Table 2.
Detailed model performance and treatment recommendation effects.
| Model | Total | GTR | SpTR | DRMSTTaR | HRTaR | DRMSTRST | HRRST | |||
|---|---|---|---|---|---|---|---|---|---|---|
| C-index | IBS | C-index | IBS | C-index | IBS | |||||
| BDE | – | – | 0.64 (0.61–0.66) | 0.068 (0.061–0.077) | 0.67 (0.65–0.68) | 0.068 (0.062–0.077) | 5.90 (4.40–7.39) *** | 0.71 (0.65–0.77) *** | 2.54 (0.98–4.09) *** | 0.86 (0.79–0.95) ** |
| BITES | – | – | 0.63 (0.61–0.65) | 0.067 (0.060–0.077) | 0.66 (0.65–0.67) | 0.069 (0.063–0.078) | 4.95 (3.41–6.49) *** | 0.75 (0.69–0.82) *** | 4.12 (2.55–5.69) *** | 0.78 (0.71–0.86) *** |
| DeepSurv | 0.66 (0.65–0.67) | 0.089 (0.084–0.097) | 0.61 (0.57–0.62) | 0.15 (0.14–0.17) | 0.65 (0.65–0.68) | 0.094 (0.086–0.107) | 4.33 (2.78–5.88) *** | 0.78 (0.71–0.85) *** | 5.08 (3.55–6.61) *** | 0.74 (0.68–0.81) *** |
| CPH | 0.68 (0.67–0.69) | 0.066 (0.062–0.071) | 0.64 (0.61–0.66) | 0.104 (0.093–0.114) | 0.68 (0.66–0.69) | 0.070 (0.063–0.077) | 3.64 (2.07–5.21) *** | 0.81 (0.74–0.89) *** | 3.26 (1.69–4.83) *** | 0.83 (0.75–0.91) *** |
| RSF | 0.61 (0.60–0.62) | 0.066 (0.062–0.071) | 0.62 (0.60–0.65) | 0.107 (0.096–0.118) | 0.65 (0.64–0.66) | 0.071 (0.063–0.079) | 3.03 (1.51–4.56) *** | 0.83 (0.76–0.91) *** | 3.22 (1.54–4.89) *** | 0.83 (0.76–0.92) *** |
***p-value<0.001; **p-value<0.01; *p-value<0.05. DRMST, the difference of restricted mean survival time within 5 years between two groups; HR, hazards ratio calculated by the univariate Cox proportional hazard model. C-index, concordance index; IBS, integrated brier score. TaR, calculated individual treatment effect using survival time when the mortality rate is 50%; RST, calculated individual treatment effect using individual restricted mean survival time within 5 years. Total, model trained on overall patients; GTR, gross total resection group; SpTR, supra maximum total resection group. BDE, Balanced Decision Ensembles; BITES, Balanced Individual Treatment Effect for Survival data; CPH, Cox proportional hazards model; RSF, random survival forest.