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. 2020 May 18;23(1):173–188. doi: 10.1093/biostatistics/kxaa018

Table 2.

Simulation results for estimation of Inline graphic and Inline graphic.

        Inline graphic   Inline graphic
Inline graphic True Method   B MAD RMAD CP   B MAD RMAD CP
Estimation of Inline graphic
[0.05in] 6.931 Ideal   Inline graphic 0.034 0.245 0.247 0.950   Inline graphic 0.013 0.122 0.123 0.982
Case 1
0.1 6.931 EC   0.007 0.379 0.474 0.948   Inline graphic 0.007 0.168 0.197 0.978
0.3 6.931 EC   Inline graphic 0.041 0.498 0.637 0.942   Inline graphic 0.032 0.242 0.272 0.950
0.5 6.931 EC   Inline graphic 0.101 0.582 0.805 0.913   Inline graphic 0.104 0.283 0.345 0.948
0.7 6.931 EC   Inline graphic 0.211 0.632 0.894 0.922   Inline graphic 0.141 0.333 0.411 0.910
Case 2
0.1 6.931 EC   0.013 0.402 0.452 0.906   Inline graphic 0.007 0.176 0.195 0.964
0.3 6.931 EC   Inline graphic 0.033 0.440 0.603 0.940   Inline graphic 0.041 0.211 0.256 0.962
0.5 6.931 EC   Inline graphic 0.016 0.578 0.776 0.920   Inline graphic 0.064 0.286 0.324 0.936
0.7 6.931 EC   Inline graphic 0.059 0.700 0.966 0.890   Inline graphic 0.086 0.320 0.394 0.936
Case 3
0.1 6.931 EC   0.001 0.353 0.412 0.934   0.015 0.149 0.179 0.952
0.3 6.931 EC   Inline graphic 0.019 0.367 0.477 0.964   Inline graphic 0.012 0.186 0.211 0.958
0.5 6.931 EC   Inline graphic 0.026 0.425 0.549 0.970   Inline graphic 0.025 0.228 0.249 0.958
0.7 6.931 EC   Inline graphic 0.043 0.550 0.676 0.920   Inline graphic 0.013 0.265 0.293 0.938
Estimation of Inline graphic
Case 1
0.1 6.720 Naive   Inline graphic 0.039 0.255 0.255 0.940   Inline graphic 0.009 0.114 0.127 0.958
0.3 6.411 Naive   Inline graphic 0.032 0.283 0.263 0.968   Inline graphic 0.040 0.119 0.132 0.956
0.5 6.186 Naive   Inline graphic 0.053 0.271 0.270 0.942   Inline graphic 0.013 0.142 0.134 0.964
0.7 6.017 Naive   Inline graphic 0.035 0.264 0.274 0.938   Inline graphic 0.011 0.135 0.136 0.974
Case 2
0.1 6.720 Naive   Inline graphic 0.036 0.262 0.255 0.940   Inline graphic 0.011 0.125 0.127 0.958
0.3 6.411 Naive   Inline graphic 0.026 0.257 0.265 0.952   Inline graphic 0.015 0.121 0.131 0.952
0.5 6.186 Naive   Inline graphic 0.022 0.255 0.271 0.942   Inline graphic 0.008 0.126 0.134 0.954
0.7 6.017 Naive   Inline graphic 0.019 0.261 0.274 0.940   Inline graphic 0.011 0.121 0.136 0.962
Case 3
0.1 6.818 Naive   Inline graphic 0.023 0.251 0.253 0.958   Inline graphic 0.001 0.121 0.126 0.940
0.3 6.629 Naive   Inline graphic 0.023 0.243 0.258 0.958   0.000 0.135 0.129 0.942
0.5 6.476 Naive   Inline graphic 0.016 0.258 0.262 0.954   0.003 0.131 0.131 0.954
0.7 6.347 Naive   Inline graphic 0.018 0.274 0.267 0.938   Inline graphic 0.005 0.136 0.132 0.948

EC, error corrected; B, empirical bias based on the median; MAD, empirical median absolute deviation; RMAD, resampling median absolute deviation; CP, empirical coverage probability of 95% confidence interval.