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The relative risk (also called 'risk ratio') is the quotient of the probabilities of an event under two conditions (ie, p1/p2). The RR has a possible range of [0, +infinity). It is a common measure of effect size in biomedical research.
41
votes
Accepted
How exactly is the "effectiveness" in the Moderna and Pfizer vaccine trials estimated?
Moderna
Based on the press release we can assume that there were 30 000 patients total and observed were 90 infections among placebo and 5 infections among the vaccinated group.
Let's assume that the …
1
vote
Math formula to reproduce a plot comparing Relative Risk to Odds Ratios
Your graphs are correct but you have different scales (see the lower left corner being more or less 2,2 instead of 0.1,0.1). You get something more similar (limits of RR and OR closer to 0.1) if you …
1
vote
Accepted
how to map an estimated risk ratio of 0.76 to increased life expectancy
One way to approach this is to use the death rate $f(j)$ at a specific age $j$ in a specific year, which can be obtained from life tables, in order to predict the life expectancy of a person current …
0
votes
Can I use a Hazard Ratio to determine the absolute risk of a population?
Hazard and risk are not directly related.
An extreme example, consider the risk of dying before 130 years old, and the hazard of dying due to smoking. If you smoke then you experience a higher hazard …
0
votes
Summary RR to % risk increase?
How would they have converted the summary RR to an absolute risk like this?
A risk ratio of 1.57 means that the one risk is relatively 1.57 times the other risk. The relative difference in risk is 5 …
39
votes
Accepted
Which statistical model is being used in the Pfizer study design for vaccine efficacy?
The relation between efficiency and illness risk ratio
I want to know why vaccine efficacy is defined as illustrated at the bottom of this page:
$$ \text{VE} = 1 - \text{IRR}$$
where
$$ \text{IRR} = …
1
vote
Calculate a permutation-based p-value for a risk ratio
given that the resulting null distribution of permuted risk ratios is skewed and centred on 1?
You can express the risk ratio, the ratio of probabilities for the cases $x_0$ and $x_1$ given the othe …
2
votes
Why does glm in R with family binomial(link="log") sometimes require start values?
Pbulls answer explains the problem well. The values cannot be outside 0 and 1, which the logit link satisfies for every possible starting condition but the log link doesn't.
There is a hack to get aro …