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PSM · Epidemiology: population attributable fraction
Sample itemIn a community, 30% of adults smoke. The relative risk of chronic bronchitis in smokers compared with non-smokers is 5. Using Levin's formula, what proportion of all chronic bronchitis in this community is attributable to smoking?
Original practice item, not a recalled exam question. Nothing here is recorded.
The answer and the reasoning
D. About 55%
Levin's formula gives the population attributable fraction as p(RR - 1) / [1 + p(RR - 1)], where p is the prevalence of exposure. Here p(RR - 1) = 0.3 x 4 = 1.2, so the fraction is 1.2 / 2.2 = 0.545, or about 55%. It is the share of disease in the whole community that would disappear if the exposure were removed.
Option by option
A. About 80%
(RR - 1) / RR = 4 / 5 = 80% is the attributable fraction among the exposed only, not in the whole community.
B. About 30%
30% is simply the prevalence of smoking and ignores the relative risk.
C. About 24%
Multiplying exposure prevalence by the attributable fraction in the exposed (0.3 x 0.8) is not the formula for the population attributable fraction.
D. About 55% (correct)
The calculation 1.2 / 2.2 gives about 55%, the share of all cases in the community due to smoking.
Source note: Original NextPrep sample item — pending expert review. This item is original practice material awaiting independent expert review, so confirm important facts in a standard textbook.
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