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. Author manuscript; available in PMC: 2021 Oct 1.
Published in final edited form as: Lifetime Data Anal. 2020 Jun 11;26(4):789–819. doi: 10.1007/s10985-020-09499-w

Table 1.

Simulation results under proportional MRL models

N β censoring rate Full CC (30%) NCC (1-to-1)§
β1 β2 β1 β2 β1 β2
1000 (0,0) 0.7 Bias −0.002 −0.002 0.001 0.002 −0.002 −0.001
SD 0.060 0.105 0.079 0.129 0.072 0.122
SE 0.061 0.106 0.078 0.136 0.065 0.112
CP 95.0 94.7 93.9 96.2 92.0 93.2
1000 (0,0) 0.8 Bias −0.000 −0.001 −0.002 −0.012 −0.001 0.000
SD 0.071 0.129 0.097 0.156 0.092 0.155
SE 0.073 0.127 0.091 0.157 0.082 0.143
CP 95.5 94.2 93.5 94.6 92.7 92.5
1000 (0,0) 0.9 Bias 0.001 −0.009 0.002 0.005 −0.007 −0.001
SD 0.086 0.153 0.092 0.164 0.114 0.202
SE 0.086 0.150 0.093 0.162 0.109 0.190
CP 95.0 94.5 95.8 95.3 93.2 94.4
1000 (0.2,0.2) 0.7 Bias 0.000 −0.001 −0.002 0.002 −0.002 −0.006
SD 0.048 0.087 0.063 0.104 0.057 0.093
SE 0.050 0.087 0.060 0.105 0.051 0.088
CP 95.1 95.3 94.2 95.9 91.7 93.4
1000 (0.2,0.2) 0.8 Bias 0.001 −0.002 0.008 0.002 −0.005 −0.006
SD 0.057 0.105 0.073 0.125 0.069 0.123
SE 0.059 0.103 0.073 0.127 0.067 0.116
CP 95.3 95.4 95.3 95.4 94.2 94.1
1000 (0.2,0.2) 0.9 Bias −0.004 −0.012 −0.011 −0.013 −0.018 −0.006
SD 0.079 0.136 0.092 0.154 0.103 0.182
SE 0.077 0.134 0.088 0.153 0.099 0.174
CP 94.6 94.8 94.3 94.5 94.2 95.2

SD: sample standard deviation; SE: mean of estimated standard error;

CP: empirical coverage probability of 95% confidence interval;

Full-cohort population

Case-Cohort design with 30% random sample from full-cohort population

§

Nested Case-Control design with 1 control for each case