cherdano, on 2020-November-19, 09:43, said:
That's not how the Pfizer trial works. Their trial was in fact based on a Bayesion model. But the prior expectation they used is that the vaccine will just as likely be <= 30% effective than it will be >= 30%, with a 95% confidence interval ranging from -26.2% to 99.5%. That's conservative, based on the antibody results etc. from the Phase 1/2 trials - I think most experts had a higher prior for efficacy than that.
I think many underestimate how drastically these "low numbers" in the trial results change these priors.
Let me give an example. Let's say you are 99% convinced that the vaccine is at most 30% effective - in fact, let's be generous (given the trial results) and take that to mean a 99% chance of being _exactly 30%_ effective. You do, however, allow for a 0.99% chance of the vaccine being 80% effective, and a minimal 0.01% of it being 90% effective.
After the Pfizer trial, with 8 cases in the vaccine group and 162 in the placebo group, you should change these convictions to there being a
4*10^-20% chance of a 30% effectiveness, a 0.95% chance of it being 80% effective, and a 99.05% chance of it being 90% effective.
If efficacy was all there is to it, the trial would have already run waaaay too long. The only reason it wasn't stopped earlier is that the FDA reasonably insisted on two months of safety data after the second shot.
So there are safety trials and efficacy trials, I get that. In this trial 30,000 people were enrolled, 15000 got the active compound and none of them had any real problems. Tick, it's safe.
There were 95 DOCUMENTED cases of infection in the trial, We are not talking about black and white balls in a jar here.
Medicine doesn't work like that. You are probably right - for all our sakes I really want you to be right.
But the numbers are still numbers, and people act and behave differently. It's the same in Bridge.
I have made dozens of antibodies in my lifetime. I've even sold some of them. Images of them have graced the covers of scientific Journals.
Many of them work just fine for one application and then fail dismally for the application that wanted them for.
mRNA constructs are just as bad. I've also worked with RNA and DNA to interfere with biological processes in order to understand physiology.
Some work exactly as they should, some don't.
Everything is great in theory. Later when it comes time to saving lives problems can, and do, arise.
When this crisis started I suggested to the local Bridge clubs that it might be a good idea to close. My thoughts were met with derision.
You can't fight a virus with statistics.