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. Author manuscript; available in PMC: 2021 Jan 1.
Published in final edited form as: Lifetime Data Anal. 2018 Nov 1;26(1):1–20. doi: 10.1007/s10985-018-9452-5

Table 1.

Equal Censoring. Dist: Sojourn Time Distributions; PC: Percent Censoring; SE: empirical standard error; SEE: mean of standard error estimator; CP: 95% coverage probability; RE: Relative efficiency of Proposed estimator compared to Gehan/P-P estimator = MSE(Gehan/P-P)/MSE(Proposed);. EV: Extreme-Value (log-Weibull); L: Logistic; N: Normal; CN1: Correlated Normal (ρ = 0.5); CN2: Correlated Normal(ρ=0.9).

Proposed Gehan Peto-Prentice Log-Rank

 N  Dist.  PC  Bias  SE  SEE  CP  Bias  SE  RE  Bias  SE  RE  Bias  SE  RE
 100  EV  50  0.012  0.196  0.198  0.935  0.016  0.216  1.213  0.016  0.206  1.101  0.012  0.200  1.034
 75  0.013  0.263  0.261  0.947  0.024  0.321  1.496  0.026  0.306  1.356  0.026  0.306  1.358
 L  50  0.012  0.303  0.295  0.938  0.014  0.314  1.073  0.013  0.318  1.101  0.013  0.335  1.219
 75  0.008  0.351  0.348  0.946  0.009  0.390  1.239  0.013  0.388  1.222  0.012  0.395  1.268
 N  50  −0.005  0.180  0.179  0.943  0.002  0.191  1.133  0.000  0.190  1.117  0.005  0.201  1.257
 75  −0.007  0.221  0.221  0.936  −0.000  0.253  1.314  −0.001  0.255  1.330  0.003  0.265  1.447
 CN1  50  0.005  0.211  0.205  0.941  0.005  0.225  1.144  0.007  0.226  1.153  0.003  0.241  1.308
 75  0.011  0.245  0.243  0.931  0.012  0.284  1.340  0.013  0.282  1.318  0.014  0.296  1.455
 CN2  50  −0.004  0.223  0.220  0.940  −0.005  0.238  1.136  −0.006  0.240  1.160  −0.003  0.252  1.282
 75  0.004  0.259  0.264  0.946  0.014  0.307  1.410  0.010  0.305  1.389  0.010  0.315  1.481
 200  EV  50  0.004  0.145  0.139  0.939  0.006  0.161  1.229  0.005  0.153  1.122  0.010  0.151  1.092
 75  −0.010  0.174  0.184  0.951  −0.004  0.214  1.504  −0.005  0.201  1.334  −0.004  0.206  1.401
 L  50  0.005  0.212  0.210  0.943  0.007  0.218  1.058  0.008  0.219  1.069  0.005  0.233  1.202
 75  −0.012  0.236  0.241  0.951  −0.002  0.268  1.291  −0.002  0.264  1.247  −0.000  0.268  1.286
 N  50  −0.000  0.130  0.127  0.944  −0.001  0.135  1.081  0.000  0.136  1.100  −0.002  0.145  1.244
 75  0.003  0.145  0.156  0.953  0.010  0.166  1.316  0.009  0.166  1.307  0.012  0.174  1.435
 CN1  50  −0.006  0.143  0.146  0.959  −0.007  0.155  1.173  −0.006  0.154  1.151  −0.007  0.163  1.296
 75  0.001  0.173  0.172  0.943  0.007  0.203  1.384  0.007  0.205  1.405  0.009  0.213  1.517
 CN2  50  0.000  0.155  0.156  0.949  −0.001  0.168  1.181  −0.000  0.167  1.169  0.003  0.175  1.279
 75  −0.002  0.180  0.186  0.955  −0.005  0.212  1.394  −0.005  0.210  1.361  −0.005  0.217  1.459