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. Author manuscript; available in PMC: 2022 Jan 6.
Published in final edited form as: Biostat Epidemiol. 2020 Mar 22;5(2):118–133. doi: 10.1080/24709360.2020.1737794

Table 3:

Simulation results of AUCs, n = 400. Biass and Biasa are Sampling- and Analytic-based AUC estimators, respectively, and MESE is mean estimated standard errors.

True AUC Empirical Beta Log-Normal Logit-Normal Probit-Normal
Bias a MESE Bias s Bias a MESE Bias s Bias a MESE Bias s Bias a MESE Bias s Bias a MESE
BNM 0.500 0.000 0.0144 0.000 0.000 0.0137 0.094 0.094 0.0351 0.000 −0.001 0.0222 −0.001 −0.001 0.0197
0.562 0.000 0.0142 −0.002 −0.002 0.0135 0.079 0.078 0.0319 0.001 0.034 0.0213 0.000 0.024 0.0192
0.623 0.000 0.0138 −0.004 −0.005 0.0132 0.063 0.063 0.0288 0.001 0.064 0.0193 −0.001 0.045 0.0178
0.681 −0.001 0.0132 −0.007 −0.007 0.0125 0.048 0.047 0.0255 0.001 0.085 0.0163 −0.002 0.062 0.0157
0.735 −0.001 0.0123 −0.008 −0.008 0.0116 0.035 0.035 0.0224 0.000 0.095 0.0130 −0.002 0.072 0.0132
0.784 −0.001 0.0112 −0.008 −0.008 0.0106 0.025 0.025 0.0193 0.000 0.098 0.0098 0.000 0.077 0.0106
0.827 −0.001 0.0101 −0.008 −0.009 0.0094 0.017 0.017 0.0165 0.000 0.092 0.0071 0.000 0.075 0.0081
0.864 −0.001 0.0089 −0.008 −0.008 0.0081 0.010 0.010 0.0137 −0.001 0.081 0.0050 0.001 0.068 0.0059
0.896 −0.001 0.0076 −0.007 −0.007 0.0068 0.006 0.006 0.0114 0.000 0.068 0.0034 0.003 0.059 0.0042
0.921 −0.001 0.0065 −0.006 −0.006 0.0055 0.004 0.003 0.0093 0.002 0.055 0.0022 0.004 0.048 0.0029
BGM 0.500 0.000 0.0144 0.000 0.000 0.0137 0.094 0.094 0.0350 −0.001 0.000 0.0221 0.000 0.000 0.0197
0.565 0.000 0.0149 −0.001 −0.001 0.0140 0.097 0.097 0.0363 0.003 0.044 0.0231 0.001 0.030 0.0206
0.615 0.000 0.0150 −0.002 −0.002 0.0140 0.098 0.097 0.0364 0.005 0.082 0.0221 0.002 0.057 0.0202
0.655 −0.001 0.0149 −0.005 −0.005 0.0138 0.095 0.096 0.0363 0.006 0.108 0.0202 0.002 0.077 0.0192
0.714 0.000 0.0145 −0.008 −0.008 0.0133 0.091 0.091 0.0352 0.008 0.139 0.0153 0.003 0.104 0.0162
0.778 −0.001 0.0137 −0.014 −0.014 0.0125 0.081 0.080 0.0329 0.008 0.147 0.0092 0.004 0.118 0.0115
0.808 −0.001 0.0131 −0.016 −0.016 0.0119 0.073 0.073 0.0312 0.011 0.141 0.0066 0.006 0.118 0.0090
0.848 −0.001 0.0121 −0.019 −0.019 0.0108 0.062 0.062 0.0283 0.014 0.124 0.0037 0.010 0.109 0.0057
0.900 −0.001 0.0103 −0.022 −0.022 0.0089 0.044 0.044 0.0234 0.021 0.089 0.0015 0.015 0.083 0.0025
0.938 −0.001 0.0084 −0.021 −0.021 0.0068 0.029 0.028 0.0185 0.025 0.057 0.0006 0.018 0.055 0.0011
BMN 0.503 0.001 0.0144 0.002 0.001 0.0137 0.096 0.095 0.0350 0.002 0.004 0.0223 0.002 0.003 0.0198
0.553 0.002 0.0154 0.015 0.016 0.0145 0.103 0.104 0.0379 0.020 0.075 0.0263 0.014 0.049 0.0228
0.603 0.000 0.0159 0.014 0.014 0.0147 0.112 0.111 0.0403 0.023 0.127 0.0251 0.015 0.085 0.0230
0.654 0.000 0.0161 0.008 0.008 0.0145 0.115 0.113 0.0411 0.023 0.162 0.0205 0.014 0.115 0.0209
0.704 0.001 0.0158 −0.001 −0.001 0.0140 0.117 0.116 0.0413 0.021 0.175 0.0150 0.012 0.132 0.0172
0.754 −0.001 0.0151 −0.012 −0.012 0.0133 0.107 0.107 0.0395 0.017 0.167 0.0103 0.008 0.133 0.0132
0.804 0.000 0.0140 −0.020 −0.021 0.0123 0.094 0.094 0.0360 0.014 0.146 0.0064 0.007 0.123 0.0091
0.855 −0.001 0.0122 −0.026 −0.027 0.0108 0.072 0.072 0.0304 0.012 0.114 0.0039 0.006 0.101 0.0057
0.905 −0.001 0.0096 −0.024 −0.025 0.0083 0.043 0.043 0.0225 0.009 0.076 0.0021 0.006 0.069 0.0031
0.955 −0.001 0.0046 −0.005 −0.005 0.0035 0.001 0.000 0.0062 0.004 0.033 0.0011 0.005 0.030 0.0014