It is related in the sense that if your prior for sensitivity is uniform, then the posterior is that beta distribution.
In my case I did not have a uniform prior on sensitivity, and did have a rough prior distribution over a few other factors I thought relevant, because reality is messy. Certainly don’t take it as “this is the correct value”, and the approach I took almost certainly has some major holes in it even given the weasel-words I used.
It is related in the sense that if your prior for sensitivity is uniform, then the posterior is that beta distribution.
In my case I did not have a uniform prior on sensitivity, and did have a rough prior distribution over a few other factors I thought relevant, because reality is messy. Certainly don’t take it as “this is the correct value”, and the approach I took almost certainly has some major holes in it even given the weasel-words I used.
Thanks for the info!