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. Author manuscript; available in PMC: 2014 Mar 1.
Published in final edited form as: Biometrics. 2013 Feb 14;69(1):91–100. doi: 10.1111/biom.12001

Table 2.

The bias (in percentage of the true value), average standard error (SE), empirical standard deviation (SD) for θ*, AUCx and AAUC estimators under NMAR verification process.

θ0=0.277
θ1=0.693
θ2=0.347

Estimator Bias (%) SE×100 SD×100 Coverage (%) Bias (%) SE×100 SD×100 Coverage (%) Bias (%) SE×100 SD×100 Coverage (%)
CC −144.0 6.99 7.24 0.0 17.6 9.04 9.31 72.1 72.1 8.35 8.54 15.3
FI1 −5.9 8.94 8.96 92.8 1.8 8.98 9.13 94.4 4.2 8.69 8.88 93.9
MSI1 −6.2 8.98 8.96 93.1 1.6 9.10 9.18 94.7 3.6 8.79 8.97 93.6
IPW1 −2.7 10.11 10.21 93.6 −0.2 11.61 12.01 93.9 −0.0 11.13 11.39 93.9
AUC(0,0) = 0.6092 AUC(1, 0.5) = 0.8737 AAUC = 0.7582

Estimator Bias (%) SE×100 SD×100 Coverage (%) Bias (%) SE×100 SD×100 Coverage (%) Bias (%) SE×100 SD×100 Coverage (%)
CC −25.9 2.76 2.86 0.0 −4.0 1.64 1.71 38.8 −10.0 1.59 1.65 0.5
FI1 −1.1 3.44 3.46 92.8 0.0 1.26 1.31 94.6 −1.2 2.85 2.87 91.8
MSI1 −1.2 3.46 3.56 93.1 −0.1 1.29 1.34 94.3 −1.2 2.67 2.86 91.4
IPW1 −0.6 3.88 3.93 93.6 −0.3 1.60 1.68 94.1 −1.2 2.86 2.94 92.0