. Author manuscript; available in PMC: 2020 Jun 14.

Published in final edited form as: Biometrics. 2019 Nov 11;76(2):484–495. doi: 10.1111/biom.13162

Table 3.

Analysis of the right-truncated AIDS data based on 116 observations, assuming positivity. UNADJ - the naive use of the Cox regression that ignores truncation. SE_a is the analytical estimate of SE, SE_bs is a bootstrap-based estimate of SE, pvalue is calculated using normal approximation and SE_a, and pvalue_bs uses bootstrap distribution based on 1000 bootstrap replications.

results for 2 age indicators in the model
	covariate	$\hat{β}$	SE_a	SE_bs	pvalue	pvalue_bs
IPW-S	⩽ 4y	1.32	0.45	0.49	0.003	0.007
	4 – 59y	1.10	0.42	0.47	0.008	0.019
IPW-NS	⩽ 4y	1.33		0.49		0.007
	4 – 59y	1.15		0.49		0.018
UNADJ	⩽ 4y	0.71	0.28		0.010
	4 – 59y	0.55	0.21		0.009
results for 1 age indicator in the model
	covariate	$\hat{β}$	SE_a	SE_bs	pvalue	pvalue_bs
IPW-S	⩽ 59y	1.18	0.38	0.41	0.002	0.005
IPW-NS	⩽ 59y	1.21		0.43		0.006
UNADJ	⩽ 59y	0.60	0.19		0.001