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. Author manuscript; available in PMC: 2022 Apr 1.
Published in final edited form as: Stat Med. 2021 Feb 10;40(9):2177–2196. doi: 10.1002/sim.8896

TABLE 2.

Performance of IPCW model of the difference in RMTL in simulation studies, τ = 365 days

β1 = −54.75 days
β2 = −36.5 days
PSH Sample size Exposed Censoring Bias, days Rel bias RMSE, days Rel SE Cov Bias, days Rel bias RMSE, days Rel SE Cov
Yes 500 50% 10% 0.076 −0.001 13.241 0.956 0.938 0.049 −0.001 13.251 0.956 0.938
25% 0.135 −0.002 14.340 0.955 0.939 0.088 −0.002 14.282 0.955 0.942
25% 10% 0.307 −0.006 15.096 0.977 0.942 0.116 −0.003 15.332 0.977 0.936
25% 0.035 −0.001 16.661 0.957 0.935 0.481 −0.013 17.037 0.957 0.930
1000 50% 10% −0.039 0.001 9.251 0.968 0.943 −0.055 0.002 9.106 0.968 0.945
25% −0.149 0.003 10.132 0.957 0.937 0.097 −0.003 10.095 0.957 0.940
25% 10% −0.254 0.005 10.772 0.969 0.942 0.068 −0.002 10.852 0.969 0.933
25% 0.006 0.000 11.811 0.954 0.937 −0.086 0.002 11.781 0.954 0.938
No 500 50% 10% −0.204 0.004 13.411 0.963 0.942 −0.133 0.004 13.327 0.963 0.943
25% 0.097 −0.002 14.458 0.967 0.943 −0.341 0.009 14.375 0.967 0.943
25% 10% 0.077 −0.001 15.833 0.963 0.941 −0.276 0.008 15.311 0.963 0.941
25% −0.152 0.003 17.372 0.958 0.938 0.175 −0.005 17.405 0.958 0.938
1000 50% 10% 0.189 −0.003 9.304 0.982 0.942 −0.087 0.002 9.386 0.982 0.944
25% −0.163 0.003 10.366 0.954 0.938 −0.134 0.004 10.363 0.954 0.937
25% 10% −0.056 0.001 11.058 0.974 0.944 0.016 0.000 10.818 0.974 0.941
25% 0.034 −0.001 12.289 0.957 0.937 −0.190 0.005 12.066 0.957 0.937

Note: To assess the IPCW model, we generated competing risks data dependent on two binary covariates (Z1, Z2). We set the true unadjusted difference in RMTL at τ = 365 days, (β1,β2)={μ1,1z2(τ)μ1,0z2(τ),(μ1,z11(τ)μ1,z10(τ)}.

Abbreviations: IPCW, inverse probability of censoring weighted; PSH, proportional subdistribution hazards; Rel SE, mean estimated standard error/Monte Carlo empirical error; RMSE, root of mean squared error; RMTL, restricted mean time lost.