In epidemiology, preventable fraction among the unexposed (PFu), is the proportion of incidents in the unexposed group that could be prevented by exposure. It is calculated as [math]\displaystyle{ PF_u = (I_u - I_e)/I_u = 1 - RR }[/math], where [math]\displaystyle{ I_e }[/math] is the incidence in the exposed group, [math]\displaystyle{ I_u }[/math] is the incidence in the unexposed group, and [math]\displaystyle{ RR }[/math] is the relative risk.[1][2] It is a synonym of the relative risk reduction. It is used when an exposure reduces the risk, as opposed to increasing it, in which case its symmetrical notion is attributable fraction among the exposed.[citation needed]
Example of risk reduction | |||
---|---|---|---|
Experimental group (E) | Control group (C) | Total | |
Events (E) | EE = 15 | CE = 100 | 115 |
Non-events (N) | EN = 135 | CN = 150 | 285 |
Total subjects (S) | ES = EE + EN = 150 | CS = CE + CN = 250 | 400 |
Event rate (ER) | EER = EE / ES = 0.1, or 10% | CER = CE / CS = 0.4, or 40% |
Equation | Variable | Abbr. | Value |
---|---|---|---|
CER - EER | absolute risk reduction | ARR | 0.3, or 30% |
(CER - EER) / CER | relative risk reduction | RRR | 0.75, or 75% |
1 / (CER − EER) | number needed to treat | NNT | 3.33 |
EER / CER | risk ratio | RR | 0.25 |
(EE / EN) / (CE / CN) | odds ratio | OR | 0.167 |
(CER - EER) / CER | preventable fraction among the unexposed | PFu | 0.75 |
Original source: https://en.wikipedia.org/wiki/Preventable fraction among the unexposed.
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