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

Table 3.

Simulation results for comparison of semi-parametric approach of Heagerty and Zheng (2005) (HZ2005) and non-parametric approach WMR. We assumed Inline graphic follows a mixture of two multivariate normal distributions: Inline graphic if Z = 1 and Inline graphic if Z = 0, where ZBernoulli (0.2). An independent censoring time was generated such that 20% of the subjects were censored. We show the estimated HZ2005, WMR, MCSDs, and the SD estimated using the proposed variance estimator (EstSD) and the coverage (nominal: 95.0) for WMR

Log time AUC(t) HZ2005 MCSD WMR MCSD EstSD Coverage
− 2.5 0.378 0.173 0.069 0.376 0.109 0.097 87.7
− 2.0 0.481 0.346 0.087 0.477 0.083 0.075 91.1
− 1.5 0.591 0.551 0.071 0.595 0.062 0.057 92.0
− 1.0 0.673 0.660 0.048 0.674 0.048 0.043 91.6
− 0.5 0.709 0.689 0.032 0.708 0.035 0.034 93.7
0.0 0.709 0.684 0.023 0.710 0.030 0.030 94.8
0.5 0.691 0.666 0.022 0.692 0.034 0.033 92.5
1.0 0.669 0.646 0.022 0.669 0.042 0.041 93.9