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. Author manuscript; available in PMC: 2013 Nov 5.
Published in final edited form as: Ann Appl Stat. 2013 Sep 1;7(3):10.1214/13-AOAS634SUPP. doi: 10.1214/13-AOAS634SUPP

Table 4.

Performance of the nonparametric ROC(t) and Inline graphicROC(t) estimators. Standard errors of biases of ROC(t) or AROC(t) are less than 0.001. Standard errors for coverage of 95% confidence intervals do not exceed 0.7% of the value. Standard errors for relative efficiency do not exceed 1% of the value.

Population 1 Population 2 Combined-data
Bias × 1000
t = 0.1 0.012 0.014 0.008
t = 0.3 0.005 0.008 0.002
t = 0.5 0.004 0.006 0.002
t = 0.7 0.004 0.006 0.002
t = 0.9 0.004 0.006 0.002
Coverage of 95% bootstrap percentile CI
t = 0.1 94.4 95.4 95.6
t = 0.3 95.4 94.6 95.7
t = 0.5 94.8 94.2 95.6
t = 0.7 94.0 92.4 95.3
t = 0.9 90.2 82.9 93.8
Efficiency of CML relative to the nonparametric estimator
t = 0.1 1.83 1.64 1.84
t = 0.3 1.21 1.23 1.26
t = 0.5 1.28 1.29 1.32
t = 0.7 1.22 1.23 1.25
t = 0.9 1.72 1.68 1.88