Scenario       Analysis                  Intercept(β0)                  Slope(β1)
    N SD of X   LOD      Bias     MSE     CP      Bias     MSE     CP
500 0.5 0% Naïve 0.004 0.300 94.5% -0.00014 0.0118 95.1%
Corrected 0.004 0.300 94.5% -0.00014 0.0118 95.1%
20% Naïve 0.139 0.451 94.6% -0.02549 0.0174 94.8%
Corrected -0.021 0.312 94.9% 0.004033 0.0124 94.7%
50% Naïve 0.574 1.309 90.5% -0.10275 0.0466 91.2%
Corrected 0.027 0.376 94.8% -0.00509 0.0148 94.8%
  1 0% Naïve 0.010 0.069 95.4% -0.00148 0.0027 95.9%
Corrected 0.010 0.069 95.4% -0.00148 0.0027 95.9%
20% Naïve 0.190 0.150 91.6% -0.03297 0.0055 92.0%
Corrected 0.010 0.078 94.6% -0.00185 0.0031 95.1%
50% Naïve 0.547 0.571 81.4% -0.08614 0.0167 85.7%
Corrected -0.019 0.098 95.0% 0.004916 0.0037 95.5%
  2 0% Naïve 0.002 0.019 95.9% -0.00017 0.0007 95.5%
Corrected 0.002 0.019 95.9% -0.00017 0.0007 95.5%
20% Naïve 0.212 0.080 78.6% -0.03273 0.0023 83.5%
Corrected 0.007 0.023 93.5% -0.00102 0.0009 94.5%
50% Naïve 0.724 0.612 33.7% -0.09892 0.0125 52.4%
Corrected 0.012 0.029 95.4% -0.00127 0.0011 94.9%
1000 0.5 0% Naïve 0.005 0.148 94.6% -0.00101 0.0058 95.2%
Corrected 0.005 0.148 94.6% -0.00101 0.0058 95.2%
20% Naïve 0.168 0.247 93.3% -0.03074 0.0095 93.5%
Corrected 0.009 0.158 94.4% -0.00151 0.0063 94.0%
50% Naïve 0.530 0.781 87.1% -0.09401 0.0274 87.9%
Corrected 0.008 0.189 94.6% -0.00100 0.0075 94.4%
  1 0% Naïve -0.002 0.038 94.5% 0.000437 0.0015 94.5%
Corrected -0.002 0.038 94.5% 0.000436 0.0015 94.5%
20% Naïve 0.188 0.090 88.0% -0.03253 0.0032 89.9%
Corrected 0.008 0.038 95.3% -0.00152 0.0015 95.5%
50% Naïve 0.588 0.491 65.3% -0.09484 0.0140 70.1%
Corrected 0.003 0.052 94.2% -0.00059 0.0020 94.3%
  2 0% Naïve -0.001 0.010 95.8% -0.00015 0.0004 95.0%
Corrected -0.001 0.010 95.8% -0.00016 0.0004 95.0%
20% Naïve 0.210 0.059 62.9% -0.03248 0.0016 72.9%
Corrected 0.003 0.010 95.5% -0.00055 0.0004 96.1%
50% Naïve 0.724 0.569 6.7% -0.09928 0.0112 21.9%
Corrected 0.008 0.015 95.1% -0.00105 0.0005 95.8%
Table 1: Simulation results of a parametric survival model when a covariate is subject to limit of detection. The true values of the regression parameters set to β0 = −2.0, and β1 = −0.2.