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. 2012 Jun 25;14(1):42–59. doi: 10.1093/biostatistics/kxs021

Table 2.

Simulation results for comparison of two markers via the difference in respective WMR estimators. We assumed Inline graphic follows a multivariate normal distribution with Inline graphic, Inline graphic, and cor(MA,MB) = 0.8. An independent censoring time was generated such that either 20% or 40% subjects were censored. We show the difference between the theoretical AUC for marker A versus marker B (dAUC(t)), the difference between the corresponding estimated WMR statistics (dWMR(t)), the Monte-Carlo SD (MCSD) and the SD estimated using the proposed variance estimator (EstSD) and the coverage (nominal: 95.0)

Log time dAUC(t) dWMR(t) MCSD EstSD Coverage
20% censoring
− 2.0 0.101 0.099 0.062 0.054 88.8
− 1.5 0.098 0.096 0.040 0.040 94.5
− 1.0 0.091 0.090 0.032 0.032 94.6
− 0.5 0.080 0.078 0.029 0.029 94.8
0.0 0.070 0.069 0.030 0.029 94.9
0.5 0.060 0.060 0.037 0.035 93.2
1.0 0.051 0.053 0.054 0.051 93.3
40% censoring
− 2.0 0.101 0.099 0.062 0.054 88.8
− 1.5 0.098 0.096 0.041 0.040 94.7
− 1.0 0.091 0.090 0.033 0.033 95.0
− 0.5 0.080 0.079 0.031 0.031 94.8
0.0 0.070 0.071 0.035 0.035 94.5
0.5 0.060 0.061 0.048 0.047 94.8
1.0 0.051 0.053 0.100 0.089 93.3