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Table 3 Definition of six epidemiological measures used to quantify COVID-19 attributable mortality. \({\varvec{O}}\) is the number of observable deaths and \({\varvec{E}}\) the number of expected deaths

From: Quantifying and communicating the burden of COVID-19

Definition

Formula

Interpretation

Appropriate for comparison of attributable mortality

Excess deaths (RD)

\(O-E\)

Total number of excess deaths

no

Per capita rate of excess deaths (RDp.c.)

\((O-E)/n\times \mathrm{100,000}\)

Excess deaths per 100,000 inhabitants

no

Standardized mortality ratio (SMR)

\(\frac{O}{E}\)

Ratio of observed to expected deaths

yes

p-score

\(\frac{O-E}{E}\)

Proportion of deaths above the expected level

yes

z-score

\(\frac{O-E}{sd(O)}\)

Number of standard deviations away from what is expected

no

Population attributable fraction (PAF)

\(\frac{O-E}{O}\)

Proportion of attributable deaths

yes