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.

AUCs	Fpf range	Sample Size		MIN-MAX	SULIU	LIU	LOGISTIC
0.7-0.8	0-0.1	50:50	Re-Sub	0.068 (0.007)	0.059 (0.008)	0.052 (0.010)	0.066 (0.008)
			LOPO	0.067 (0.008)	0.056 (0.009)	0.048 (0.011)	0.059 (0.008)
		50:100	Re-Sub	0.068 (0.006)	0.060 (0.007)	0.052 (0.009)	0.065 (0.006)
			LOPO	0.067 (0.006)	0.058 (0.007)	0.049 (0.009)	0.060 (0.007)
		100:50	Re-Sub	0.068 (0.007)	0.059 (0.008)	0.050 (0.009)	0.065 (0.007)
			LOPO	0.067 (0.007)	0.056 (0.008)	0.048 (0.010)	0.060 (0.007)
		100:100	Re-Sub	0.068 (0.005)	0.059 (0.006)	0.051 (0.007)	0.064 (0.005)
			LOPO	0.067 (0.005)	0.057 (0.006)	0.049 (0.008)	0.061 (0.006)
	0-0.2	50:50	Re-Sub	0.145 (0.013)	0.130 (0.015)	0.111 (0.020)	0.141 (0.014)
			LOPO	0.143 (0.014)	0.125 (0.016)	0.105 (0.022)	0.131 (0.015)
		50:100	Re-Sub	0.146 (0.010)	0.132 (0.012)	0.111 (0.017)	0.141 (0.011)
			LOPO	0.144 (0.011)	0.129 (0.013)	0.107 (0.018)	0.133 (0.012)
		100:50	Re-Sub	0.145 (0.012)	0.130 (0.014)	0.109 (0.018)	0.140 (0.013)
			LOPO	0.144 (0.012)	0.125 (0.015)	0.106 (0.020)	0.133 (0.013)
		100:100	Re-Sub	0.145 (0.009)	0.131 (0.011)	0.110 (0.015)	0.139 (0.010)
			LOPO	0.144 (0.009)	0.128 (0.011)	0.108 (0.015)	0.134 (0.010)
0.6-0.9	0-0.1	50:50	Re-Sub	0.081 (0.006)	0.065 (0.009)	0.076 (0.007)	0.084 (0.006)
			LOPO	0.081 (0.006)	0.060 (0.011)	0.076 (0.007)	0.079 (0.008)
		50:100	Re-Sub	0.081 (0.004)	0.066 (0.008)	0.076 (0.005)	0.083 (0.004)
			LOPO	0.081 (0.004)	0.062 (0.009)	0.075 (0.005)	0.080 (0.005)
		100:50	Re-Sub	0.081 (0.005)	0.065 (0.009)	0.076 (0.006)	0.084 (0.005)
			LOPO	0.081 (0.005)	0.061 (0.010)	0.075 (0.006)	0.079 (0.008)
		100:100	Re-Sub	0.081 (0.004)	0.065 (0.008)	0.076 (0.005)	0.083 (0.004)
			LOPO	0.081 (0.004)	0.063 (0.008)	0.075 (0.005)	0.081 (0.004)
	0-0.2	50:50	Re-Sub	0.167 (0.010)	0.141 (0.016)	0.157 (0.013)	0.173 (0.010)
			LOPO	0.167 (0.011)	0.133 (0.018)	0.156 (0.013)	0.164 (0.013)
		50:100	Re-Sub	0.168 (0.008)	0.143 (0.013)	0.157 (0.010)	0.171 (0.008)
			LOPO	0.167 (0.008)	0.137 (0.014)	0.156 (0.010)	0.167 (0.008)
		100:50	Re-Sub	0.167 (0.010)	0.141 (0.016)	0.156 (0.012)	0.172 (0.010)
			LOPO	0.167 (0.010)	0.134 (0.017)	0.155 (0.012)	0.165 (0.013)
		100:100	Re-Sub	0.167 (0.007)	0.142 (0.013)	0.156 (0.009)	0.171 (0.007)
			LOPO	0.167 (0.007)	0.138 (0.013)	0.156 (0.009)	0.167 (0.007)