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. Author manuscript; available in PMC: 2014 Feb 26.
Published in final edited form as: Ann Appl Stat. 2013 Dec 23;7(4):2062–2080. doi: 10.1214/13-AOAS665

Table 1.

Monte Carlo simulations of the adjusted treatment effect, n = 100 per treatment stratum

Distribution γ Mean of β̂ (coverage probability)
Uncensored 25% censoring 50% censoring 75% censoring
Bernoulli 0.25 0.999 (0.963) 1.001 (0.925) 1.001 (0.933) 0.997 (0.817)
0.5 1.001 (0.958) 0.998 (0.936) 1.003 (0.885) 1.004 (0.790)
0.75 1.000 (0.954) 1.004 (0.924) 0.999 (0.918) 1.005 (0.780)
1 1.003 (0.946) 1.007 (0.935) 1.008 (0.909) 1.016 (0.744)
Normal* 0.25 1.001 (0.931) 0.996 (0.950) 1.000 (0.911) 1.000 (0.856)
0.5 1.002 (0.949) 1.000 (0.950) 1.006 (0.910) 0.995 (0.841)
0.75 1.010 (0.946) 0.994 (0.928) 1.003 (0.924) 0.983 (0.841)
1 1.006 (0.941) 0.995 (0.923) 0.982 (0.892) 1.028 (0.815)
Poisson 0.25 1.002 (0.959) 1.003 (0.943) 1.001 (0.935) 0.998 (0.841)
0.5 0.994 (0.939) 0.995 (0.936) 0.986 (0.899) 0.994 (0.804)
0.75 0.981 (0.924) 0.979 (0.892) 0.965 (0.873) 0.895 (0.768)
1 0.925 (0.894) 0.922 (0.850) 0.877 (0.828) 0.811 (0.758)
Gamma 0.25 1.001 (0.957) 0.999 (0.948) 1.002 (0.924) 0.996 (0.855)
0.5 0.999 (0.947) 0.997 (0.919) 0.996 (0.910) 0.997 (0.851)
0.75 0.998 (0.951) 0.989 (0.913) 0.970 (0.893) 0.957 (0.840)
1 0.931 (0.881) 0.908 (0.853) 0.915 (0.847) 0.882 (0.780)

For all models, the true value of β is 1.

Unmeasured Bernoulli covariate with π0 = 0.3, π1 = 0.866.

*

Unmeasured Normal covariate with μ0 = 0, μ1 = 1, σ0 = σ1 = 1.

Unmeasured Poisson covariate with λ0 = 1, λ1 = 1.58.

Unmeasured Gamma covariate with κ0 = κ1 = 0.75, θ0 = 0.5, θ1 = 0.868.