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. Author manuscript; available in PMC: 2018 Jul 19.
Published in final edited form as: Int J Biostat. 2016 May 1;12(1):131–155. doi: 10.1515/ijb-2015-0028

Table 2.

Comparison of inferences from three IPW estimators of six risk differences (RD) at 12 quarters based on four PS estimators. For each RD estimator, the PS estimator, the point estimate, standard error, its ratio to that of the hazard-based estimator with SL, the estimate of the lower and upper bound of the 95% confidence interval, and the associated p-value are denoted by gn, ψnθ1,θ2, Γnθ1,θ2, RE, ψnθ1,θ2,, ψnθ1,θ2,+, and p, respectively.

IPW θ1 θ2 gn
ψnθ1,θ2,+
Γnθ1,θ2
ψnθ1,θ2,
ψnθ1,θ2,+
p RE
ψn,HTθ1,θ2
8.5 8 gn,t,SL 7.3e-03 4.3e-03 −1.1e-03 0.0156 0.089 1.059
8.5 7.5 gn,t,SL 0.0231 7.5e-03 8.4e-03 0.0378 2e-03 1.054
8.5 7 gn,t,SL 0.0506 0.0129 0.0254 0.0758 0 1.031
8 7.5 gn,t,SL 0.0158 6.8e-03 2.5e-03 0.0292 2e-02 1.055
8 7 gn,t,SL 0.0433 0.0128 0.0182 0.0685 1e-03 1.033
7.5 7 gn,t,SL 0.0275 0.0118 4.4e-03 0.0506 0.019 1.029

ψn,bdθ1,θ2
8.5 8 gn,t,SL 9.8e-03 4.6e-03 8e-04 0.0188 0.032 1.137
8.5 7.5 gn,t,SL 0.0255 7.9e-03 1e-02 0.041 1e-03 1.112
8.5 7 gn,t,SL 0.0572 0.0127 0.0322 0.0822 0 1.021
8 7.5 gn,t,SL 0.0157 7.2e-03 1.5e-03 0.0298 3e-02 1.119
8 7 gn,t,SL 0.0474 0.0127 0.0224 0.0723 0 1.023
7.5 7 gn,t,SL 0.0317 0.0117 8.7e-03 0.0547 7e-03 1.025

ψn,hθ1,θ2
8.5 8 gn 0.0109 5.7e-03 −3e-04 0.022 0.056 1.411
8.5 7.5 gn 0.0212 8.7e-03 4.1e-03 0.0382 0.015 1.226
8.5 7 gn 0.0387 0.0135 0.0122 0.0652 4e-03 1.085
8 7.5 gn 0.0103 7.8e-03 −5e-03 0.0256 0.187 1.208
8 7 gn 0.0278 0.0138 8e-04 0.0549 0.044 1.11
7.5 7 gn 0.0175 0.0133 −8.5e-03 0.0435 0.187 1.161

ψn,hθ1,θ2
8.5 8 gn,t 9.9e-03 5.5e-03 −9e-04 0.0207 0.071 1.361
8.5 7.5 gn,t 0.025 7.8e-03 9.6e-03 0.0404 1e-03 1.103
8.5 7 gn,t 0.0418 0.0126 0.0172 0.0664 1e-03 1.006
8 7.5 gn,t 0.0151 7.1e-03 1.2e-03 0.029 0.033 1.097
8 7 gn,t 0.0319 0.0129 6.7e-03 0.0571 0.013 1.036
7.5 7 gn,t 0.0168 0.012 −6.7e-03 0.0403 0.162 1.05

ψn,hθ1,θ2
8.5 8 gn,t, × 0.0129 5.5e-03 2.1e-03 0.0237 2e-02 1.37
8.5 7.5 gn,t, × 0.0337 7.9e-03 0.0183 0.0491 0 1.104
8.5 7 gn,t, × 0.0483 0.0129 0.0229 0.0737 0 1.037
8 7.5 gn,t, × 0.0209 6.9e-03 7.3e-03 0.0345 3e-03 1.075
8 7 gn,t, × 0.0354 0.0129 1e-02 0.0608 6e-03 1.042
7.5 7 gn,t, × 0.0146 0.0121 −9.2e-03 0.0383 0.23 1.06

ψn,hθ1,θ2
8.5 8 gn,t,SL 8e-03 4e-03 1e-04 0.0159 0.046 1
8.5 7.5 gn,t,SL 0.0216 7.1e-03 7.7e-03 0.0356 2e-03 1
8.5 7 gn,t,SL 0.041 0.0125 0.0166 0.0655 1e-03 1
8 7.5 gn,t,SL 0.0136 6.5e-03 1e-03 0.0263 0.035 1
8 7 gn,t,SL 0.033 0.0124 8.6e-03 0.0574 8e-03 1
7.5 7 gn,t,SL 0.0194 0.0114 −3e-03 0.0418 9e-02 1