Journal of Probability and Statistics / 2019 / Article / Tab 1

Research Article

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

Table 1

Means (standard deviations) of the partial area under the ROC curve for different combination methods based on the dataset consisted of ratings from multivariate normal distributions with equal variance-covariance matrices (scenario#1) with 1000 simulated datasets.

AUCs Fpf rangeSample SizeMIN-MAXSULIULIULOGISTIC

0.7-0.80-0.150:50Re-Sub0.036 (0.010)0.038 (0.011)0.024 (0.011)0.038 (0.011)
LOPO0.028 (0.012)0.030 (0.011)0.016 (0.011)0.030 (0.011)
50:100Re-Sub0.036 (0.009)0.038 (0.010)0.024 (0.011)0.037 (0.010)
LOPO0.028 (0.011)0.031 (0.010)0.016 (0.011)0.031 (0.010)
100:50Re-Sub0.034 (0.008)0.036 (0.009)0.021 (0.010)0.036 (0.009)
LOPO0.028 (0.009)0.031 (0.009)0.015 (0.009)0.030 (0.009)
100:100Re-Sub0.033 (0.007)0.036 (0.007)0.021 (0.010)0.036 (0.007)
LOPO0.028 (0.008)0.031 (0.007)0.015 (0.009)0.031 (0.007)

0-0.250:50Re-Sub0.094 (0.018)0.101 (0.020)0.064 (0.024)0.101 (0.020)
LOPO0.081 (0.022)0.086 (0.021)0.049 (0.025)0.086 (0.021)
50:100Re-Sub0.092 (0.017)0.099 (0.018)0.064 (0.024)0.099 (0.018)
LOPO0.081 (0.021)0.087 (0.019)0.049 (0.024)0.087 (0.019)
100:50Re-Sub0.091 (0.015)0.097 (0.016)0.059 (0.022)0.098 (0.016)
LOPO0.082 (0.018)0.087 (0.017)0.047 (0.022)0.087 (0.017)
100:100Re-Sub0.089 (0.013)0.096 (0.013)0.058 (0.022)0.096 (0.013)
LOPO0.081 (0.016)0.089 (0.014)0.047 (0.021)0.089 (0.014)

0.6-0.90-0.150:50Re-Sub0.047 (0.010)0.064 (0.011)0.034 (0.018)0.065 (0.011)
LOPO0.040 (0.012)0.056 (0.013)0.026 (0.017)0.054 (0.012)
50:100Re-Sub0.046 (0.010)0.063 (0.010)0.034 (0.018)0.063 (0.010)
LOPO0.041 (0.012)0.057 (0.012)0.025 (0.016)0.056 (0.011)
100:50Re-Sub0.045 (0.009)0.062 (0.009)0.029 (0.016)0.062 (0.009)
LOPO0.040 (0.010)0.057 (0.010)0.023 (0.014)0.056 (0.010)
100:100Re-Sub0.044 (0.008)0.062 (0.008)0.030 (0.016)0.062 (0.008)
LOPO0.040 (0.009)0.058 (0.008)0.024 (0.014)0.057 (0.008)

0-0.250:50Re-Sub0.114 (0.017)0.148 (0.017)0.084 (0.037)0.149 (0.017)
LOPO0.106 (0.020)0.137 (0.019)0.070 (0.036)0.135 (0.019)
50:100Re-Sub0.114 (0.017)0.147 (0.015)0.085 (0.037)0.147 (0.015)
LOPO0.107 (0.019)0.138 (0.017)0.070 (0.034)0.136 (0.017)
100:50Re-Sub0.112 (0.015)0.146 (0.014)0.075 (0.033)0.146 (0.014)
LOPO0.106 (0.017)0.138 (0.015)0.065 (0.032)0.137 (0.015)
100:100Re-Sub0.110 (0.013)0.146 (0.012)0.079 (0.035)0.146 (0.012)
LOPO0.106 (0.014)0.140 (0.012)0.068 (0.032)0.139 (0.012)

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