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Lesson #11 Relative Risk and the Odds Ratio. P(D | E). The risk of disease, given exposure, is:. The risk of disease, given no exposure, is:. P(D | E’). The relative risk is. LC no LC. Smoke. 12. 88. 100. No Smoke. 150. 3. 147. P(LC | Smoke). = .12. P(LC | No Smoke).
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Lesson #11 Relative Risk and the Odds Ratio
P(D | E) The risk of disease, given exposure, is: The risk of disease, given no exposure, is: P(D | E’) The relative risk is
LC no LC Smoke 12 88 100 No Smoke 150 3 147 P(LC | Smoke) = .12 P(LC | No Smoke) = .02 = 6 RR =
D D’ E E’ Cohort Study n
If p = P(event), then odds = The odds of disease, given exposure: The odds of disease, given no exposure:
Disease Odds Ratio OR = Can calculate as shown only from a cohort study
D D’ E E’ Case-Control Study n
From a case-control study, we can calculate things like: P(E | D) , P(E’ | D) , P(E | D’ ) , & P(E’ | D’ ) The odds of exposure, given disease:
Exposure Odds Ratio OR Can calculate as shown from a case-control study
OR D D’ E E’ a b c d a+c b+d OR =
The disease odds ratio is also OR OR is used to estimate RR! OR can be calculated in any study design!
CHD no CHD High Fat 150 120 not High Fat 50 180 OR = 200 300
CHD no CHD High Fat 150 120 not High Fat 50 180 200 300 (150) OR =
CHD no CHD High Fat 150 120 not High Fat 50 180 200 300 (150) (180) OR =
CHD no CHD High Fat 150 120 not High Fat 50 180 200 300 (150) (180) OR = (120)
CHD no CHD High Fat 150 120 not High Fat 50 180 200 300 (150) (180) OR = (120) (50)
CHD no CHD High Fat 150 120 not High Fat 50 180 200 300 (150) (180) OR = = 4.5 (120) (50)
CHD no CHD (150) (180) OR = = 4.5 (50) (120) HF 150 150 120 240 not HF 50 50 180 360 200 300 CHD no CHD (150) (360) OR = = 4.5 (50) (240) HF not HF 200 600 150/270 “RR” = = 2.56 50/230 150/390 “RR” = = 3.15 50/410
Liver Cancer Heavy 46 39 Light Alcohol Consumption 33 82 None 10 32 Yes No 89 153
Liver Cancer Heavy 46 39 Light Alcohol Consumption 33 82 None 10 32 Yes No 89 153
Liver Cancer Heavy 46 39 Light Alcohol Consumption 33 82 None 10 32 Yes No 89 153