Just for fun 😄. I saw this post about Pfizer's Vaccine Effectiveness Simulation. So I simply translate the Bayesian model (implemented in Stan) into my favorite Julia library Turing.jl. For details, please read the link.
Very briefly, from Vaccine Effectiveness Simulation
NYT reports a 44 thousand person trial with half of the people going to treatment and half to control. They further report that 162 people developed COVID in the control group and 8 where in the vaccine group. What is the probability that the vaccine is effective and what is the uncertainty in that probability? The Pfizer protocol defines vaccine effectiveness as follows: