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. 2022 Oct;31(10):1976–1991. doi: 10.1177/09622802221106300

Table 2.

Performances of the estimation of the mixed cure models with cures partially observed: results from 500 simulated data sets of N  =  2000 subjects each with one binary random variable (X1) and one continuous random variable (X2) under various levels of baseline cure probability (the cure probability when x1=x2=0) and proportion of the cures that was observed in the study. Time to event was generated based on a Weibull distribution.

Baseline cure probability = 0.3
Prob of observed cure = 0.6 Prob of observed cure = 0.8
Parameters for Models X 1 X 2 Prob of obs cure X 1 X 2 Prob of obs cure
% bias1 % Cov2 % bias % Cov % bias % Cov % bias % Cov % bias % Cov % bias % Cov
Prob of Uncure α −0.48 93.4  0.51 96.8 0.13 97.2 −0.41 94.0  0.48 95.2  −0.01 96.2
Latency β −0.27 94.6 −0.31 95.2 −0.41 94.2  0.72 93.8
Baseline cure probability = 0.5
Prob of observed cure = 0.6 Prob of observed cure = 0.8
Parameters for Models X 1 X 2 Prob of obs cure X 1 X 2 Prob of obs cure
% bias % Cov % bias % Cov % bias % Cov % bias % Cov % bias % Cov % bias % Cov
Prob of Uncure α 0.17 95.2 0.80 95.0 −0.02 96.0 −0.02 96.2 0.82 95.0 0.02 93.0
Latency β −0.60 94.0 −0.32 94.8 −0.58 93.8 −0.24 95.0
Baseline cure probability = 0.7
Prob of observed cure = 0.6 Prob of observed cure = 0.8
Parameters for Models X 1 X 2 Prob of obs cure X 1 X 2 Prob of obs cure
% bias % Cov % bias % Cov % bias % Cov % bias % Cov % bias % Cov % bias % Cov
Prob of Uncure α 0.65 94.6 0.25 95.8 0.33 97.2 0.61 95.2  0.25 95.2 0.14 95.2
Latency β 0.73 93.8 −0.32 95.6 0.68 93.2  −0.21 95.6

Note. 1. % bias = (estimated parameter-true parameter)/true parameter*100%; 2. % cov = proportion of the true parameter included in the estimated 95% confidence intervals obtained from bootstrapping.