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Summary EPH2021 Formula Sheet

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All formulas needed in EPH2021 Demography and Epidemiology of Ageing and Migration in the EU for calculating measures of association (OR, RR, AR, AP), measures of diagnostic accuracy (Sn, Sp, PPV, NPV, Prevalence), and reliability (Cohen's Kappa)

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October 20, 2021
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2021/2022
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EPH2021 Formula sheet exam (page 1/2)


Measures of association

Two by two table
Cases Non-cases
Exposed a b
Non-exposed c d

Odds ratio (OR)
Exposure odds cases (a/(a+c))/(c/(a+c)) a/c a*d
OR = = = =
Exposure odds non-cases (b/(b+d))/(d/(b+d)) b/d b*c

Relative risk (RR)
I exposed a/(a+b) I: Incidence
RR = =
I non-exposed c/(c+d)

Attributable risk (AR)
AR = I exp – I non-exp
= (a/(a+b)) – (c/(c+d))

Attributable proportion (AP) among the exposed
I exp – I non-exp (a/(a+b)) – (c/(c+d))
AP exp = =
I exp (a/(a+b))

AP exp = (RR – 1)/RR

Attributable proportion (AP) in the total population
I tot – I non-exp ((a+c)/N) – (c/(c+d)) N=a+b+c+d
AP tot = =
I tot (a+c)/N

AP tot = (p(RR-1)) / (p(RR-1) +1) p: proportion of exposed individuals




See next page for formulas of measures of diagnostic accuracy and reliability

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European Public Health, Maastricht University

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