Population attributable fraction: comparison of two mathematical procedures to estimate the annual attributable number of deaths

Table 5 Comparison of hazard ratio (HR) and relative risk (RR) using the notations of Allison et al [1].

Hazard rate in nonexposed λ	Hazard ratio HR = h	Probability of death in nonexposed P(D\|R) = 1 - e^-λ	Probability of death in exposed P(D\|O) = 1 -e^-hλ	Relative risk
Theoretical comparison
0.01	1	0.00995	0.00995	1.00
	3		0.02955	2.97
	5		0.04877	4.90
	7		0.06761	6.79
0.10	1	0.09516	0.09516	1.00
	3		0.25918	2.72
	5		0.39346	4.13
	7		0.50341	5.29
Real example from table 3 of Allison et al [1]
0.008651	1.39	0.00861368777	0.0119528799	1.38766116
0.008651	0.98	0.00861368777	0.0084421433	0.98008466