Table 4.

Results from testing for a difference in survival at time t = 2.5 years between the two treatment groups from ACTG Protocol 175 using a Kaplan Meier estimator, Δ̂_KM(t), the proposed estimator using Z information only, Δ̂^Z(t), T_𝕊 information only, ${\mathrm{\Delta ̂}}_{\mathrm{L}\mathrm{M}}^{T_{𝕊}}(t)$, Z and T_𝕊 information, ${\mathrm{\Delta ̂}}_{\mathrm{L}\mathrm{M}}^{\mathbf{W}}(t)$, and the augmented estimator, ${\mathrm{\Delta ̂}}_{\mathrm{A}\mathrm{U}\mathrm{G}}^{\mathbf{W}}(t)$ with corresponding standard error from the perturbation-resampling method (SE) and efficiency relative to Ŝ_KM(t) with respect to variance (RE) and p-value

	Δ̂KM(t)	Δ̂Z(t)	${\mathrm{\Delta ̂}}_{\mathrm{L}\mathrm{M}}^{T_{𝕊}}(t)$	${\mathrm{\Delta ̂}}_{\mathrm{L}\mathrm{M}}^{\mathrm{W}}(t)$	${\mathrm{\Delta ̂}}_{\mathrm{A}\mathrm{U}\mathrm{G}}^{\mathrm{W}}(t)$
Estimate	0.03	0.03	0.02	0.03	0.03
SE	0.0153	0.0143	0.0143	0.0140	0.0125
RE	1.00	1.13	1.14	1.19	1.49
p-value	0.09	0.04	0.10	0.05	0.03