Table S1. Multi-Cohort Bayseian Survival Model Comparison,,,,,,,,,,
Models,Stratification Methods,elpd_diff,se_diff,elpd_loo,se_elpd_loo,p_loo,se_p_loo,looic,se_looic,TumorType
No Cohort Effect,HLA II IMMs,0,0,-294.9894352,13.41212433,3.659141404,1.065902983,589.9788703,26.82424867,NSCLC
Fix Cohort Effect,HLA II IMMs,-0.672567846,0.67605246,-295.662003,13.31585617,4.681978216,1.209503034,591.324006,26.63171234,NSCLC
Variable Cohort Effect,HLA II IMMs,-0.702861394,0.828303393,-295.6922965,13.37365073,5.105777091,1.303107054,591.3845931,26.74730147,NSCLC
No Cohort Effect,HLA II IMMs,0,0,-248.6775,20.7107,2.290107,0.274448,497.3549,41.4214,Melanoma
Fix Cohort Effect,HLA II IMMs,-0.3464762,0.7186048,-249.0239,20.85495,3.151405,0.3309288,498.0479,41.7099,Melanoma
Variable Cohort Effect,HLA II IMMs,-0.226608449,0.897355544,-246.9871644,20.8383279,3.343437648,0.3785949,498.156,41.66131,Melanoma
No Cohort Effect,TMB,0,0,-293.0546262,13.19263788,3.454827707,0.992752954,586.1092524,26.38527577,NSCLC
Fix Cohort Effect,TMB,-0.576570727,0.489452793,-293.6311969,13.11552778,4.221184138,1.042373515,587.2623939,26.23105556,NSCLC
Variable Cohort Effect,TMB,-0.799751224,0.383283704,-293.8543774,13.15578406,4.439016996,1.115552363,587.7087548,26.31156813,NSCLC
No Cohort Effect,TMB,0,0,-250.3158,20.58921,2.151959,0.2082774,500.6316,41.17842,Melanoma
Fix Cohort Effect,TMB,-0.4763943,0.6557083,-250.7922,20.68987,3.070625,0.2703522,501.5844,41.37975,Melanoma
Variable Cohort Effect,TMB,-0.6967138,0.6616817,-251.0125,20.70813,3.3107,0.3578817,502.025,41.41625,Melanoma
,,,,,,,,,,
Note: elpd=expected log pointwise predictive density; se=standard error; p_loo=effective number of parameters; loo=eave-one-out cross-validation approach; looic=-2*elpd_loo;  ,,,,,,,,,,
"elpd_diff: difference of elpd between the first and second model, when positive then the expected predictive accuracy for the second model is higher. A negative elpd_diff favors the first model.",,,,,,,,,,
*elpd_diff>4 and elpd_diff>se_diff are criteria for significant model difference; No model difference can be observe in this table,,,,,,,,,,