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. Author manuscript; available in PMC: 2019 May 3.
Published in final edited form as: J Probab Stat. 2019 Feb 3;2019:8953530. doi: 10.1155/2019/8953530

Table 3.

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 log-normal distributions with unequal variance-covariance matrices (scenario#3) with 1,000 simulated datasets.

AUCs Fpf
range
Sample
Size
MIN-MAX SULIU LIU LOGISTIC

0.7-0.8 0-0.1 50:50 Re-Sub 0.059 (0.011) 0.035 (0.009) 0.040 (0.010) 0.040 (0.010)
LOPO 0.054 (0.012) 0.026 (0.010) 0.031 (0.011) 0.028 (0.011)
50:100 Re-Sub 0.058 (0.009) 0.035 (0.008) 0.040 (0.009) 0.039 (0.009)
LOPO 0.054 (0.011) 0.028 (0.009) 0.032 (0.010) 0.028 (0.010)
100:50 Re-Sub 0.057 (0.008) 0.033 (0.008) 0.037 (0.008) 0.038 (0.008)
LOPO 0.054 (0.009) 0.027 (0.008) 0.031 (0.009) 0.030 (0.009)
100:100 Re-Sub 0.057 (0.007) 0.033 (0.007) 0.036 (0.007) 0.037 (0.007)
LOPO 0.054 (0.008) 0.028 (0.007) 0.031 (0.008) 0.030 (0.007)

0-0.2 50:50 Re-Sub 0.136 (0.018) 0.090 (0.018) 0.095 (0.019) 0.099 (0.019)
LOPO 0.129 (0.020) 0.074 (0.020) 0.082 (0.020) 0.079 (0.020)
50:100 Re-Sub 0.135 (0.015) 0.091 (0.015) 0.096 (0.017) 0.097 (0.016)
LOPO 0.129 (0.017) 0.077 (0.017) 0.084 (0.018) 0.079 (0.018)
100:50 Re-Sub 0.133 (0.014) 0.088 (0.015) 0.091 (0.016) 0.095 (0.016)
LOPO 0.129 (0.015) 0.077 (0.017) 0.084 (0.016) 0.084 (0.017)
100:100 Re-Sub 0.133 (0.012) 0.087 (0.013) 0.091 (0.014) 0.094 (0.013)
LOPO 0.130 (0.013) 0.079 (0.014) 0.084 (0.014) 0.083 (0.014)

0.6-0.9 0-0.1 50:50 Re-Sub 0.050 (0.010) 0.051 (0.012) 0.056 (0.012) 0.059 (0.012)
LOPO 0.043 (0.012) 0.043 (0.013) 0.048 (0.014) 0.048 (0.013)
50:100 Re-Sub 0.049 (0.008) 0.050 (0.011) 0.057 (0.011) 0.058 (0.011)
LOPO 0.043 (0.011) 0.044 (0.012) 0.050 (0.013) 0.050 (0.012)
100:50 Re-Sub 0.114 (0.014) 0.123 (0.020) 0.128 (0.018) 0.138 (0.016)
LOPO 0.107 (0.016) 0.115 (0.021) 0.122 (0.019) 0.129 (0.017)
100:100 Re-Sub 0.047 (0.007) 0.049 (0.010) 0.054 (0.009) 0.056 (0.009)
LOPO 0.044 (0.008) 0.045 (0.010) 0.050 (0.010) 0.051 (0.009)

0-0.2 50:50 Re-Sub 0.116 (0.017) 0.126 (0.021) 0.130 (0.022) 0.141 (0.019)
LOPO 0.106 (0.021) 0.114 (0.023) 0.118 (0.024) 0.125 (0.021)
50:100 Re-Sub 0.115 (0.014) 0.125 (0.020) 0.131 (0.020) 0.140 (0.018)
LOPO 0.107 (0.017) 0.114 (0.021) 0.121 (0.022) 0.128 (0.019)
100:50 Re-Sub 0.048 (0.008) 0.049 (0.011) 0.054 (0.010) 0.057 (0.010)
LOPO 0.044 (0.009) 0.044 (0.011) 0.050 (0.011) 0.051 (0.010)
100:100 Re-Sub 0.113 (0.012) 0.124 (0.017) 0.128 (0.016) 0.138 (0.014)
LOPO 0.108 (0.014) 0.117 (0.018) 0.122 (0.017) 0.130 (0.015)