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. Author manuscript; available in PMC: 2015 May 14.
Published in final edited form as: Comput Stat Data Anal. 2013 Dec 4;73:16–26. doi: 10.1016/j.csda.2013.11.018

Table 1.

Consistency results for τ̂c1 for censoring probabilities of 70% and 20% for N = 500. Each average was taken over 1000 repetitions (5000 for variances for 70% censoring). The column τ̂c1 represents the average value of τ̂c1 and the column τ̂c* represents the average value of τ̂c*. The column σ̂2(τ̂c1) represents the average analytical variance of τ̂c1, just as σ̂2(τ̂c*) represents the average analytical variance of τ̂c*. P = Power; EV = empirical variance

Censoring τc τ̂c1
τ̂c*
σ̂2(τ̂c1) EV(τ̂c1)
σ̂2(τ̂c*)
EV(τ̂c*)
P(τ̂c1)
P(τ̂c*)
0.70 −0.79 −0.791 −0.744 0.0073 0.0073 0.0049 0.0049 1.000 1.000
−0.38 −0.381 −0.345 0.0072 0.0070 0.0047 0.0044 1.000 1.000
−0.33 −0.318 −0.257 0.0072 0.0070 0.0029 0.0026 0.99 0.997
−0.22 −0.218 −0.174 0.0071 0.0069 0.0028 0.0025 0.816 0.907
−0.12 −0.116 −0.091 0.0070 0.0067 0.0025 0.0025 0.291 0.395
−0.018 −0.018 −0.014 0.0055 0.0050 0.0025 0.0025 0.061 0.07
0.000 −0.002 −0.005 0.0055 0.0048 0.0023 0.0024 0.049 0.051
0.019 0.018 0.015 0.0054 0.0047 0.0024 0.0024 0.072 0.066
0.10 0.103 0.082 0.0053 0.0053 0.0024 0.0023 0.37 0.378
0.17 0.172 0.142 0.0054 0.0045 0.0023 0.0024 0.719 0.801
0.24 0.237 0.205 0.0055 0.0049 0.0025 0.0025 0.922 0.982
0.44 0.436 0.403 0.0056 0.0051 0.0029 0.0027 1.000 1.000
0.66 0.678 0.642 0.0064 0.0060 0.0034 0.0033 1.000 1.000
0.20 −0.79 −0.790 −0.777 0.0019 0.0018 0.0016 0.0015 1.000 1.000
−0.38 −0.379 −0.365 0.0015 0.0016 0.0012 0.0011 1.000 1.000
−0.33 −0.319 −0.313 0.0010 0.0009 0.0010 0.0010 1.000 1.000
−0.22 −0.222 −0.217 0.0011 0.0010 0.0011 0.0010 1.000 1.000
−0.12 −0.118 −0.116 0.0010 0.0010 0.0011 0.0010 0.963 0.95
−0.018 −0.018 −0.018 0.0010 0.0010 0.0010 0.0010 0.088 0.091
0.000 0.001 −0.002 0.0011 0.0010 0.0010 0.0011 0.051 0.050
0.019 0.019 0.017 0.0010 0.0011 0.0010 0.0011 0.101 0.096
0.10 0.103 0.100 0.0009 0.0009 0.0010 0.0010 0.92 0.897
0.17 0.173 0.170 0.0009 0.0008 0.0009 0.0009 1.000 1.000
0.24 0.238 0.235 0.0009 0.0007 0.0009 0.0008 1.000 1.000
0.44 0.441 0.403 0.0008 0.0007 0.0007 0.0006 1.000 1.000