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. Author manuscript; available in PMC: 2008 Nov 21.
Published in final edited form as: Stat Med. 2007 Jun 30;26(14):2813–2835. doi: 10.1002/sim.2749

Table VI.

Comparison of the bias, the standard error (SE), the estimated standard error (Est. SE), and the simulated coverage probability (CP) of the 95 per cent confidence intervals between a joint model with competing risks versus that with a single failure type where the other failure is treated as independent censoring (A) sample size=200 and (B) sample size=500.

Ignoring the competing risk Competing risks


Parameter True Bias SE Est. SE CP Bias SE Est. SE CP
(A)
Longitudinal
Fixed effects
β0 10 0.001 0.039 0.041 0.952 −0.0003 0.040 0.041 0.974
β1 1 −0.002 0.079 0.073 0.928 −0.004 0.085 0.081 0.934
β2 −1.5 −0.004 0.053 0.056 0.968 −0.002 0.055 0.057 0.960
Random effects
σ2 0.25 −0.0005 0.014 0.015 0.962 −0.0004 0.014 0.015 0.958
σu2
0.5 0.031 0.090 0.092 0.954 −0.002 0.093 0.087 0.926
Survival
Fixed effects
γ11 0.8 0.085 0.436 0.447 0.960 0.026 0.480 0.518 0.970
γ12 −0.5 0.068 0.265 0.282 0.958 −0.081 0.352 0.320 0.940
Random effects
ν1 0.7 0.477 0.287 0.307 0.714 0.025 0.419 0.373 0.938
(B)
Longitudinal
Fixed effects
β0 10 0.003 0.024 0.025 0.958 0.001 0.026 0.025 0.946
β1 1 −0.005 0.049 0.046 0.934 −0.002 0.054 0.051 0.944
β2 −1.5 −0.005 0.034 0.035 0.956 −0.002 0.035 0.035 0.948
Random effects
σ2 0.25 −0.001 0.009 0.009 0.956 −0.0003 0.009 0.009 0.932
σu2
0.5 0.029 0.058 0.057 0.946 0.0004 0.055 0.054 0.954
Survival
Fixed effects
γ11 0.8 0.092 0.269 0.265 0.924 −0.0002 0.303 0.302 0.950
γ12 −0.5 0.079 0.165 0.169 0.944 −0.031 0.196 0.190 0.948
Random effects
ν1 0.7 0.435 0.178 0.180 0.304 −0.013 0.224 0.210 0.928