>>13208133I'm going to start with RRR using the Pfizer vaccine numbers
>Ranking by reported efficacy gives relative risk reductions of 95% for the PfizerThat means
(CER – EER)/CER = 95% = RRR
Where:
CER = control group event rate (the percentage of people that didn't take the vaccine and got covid)
EER = experimental group event rate (the percentage of people took the vaccine and got covid)
So the Relative Risk, given by EER/CER is 5%
This means that
>the group that received Pfizer's vaccine and still got covid is 5% of
>the group that didn't take the vaccine and got covidIn other words, EER = 5% of CER
For example, if the control group were made of 100 people and 20 got covid, the CER is 20%. The EER is 5% of that percentage, or 1%, which is the same as only 1 person in a group of 100 vaccinated people getting covid. The absolute risk reduction in this example would be 19%.
But what was the actual given CER?
>and 0·84% for the Pfizer–BioNTech vaccines.Absolute Risk Reduction = CER – EER
AAR = CER - 5% CER = 95% CER
The AAR is mentioned as 0.84%, so the CER is 0.84% / 95%, which is 0.884210526%
That means, that in Pfizer's data, 0.884210526% of the control group got covid. If CER = 0.884210526%, then EER is 5% of that, which is 0.044210526%
If the entire USA population (331,449,281) took Pfizer's vaccine, only 146,535 would get covid. But that assumes that if the entire USA population did NOT get the vaccine, only 2,930,709 people would get covid.
Only 2,784,174 individuals out of the entire population would get any benefit from the vaccine if everyone got vaccinated according to Pfizer's data.
Considering the CER, your chance of NOT getting covid without getting the vaccine is 99.115789474%.
Considering the EER, your chance of NOT getting covid by taking the vaccine is 99.955789474%, an increase of 0.84% in your chance of NOT getting covid like the ARR says.