. Author manuscript; available in PMC: 2021 Jan 1.

Published in final edited form as: Stat Methods Med Res. 2019 Feb 25;29(1):243–257. doi: 10.1177/0962280219831725

Table 1.

Summary statistics of the ϕ_adj(t) estimators under scenario I and II for 80% censoring and an equal number of cases and controls. Bias: absolute difference between the true value of ϕ_adj(t) and the mean of the point estimator. ESD: empirical standard deviation. ASE: mean of asymptotic-based standard error estimates. CR pointwise: coverage rate of 95% pointwise confidence intervals. CR: coverage rate of 95% simultaneous confidence bands.

	Scenario I: binary U					Scenario II: continuous U
	Age	ϕ_adj(t)	Φ_adj(t)			Age	ϕ_adj(t)	Φ_adj(t)
	30	0.509	0.507			30	0.512	0.510
	50	0.491	0.486			50	0.497	0.492
	70	0.462	0.450			70	0.473	0.463
	Age	${\hat{ϕ}}_{a d j +}$	${\hat{ϕ}}_{a d j -}$	${\hat{ϕ}}_{a d j w}$		Age	${\hat{ϕ}}_{a d j +}$	${\hat{ϕ}}_{a d j -}$	${\hat{ϕ}}_{a d j w}$
Bias	30	0.000	−0.001	0.000	Bias	30	−0.001	−0.001	0.000
	50	0.000	−0.001	0.000		50	0.000	−0.001	0.000
	70	0.001	−0.001	0.000		70	0.001	−0.002	0.000
ESD	30	0.025	0.030	0.025	ESD	30	0.027	0.032	0.026
	50	0.027	0.031	0.025		50	0.027	0.031	0.026
	70	0.030	0.043	0.028		70	0.029	0.038	0.028
ASE	30	0.027	0.029	0.026	ASE	30	0.027	0.030	0.026
	50	0.027	0.030	0.026		50	0.027	0.030	0.026
	70	0.030	0.038	0.028		70	0.029	0.036	0.027
CR(%) pointwise	30	95.7	95.5	95.4	CR(%) pointwise	30	94.8	94.0	94.3
	50	95.1	94.8	95.1		50	94.6	95.3	94.9
	70	95.4	93.5	95.4		70	94.8	93.9	94.7
CR(%)	20:70	95.2	94.1	94.8	CR(%)	20:70	93.9	93.4	94.0