Table 1.
ρ = 0.01 | ρ = 0.025 | ρ = 0.05 | ρ = 0.1 | ||||||||||||||
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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 | |
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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 | |
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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 | |
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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 | |
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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 | |
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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 | |
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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.