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Joel-Miller-Lab / InfectiousMath

This is intended to provide a set of self-contained examples, much like the Mudd math fun facts which demonstrate mathematics through biological examples.
MIT License
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Failure of vaccination denominators #2

Open joelmiller opened 3 years ago

joelmiller commented 3 years ago

How many identified cases are vaccinated? So many people getting P(vacc|inf) rather than P(inf|vacc)

joelmiller commented 3 years ago

Expanding a bit on the problem...

If a large enough fraction get vaccinated, then the proportion of infected people who are vaccinated can be larger than the proportion who are not vaccinated.

But these are the wrong proportions to compare. It should be a comparison of the proportion of infected people who are vaccinated versus the proportion of the population who are vaccinated.