
SVR based model 1 | RBF | 0.68 ± 0.06∗∗∗ | 0.81 ± 0.75∗∗∗ | 1.45 ± 0.30∗∗∗ | |
SVR based model 2 | RBF | 0.67 ± 0.05∗∗∗ | 0.84 ± 0.74∗∗∗ | 1.45 ± 0.28∗∗∗ | |
SVR based model 1 | Polynomial | 0.74 ± 0.05 | 3.69 ± 2.03 | 2.15 ± 0.52 | |
SVR based model 2 | Polynomial | 0.76 ± 0.06 | 3.76 ± 2.32 | 2.35 ± 0.49 | |
SVR based model 1 | Clinical | 0.71 ± 0.07∗∗ | 1.85 ± 1.67∗∗ | 1.83 ± 0.46∗∗ | |
SVR based model 2 | Clinical | 0.70 ± 0.07∗∗ | 1.60 ± 1.42∗∗∗ | 1.83 ± 0.48∗∗ | |
PD | Cox model | — | 0.82 ± 0.02∗∗∗ | 23.11 ± 5.24∗∗ | 2.67 ± 0.31∗∗∗ |
SVR based model 1 | Linear | 0.84 ± 0.01 | 26.31 ± 5.19 | 3.12 ± 0.55 | |
SVR based model 2 | Linear | 0.83 ± 0.01 | 27.40 ± 5.59 | 3.07 ± 0.54 | |
SVR-MRL based model 1 | Linear | 0.84 ± 0.01 | 26.09 ± 5.82 | 3.14 ± 0.52 | |
SVR based model 1 | RBF | 0.84 ± 0.02 | 27.93 ± 4.46 | 3.02 ± 0.55 | |
SVR based model 2 | RBF | 0.84 ± 0.02 | 28.51 ± 4.61 | 3.01 ± 0.59 | |
SVR based model 1 | Polynomial | 0.84 ± 0.02 | 26.58 ± 4.52 | 3.02 ± 0.52 | |
SVR based model 2 | Polynomial | 0.84 ± 0.02 | 26.61 ± 4.85 | 3.12 ± 0.49 | |
SVR based model 1 | Clinical | 0.83 ± 0.01∗∗ | 23.92 ± 4.80∗ | 3.21 ± 0.56 | |
SVR based model 2 | Clinical | 0.83 ± 0.01∗∗ | 25.11 ± 5.23∗ | 3.14 ± 0.54 |
∗ p value < 0.05, ∗∗ p value < 0.01, ∗∗∗ p value < 0.001 (Wilcoxon rank sum test).