Sharp bounds on sufficient-cause interactions under the assumption of no redundancy

Table 1 Bounds on sufficient-cause interactions in a cohort study on hypertension risk (Example 1)

	Case number	Population	Risk	Cumulative completion risk of sufficient-cause interaction				Relative prevalence of sufficient-cause interaction
	Case number	Population	Risk	95% LCL^c	LB^c	UB^c	95% UCL^c	95% LCL^c	LB^c
Specific (BMI^a, age^b)
(low, young)	79	1810	0.0437	0.0000	0.0000	0.0436	0.0530	0.0000	0.0000
(low, old)	100	681	0.1468	0.0000	0.0000	0.1468	0.1733	0.0000	0.0000
(high, young)	153	1385	0.1105	0.0000	0.0000	0.1105	0.1278	0.0000	0.0000
(high, old)	278	1021	0.2723	0.0000	0.0411	0.2723	0.2997	0.0000	0.1509
Global	610	4897	0.1246	0.0338	0.0830	0.4718	0.4993	0.0879	0.1758

^aold: age ≥ 40 years; young: age < 40
^b BMI body mass index; high: BMI ≥ 25 kg/m²; low: BMI < 25
^c LCL lower confidence limit for the lower bound, LB lower bound, UB upper bound, UCL upper confidence limit for the upper bound

ISSN: 1471-2288