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. 2017 Jun 12;19(1):103–118. doi: 10.1093/biostatistics/kxx029

Table 1.

Simulation results

n Estimator Bias MC SD Mean SE CP MSE
225 Per Protocol Inline graphic 0.629 0.173 0.174 0.045 0.426
  Self-Report IPW Inline graphic 0.403 0.155 0.154 0.257 0.187
  IPW Inline graphic 0.035 0.330 0.278 0.905 0.110
  Cutoff IPWInline graphic Inline graphic 0.140 0.860 0.740 0.978 0.758
  CUREInline graphic Inline graphic 0.119 0.768 0.689 0.976 0.603
  Cutoff IPWInline graphic Inline graphic 0.037 0.605 0.574 0.972 0.367
  CUREInline graphic Inline graphic 0.033 0.523 0.518 0.970 0.274
500 Per Protocol Inline graphic 0.636 0.114 0.117 0.000 0.417
  Self-Report IPW Inline graphic 0.405 0.101 0.103 0.024 0.174
  IPW Inline graphic 0.015 0.209 0.196 0.926 0.044
  Cutoff IPWInline graphic Inline graphic 0.010 0.665 0.659 0.983 0.442
  CUREInline graphic Inline graphic 0.047 0.530 0.571 0.978 0.283
  Cutoff IPWInline graphic 0.021 0.368 0.419 0.982 0.136
  CUREInline graphic Inline graphic 0.021 0.277 0.344 0.965 0.077
1000 Per Protocol Inline graphic 0.633 0.086 0.082 0.000 0.408
  Self-Report IPW Inline graphic 0.405 0.071 0.072 0.000 0.169
  IPW Inline graphic 0.009 0.154 0.143 0.937 0.024
  Cutoff IPWInline graphic 0.070 0.480 0.531 0.983 0.235
  CUREInline graphic Inline graphic 0.011 0.325 0.418 0.979 0.106
  Cutoff IPWInline graphic 0.053 0.244 0.279 0.977 0.062
  CUREInline graphic Inline graphic 0.007 0.173 0.208 0.963 0.030

Subscripts indicate the area under the ROC curve for discriminating compliers from non-compliers. MC SD, Monte Carlo standard deviation of the estimator; Mean SE, mean estimated standard error of the estimator; CP, coverage probability of 95% CI, MSE: mean squared error.