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. Author manuscript; available in PMC: 2022 Jan 1.
Published in final edited form as: J Am Stat Assoc. 2020 Feb 10;116(535):1330–1345. doi: 10.1080/01621459.2020.1713792

Table 7:

Simulations summary statistics for survival function estimators F^ at z = 0 and z = 1 at selected marginal survival function percentiles under Clayton–Oakes model (20) with β10=0,β01=log2,θ=2 and γ=log2.

Sample size (n) 1000 250 1000 250
T1 and T2 failure % 18.2 100 18.2 100
F^–no time-varying covariates
F^–time-varying covariates included
(T1, T2) Percentiles F Mean (SD)a Mean (SD) Mean (SD) Mean (SD)
z = 0
(0.85,0.85) 0.752 0.751(0.021) 0.747(0.030) 0.752(0.022) 0.754(0.036)
(0.85,0.70) 0.642 0.640(0.029) 0.632(0.035) 0.641(0.030) 0.650(0.039)
(0.85,0.55) 0.521 0.517(0.048) 0.506(0.039) 0.519(0.051) 0.532(0.042)
(0.70,0.70) 0.570 0.571(0.041) 0.553(0.037) 0.571(0.042) 0.569(0.041)
(0.70,0.55) 0.480 0.475(0.065) 0.453(0.039) 0.476(0.069) 0.483(0.042)
(0.55,0.55) 0.422 0.421(0.094) 0.392(0.039) 0.420(0.106) 0.417(0.041)
z = 1
(0.85,0.85) 0.739 0.739(0.021) 0.743(0.031) 0.739(0.022) 0.741(0.034)
(0.85,0.70) 0.623 0.624(0.026) 0.632(0.035) 0.624(0.026) 0.624(0.039)
(0.85,0.55) 0.501 0.504(0.033) 0.514(0.038) 0.503(0.033) 0.499(0.041)
(0.70,0.70) 0.538 0.537(0.034) 0.550(0.037) 0.538(0.034) 0.546(0.039)
(0.70,0.55) 0.445 0.446(0.042) 0.462(0.038) 0.447(0.043) 0.449(0.040)
(0.55,0.55) 0.379 0.374(0.064) 0.396(0.038) 0.378(0.068) 0.389(0.040)
a

Sample mean and standard deviation (SD) based on 1000 simulated samples at each sampling configuration.