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. Author manuscript; available in PMC: 2017 Aug 30.
Published in final edited form as: Stat Med. 2016 Mar 2;35(19):3319–3332. doi: 10.1002/sim.6929

Table 3.

Simulation results for the log-Normal distributed scenarios: N = 300, NSIM = 1000, and a marginal censoring rate of 30% for the linear scenario and 30% for the non-linear scenario. The confidence intervals are estimated with the leave-one-out jackknife. ‘Percent Relative Bias’ is the ratio of the bias and true restricted mean difference. ‘MSE Ratio’ is the ratio of MSE relative to the Cox estimator. ‘SD Ratio’ is the ratio of average jackknife standard deviation relative to the Cox estimator. ‘Cov’ is the coverage probability for the confidence interval. ‘ISSE(0)’ and ‘ISSE(1)’ are the treatment-specific ratios of integrated squared survival error, which corresponds to the mean-squared of the treatment-specific conditional survival function, relative to the Cox estimator. γ(50) is the true restricted mean treatment effects for τ = 50.

Estimator Percent Relative Bias MSE Ratio SD Ratio Cov. ISSE(0) ISSE(1)
Linear γ(50) = −10.399 Cox -4% 1.00 1.00 0.94 1.00 1.00
Splines -5% 1.18 1.07 0.96 3.05 3.50
log-Normal 1% 0.84 0.95 0.94 0.66 0.66
Weibull 0% 0.92 0.99 0.95 0.92 1.03
RSF 4% 0.68 0.81 0.97 3.10 5.06

Stacked with RSF 1% 0.86 0.96 0.96 0.84 0.88
Stacked without RSF 1% 0.88 0.97 0.95 0.81 0.81

Non-Linear γ(50) = −8.153 Cox -2% 1.00 1.00 0.96 1.00 1.00
Splines 3% 1.00 1.00 0.96 1.00 1.13
log-Normal -9% 1.14 0.96 0.93 0.87 0.80
Weibull -8% 1.21 1.02 0.93 0.97 0.89
RSF -5% 0.82 0.88 0.98 3.19 3.27

Stacked with RSF -1% 1.20 1.10 0.96 0.71 0.70
Stacked without RSF -2% 0.90 0.95 0.95 0.68 0.67