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. Author manuscript; available in PMC: 2022 Sep 22.
Published in final edited form as: Clin Trials. 2020 Aug 24;17(6):627–636. doi: 10.1177/1740774520936668

Table 1.

Simulation results for the scenario with a trial effect.

ρ = 0.01 ρ = 0.025 ρ = 0.05 ρ = 0.1
True β (log RR) 0 0.337 0.470 0.693 0 0.337 0.470 0.693 0 0.337 0.470 0.693 0 0.337 0.470 0.693
True β (log RR) 0 0.400 0.560 0.847 0 0.400 0.560 0.847 0 0.400 0.560 0.847 0 0.400 0.560 0.847

Bias Imputation-GEE 0.002 0.010 0.012 0.014 0.003 0.012 0.015 0.017 0.003 0.015 0.018 0.021 0.001 0.017 0.022 0.028
available cases-GEE −0.005 0.004 0.008 0.011 −0.004 0.007 0.010 0.014 −0.004 0.009 0.013 0.019 −0.007 0.012 0.017 0.026
Imputation-GLM 0.003 0.010 0.012 0.015 0.004 0.012 0.015 0.018 0.003 0.014 0.017 0.021 0.002 0.017 0.020 0.026
available cases-GLM −0.003 0.004 0.007 0.009 −0.002 0.007 0.009 0.012 −0.002 0.009 0.011 0.015 −0.004 0.011 0.014 0.020
intent to treat-GEE −0.003 0.004 0.007 0.009 −0.002 0.007 0.009 0.012 −0.002 0.009 0.011 0.015 −0.004 0.011 0.014 0.020

Relative Bias Imputation-GEE - 0.024 0.021 0.015 - 0.029 0.025 0.018 - 0.036 0.030 0.024 - 0.042 0.037 0.031
available cases-GEE - 0.011 0.013 0.013 - 0.016 0.017 0.016 - 0.023 0.023 0.021 - 0.029 0.029 0.028
Imputation-GLM - 0.030 0.027 0.021 - 0.037 0.031 0.025 - 0.043 0.036 0.030 - 0.049 0.043 0.037
available cases-GLM - 0.013 0.014 0.013 - 0.020 0.019 0.017 - 0.026 0.024 0.022 - 0.032 0.031 0.029
intent to treat-GEE - 0.013 0.014 0.013 - 0.020 0.019 0.017 - 0.026 0.024 0.022 - 0.032 0.031 0.029

ASE Imputation-GEE 0.323 0.304 0.298 0.290 0.350 0.331 0.325 0.317 0.391 0.370 0.364 0.355 0.459 0.437 0.430 0.420
available cases-GEE 0.325 0.306 0.300 0.292 0.353 0.334 0.327 0.319 0.394 0.373 0.367 0.358 0.463 0.441 0.434 0.424
Imputation-GLM 0.261 0.239 0.231 0.221 0.285 0.261 0.253 0.242 0.319 0.292 0.283 0.271 0.382 0.351 0.339 0.325
available cases-GLM 0.260 0.238 0.230 0.220 0.285 0.260 0.252 0.241 0.319 0.292 0.283 0.271 0.382 0.350 0.339 0.325
intent to treat-GEE 0.249 0.231 0.227 0.225 0.272 0.252 0.247 0.243 0.304 0.281 0.275 0.269 0.359 0.333 0.325 0.315

SD Imputation-GEE 0.315 0.297 0.290 0.282 0.345 0.324 0.317 0.310 0.384 0.362 0.355 0.347 0.461 0.435 0.426 0.417
available cases-GEE 0.316 0.297 0.291 0.284 0.346 0.325 0.319 0.311 0.386 0.364 0.357 0.349 0.463 0.437 0.428 0.419
Imputation-GLM 0.230 0.211 0.203 0.192 0.243 0.222 0.215 0.203 0.262 0.240 0.232 0.219 0.297 0.272 0.263 0.248
available cases-GLM 0.243 0.221 0.213 0.201 0.257 0.234 0.225 0.212 0.277 0.253 0.244 0.230 0.315 0.288 0.277 0.262
intent to treat-GEE 0.260 0.238 0.230 0.220 0.285 0.260 0.252 0.241 0.319 0.292 0.283 0.271 0.382 0.350 0.339 0.325

RSE Imputation-GEE 1.023 1.026 1.027 1.028 1.017 1.022 1.024 1.023 1.017 1.022 1.024 1.021 0.997 1.005 1.010 1.008
available cases-GEE 1.027 1.029 1.031 1.031 1.021 1.026 1.027 1.025 1.020 1.026 1.027 1.025 1.001 1.009 1.014 1.011
Imputation-GLM 0.884 0.883 0.881 0.872 0.852 0.851 0.849 0.839 0.823 0.820 0.818 0.807 0.778 0.775 0.775 0.763
available cases-GLM 0.933 0.930 0.926 0.913 0.900 0.898 0.893 0.880 0.871 0.866 0.863 0.849 0.825 0.821 0.819 0.806
intent to treat-GEE 0.959 0.971 0.986 1.021 0.954 0.966 0.977 1.005 0.954 0.964 0.974 0.994 0.940 0.950 0.959 0.971

CP(%) Imputation-GEE 94.6 95.0 95.1 94.8 94.5 94.8 95.0 94.5 94.3 94.4 94.5 94.6 93.3 94.0 93.9 93.9
available cases-GEE 94.5 95.0 94.9 94.7 94.5 94.6 95.0 94.6 94.2 94.5 94.5 94.7 93.5 94.0 94.0 93.9
Imputation-GLM 92.7 92.8 92.7 92.5 91.5 91.6 91.4 91.1 89.8 89.9 90.0 89.4 87.9 88.1 87.9 87.5
available cases-GLM 94.1 94.1 94.0 93.8 93.0 93.0 93.0 92.7 91.8 91.9 91.8 91.2 89.9 90.3 89.9 89.3
intent to treat-GEE 94.0 94.6 95.1 95.7 94.0 94.5 94.7 95.3 94.1 94.4 94.5 95.1 93.8 94.1 94.3 94.6

Bias=mean estimate — true value, Relative bias= bias/true value, ASE=average of estimated standard errors, SD=standard deviation of the estimates, RSE = ASE/SD, CP=95% coverage probability, ρ = intracluster correlation coefficient, β = log RR of interest, RR=risk ratio, OR=odds ratio.