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. 2018 Mar 23;20(3):416–432. doi: 10.1093/biostatistics/kxy011

Table 2.

Bias, variance, and coverage of logistic model parameters within the multistate cure model

Baseline hazard 2 Inline graphic 4, 1 Inline graphic 4 Assumption Logistic model # Failed (out of 500) Run time (min/sim)
Intercept Inline graphic Inline graphic
Scenario 1: no covariate missingness or unequal follow-up
 Weibull Inline graphic 0 (0.33) 93 0 (0.42) 95 0 (0.44) 94 0 2.02
 Weibull Inline graphic 0 (0.34) 94 0 (0.51) 94 0 (0.51) 94 0 2.12
 Weibull Inline graphic 0 (0.59) 93 0 (0.41) 95 0 (0.45) 95 0 2.07
 Weibull None 1 (0.71) 93 0 (0.49) 96 0 (0.51) 97 46 2.16
 Cox Inline graphic 0 (0.33) 93 0 (0.42) 97 0 (0.44) 95 0 7.68
 Cox Inline graphic 0 (0.34) 93 0 (0.51) 95 0 (0.52) 95 0 8.04
 Cox Inline graphic 1 (0.89) 84 0 (0.43) 94 0 (0.48) 95 0 7.98
 Cox None 11 (0.37) 50 2 (2.64) 60 2 (2.83) 64 1 8.46
Scenario 2: covariate missingness
 Weibull Inline graphic 0 (0.32) 96 0 (0.44) 97 0 (0.60) 95 0 5.65
 Weibull Inline graphic 0 (0.33) 96 0 (0.54) 97 0 (0.70) 95 1 5.71
 Weibull Inline graphic 0 (0.63) 90 0 (0.47) 97 0 (0.60) 95 0 5.73
 Weibull None 2 (0.72) 89 0 (0.59) 95 0 (0.73) 93 141 5.57
 Cox Inline graphic 0 (0.32) 96 0 (0.46) 96 0 (0.60) 95 0 27.5
 Cox Inline graphic 0 (0.33) 94 1 (0.58) 96 Inline graphic2 (0.71) 93 0 27.3
 Cox Inline graphic 1 (1.59) 81 1 (0.50) 96 Inline graphic3 (0.60) 94 0 27.4
 Cox None 6 (0.63) 80 Inline graphic2 (2.15) 61 Inline graphic2 (2.28) 67 82 26.7
Scenario 3: unequal follow-up
 Weibull Inline graphic 0 (0.35) 96 0 (0.51) 95 0 (0.48) 96 0 8.49
 Weibull Inline graphic 0 (0.35) 96 0 (0.64) 95 0 (0.63) 94 0 8.61
 Weibull Inline graphic 0 (0.63) 92 0 (0.54) 94 0 (0.51) 96 0 8.56
 Weibull None 3 (0.69) 92 0 (0.66) 95 0 (0.64) 93 102 8.58
 Cox Inline graphic Inline graphic2 (0.35) 94 1 (0.53) 93 1 (0.48) 95 0 18.3
 Cox Inline graphic 4 (0.43) 87 Inline graphic2 (0.77) 93 Inline graphic2 (0.81) 90 0 18.5
 Cox Inline graphic 5 (1.95) 74 Inline graphic2 (0.60) 94 Inline graphic2 (0.57) 94 0 18.5
 Cox None 4 (0.70) 83 Inline graphic1 (2.65) 53 Inline graphic2 (2.44) 60 19 17.8

Results across 500 simulations are presented using the following notation: bias (empirical variance), coverage of 95% confidence interval, each multiplied by 100. The number of simulations (out of 500) with numerical issues and the median run time per simulation are also shown.