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

Table 2

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 normal distributions with unequal variance-covariance matrices (scenario#2) with 1000 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)	0.044 (0.011)	0.046 (0.010)	0.044 (0.011)
			LOPO	0.052 (0.013)	0.035 (0.012)	0.042 (0.010)	0.034 (0.012)
		50:100	Re-Sub	0.058 (0.009)	0.044 (0.009)	0.046 (0.008)	0.042 (0.010)
			LOPO	0.053 (0.012)	0.036 (0.010)	0.042 (0.009)	0.033 (0.010)
		100:50	Re-Sub	0.057 (0.008)	0.043 (0.009)	0.045 (0.008)	0.045 (0.009)
			LOPO	0.052 (0.010)	0.037 (0.009)	0.043 (0.008)	0.039 (0.009)
		100:100	Re-Sub	0.057 (0.007)	0.043 (0.008)	0.044 (0.007)	0.043 (0.008)
			LOPO	0.053 (0.009)	0.038 (0.008)	0.042 (0.007)	0.038 (0.008)
	0-0.2	50:50	Re-Sub	0.136 (0.018)	0.109 (0.019)	0.109 (0.018)	0.109 (0.019)
			LOPO	0.128 (0.021)	0.093 (0.021)	0.102 (0.018)	0.093 (0.021)
		50:100	Re-Sub	0.135 (0.015)	0.109 (0.016)	0.109 (0.015)	0.106 (0.017)
			LOPO	0.129 (0.018)	0.095 (0.018)	0.103 (0.016)	0.090 (0.019)
		100:50	Re-Sub	0.133 (0.014)	0.107 (0.016)	0.107 (0.015)	0.110 (0.015)
			LOPO	0.128 (0.016)	0.098 (0.017)	0.104 (0.015)	0.101 (0.016)
		100:100	Re-Sub	0.133 (0.012)	0.106 (0.013)	0.107 (0.012)	0.107 (0.013)
			LOPO	0.129 (0.013)	0.099 (0.014)	0.104 (0.012)	0.099 (0.014)
0.6-0.9	0-0.1	50:50	Re-Sub	0.051 (0.010)	0.058 (0.012)	0.049 (0.011)	0.059 (0.013)
			LOPO	0.044 (0.012)	0.048 (0.014)	0.045 (0.012)	0.045 (0.014)
		50:100	Re-Sub	0.050 (0.008)	0.059 (0.012)	0.049 (0.010)	0.056 (0.013)
			LOPO	0.044 (0.010)	0.049 (0.013)	0.046 (0.010)	0.045 (0.013)
		100:50	Re-Sub	0.049 (0.008)	0.057 (0.010)	0.048 (0.009)	0.059 (0.010)
			LOPO	0.044 (0.009)	0.051 (0.011)	0.046 (0.009)	0.051 (0.010)
		100:100	Re-Sub	0.049 (0.007)	0.057 (0.009)	0.048 (0.008)	0.056 (0.009)
			LOPO	0.044 (0.008)	0.051 (0.010)	0.046 (0.008)	0.049 (0.010)
	0-0.2	50:50	Re-Sub	0.118 (0.017)	0.143 (0.018)	0.114 (0.020)	0.143 (0.019)
			LOPO	0.108 (0.020)	0.128 (0.021)	0.108 (0.021)	0.124 (0.021)
		50:100	Re-Sub	0.117 (0.014)	0.143 (0.017)	0.115 (0.018)	0.141 (0.018)
			LOPO	0.109 (0.016)	0.129 (0.020)	0.109 (0.019)	0.124 (0.020)
		100:50	Re-Sub	0.116 (0.014)	0.141 (0.016)	0.113 (0.016)	0.143 (0.015)
			LOPO	0.109 (0.016)	0.133 (0.017)	0.110 (0.017)	0.132 (0.016)
		100:100	Re-Sub	0.115 (0.012)	0.140 (0.013)	0.113 (0.014)	0.140 (0.013)
			LOPO	0.109 (0.013)	0.133 (0.014)	0.110 (0.014)	0.131 (0.014)