Journal of Probability and Statistics / 2019 / Article / Tab 4

Research Article

On the Use of Min-Max Combination of Biomarkers to Maximize the Partial Area under the ROC Curve

Table 4

Means and standard deviation (SD) of the partial area under the ROC curve for different combination methods based on the dataset consisted of ratings from multivariate gamma distributions (scenario#4) with 1000 simulated datasets.

AUCsFpf rangeSample SizeMIN-MAXSULIULIULOGISTIC

0.7-0.80-0.150:50Re-Sub0.068 (0.007)0.059 (0.008)0.052 (0.010)0.066 (0.008)
LOPO0.067 (0.008)0.056 (0.009)0.048 (0.011)0.059 (0.008)
50:100Re-Sub0.068 (0.006)0.060 (0.007)0.052 (0.009)0.065 (0.006)
LOPO0.067 (0.006)0.058 (0.007)0.049 (0.009)0.060 (0.007)
100:50Re-Sub0.068 (0.007)0.059 (0.008)0.050 (0.009)0.065 (0.007)
LOPO0.067 (0.007)0.056 (0.008)0.048 (0.010)0.060 (0.007)
100:100Re-Sub0.068 (0.005)0.059 (0.006)0.051 (0.007)0.064 (0.005)
LOPO0.067 (0.005)0.057 (0.006)0.049 (0.008)0.061 (0.006)

0-0.250:50Re-Sub0.145 (0.013)0.130 (0.015)0.111 (0.020)0.141 (0.014)
LOPO0.143 (0.014)0.125 (0.016)0.105 (0.022)0.131 (0.015)
50:100Re-Sub0.146 (0.010)0.132 (0.012)0.111 (0.017)0.141 (0.011)
LOPO0.144 (0.011)0.129 (0.013)0.107 (0.018)0.133 (0.012)
100:50Re-Sub0.145 (0.012)0.130 (0.014)0.109 (0.018)0.140 (0.013)
LOPO0.144 (0.012)0.125 (0.015)0.106 (0.020)0.133 (0.013)
100:100Re-Sub0.145 (0.009)0.131 (0.011)0.110 (0.015)0.139 (0.010)
LOPO0.144 (0.009)0.128 (0.011)0.108 (0.015)0.134 (0.010)

0.6-0.90-0.150:50Re-Sub0.081 (0.006)0.065 (0.009)0.076 (0.007)0.084 (0.006)
LOPO0.081 (0.006)0.060 (0.011)0.076 (0.007)0.079 (0.008)
50:100Re-Sub0.081 (0.004)0.066 (0.008)0.076 (0.005)0.083 (0.004)
LOPO0.081 (0.004)0.062 (0.009)0.075 (0.005)0.080 (0.005)
100:50Re-Sub0.081 (0.005)0.065 (0.009)0.076 (0.006)0.084 (0.005)
LOPO0.081 (0.005)0.061 (0.010)0.075 (0.006)0.079 (0.008)
100:100Re-Sub0.081 (0.004)0.065 (0.008)0.076 (0.005)0.083 (0.004)
LOPO0.081 (0.004)0.063 (0.008)0.075 (0.005)0.081 (0.004)

0-0.250:50Re-Sub0.167 (0.010)0.141 (0.016)0.157 (0.013)0.173 (0.010)
LOPO0.167 (0.011)0.133 (0.018)0.156 (0.013)0.164 (0.013)
50:100Re-Sub0.168 (0.008)0.143 (0.013)0.157 (0.010)0.171 (0.008)
LOPO0.167 (0.008)0.137 (0.014)0.156 (0.010)0.167 (0.008)
100:50Re-Sub0.167 (0.010)0.141 (0.016)0.156 (0.012)0.172 (0.010)
LOPO0.167 (0.010)0.134 (0.017)0.155 (0.012)0.165 (0.013)
100:100Re-Sub0.167 (0.007)0.142 (0.013)0.156 (0.009)0.171 (0.007)
LOPO0.167 (0.007)0.138 (0.013)0.156 (0.009)0.167 (0.007)

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