. Author manuscript; available in PMC: 2024 Nov 7.

Published in final edited form as: Mathematics (Basel). 2022 Feb 13;10(4):584. doi: 10.3390/math10040584

Table 2.

Application to an HIV prevention trial HPTN 052. The proposed time-varying $F$ -measure captures the proportion of treatment effect explained by the plasma HIV-1 viral load.

Marker Time^a	Delayed ART Arm		Immediate ART Arm		$F$ -Measure
Marker Time^a	Prevalence of Viral Load ≥ 1000	Hazard Ratio^b	Prevalence of Viral Load ≥ 1000	Hazard Ratio^b	Estimator	95% CI
2	0.88	1.39	0.08	2.20	0.18	−0.03, 0.39
3	0.88	0.94	0.08	3.21^*	0.41	0.13, 0.70
4	0.87	1.00	0.09	4.49^*	0.52	0.09, 0.95
5	0.85	1.59	0.08	5.59^*	0.72	0.10, 1.34
6	0.81	2.51^*	0.07	4.49^*	1.12	−0.42,2.67
7	0.75	2.11	0.08	6.55^*	0.81	−0.92,2.54

The time point (quarter) when plasma HIV-1 viral load was measured.

Hazard ratio between groups with a viral load higher and lower than 1000 copies per cubic millimeter.

Significant results at the level of 0.05 are marked with *.