Table 1.

Scenario 1: survival data were simulated from a joint model with two baseline covariates and three longitudinal outcomes.

			RSF		Cox
t	Δt	True AUC	AUC	BS	AUC	BS
MFPCA
1	1	0.929(0.050)	0.898(0.060)	0.054(0.017)	0.927(0.050)	0.044(0.016)
1	2	0.938(0.033)	0.906(0.046)	0.087(0.019)	0.934(0.034)	0.067(0.020)
2	1	0.924(0.050)	0.878(0.066)	0.062(0.021)	0.920(0.051)	0.051(0.019)
2	2	0.930(0.045)	0.892(0.053)	0.101(0.022)	0.927(0.045)	0.077(0.023)
3	1	0.915(0.056)	0.871(0.072)	0.072(0.022)	0.915(0.059)	0.059(0.019)
3	2	0.923(0.036)	0.879(0.045)	0.119(0.028)	0.920(0.037)	0.090(0.025)
4	1	0.903(0.055)	0.832(0.089)	0.086(0.029)	0.899(0.056)	0.070(0.025)
4	2	0.918(0.042)	0.867(0.057)	0.140(0.031)	0.914(0.042)	0.106(0.031)
mFACEs
1	1	0.929(0.050)	0.890(0.064)	0.056(0.017)	0.926(0.051)	0.045(0.016)
1	2	0.938(0.033)	0.896(0.050)	0.092(0.019)	0.934(0.035)	0.067(0.020)
2	1	0.924(0.050)	0.865(0.076)	0.063(0.021)	0.919(0.052)	0.051(0.020)
2	2	0.930(0.045)	0.872(0.066)	0.109(0.024)	0.925(0.048)	0.079(0.024)
3	1	0.915(0.056)	0.843(0.097)	0.076(0.022)	0.913(0.063)	0.061(0.020)
3	2	0.923(0.036)	0.859(0.062)	0.130(0.031)	0.918(0.039)	0.094(0.027)
4	1	0.903(0.055)	0.812(0.095)	0.090(0.029)	0.896(0.055)	0.073(0.026)
4	2	0.918(0.042)	0.846(0.069)	0.152(0.033)	0.910(0.044)	0.111(0.031)

AUC and BS are averaged across 100 simulated datasets with standard deviations provided in subscripts.

RSF, random survival forest; AUC, area under the curve; BS, Brier score; MFPCA, multivariate functional principal component analysis; mFACEs, multivariate fast covariance estimation.