I’m a bit confused by people in the comments entertaining the idea that priors should influence how we interpret the magnitude of the evidence, even though when I look at the Bayes’ rule it seems to say that the magnitude of the update (how much you have to multiply the odds) is independent of what your prior was. I know it’s not that simple because sometimes the evidence itself is noisy and needs interpretation “pre-processing” before plugging it to the equation, but this “pre-processing” step should use a different prior then the one we try to update. I’m not sure how exactly this “multi-stage Bayesian update rule” should work, and I was trying to describe my struggle in my https://www.lesswrong.com/posts/JtEBjbEZidruMBKc3/are-dogs-bad
I’m a bit confused by people in the comments entertaining the idea that priors should influence how we interpret the magnitude of the evidence, even though when I look at the Bayes’ rule it seems to say that the magnitude of the update (how much you have to multiply the odds) is independent of what your prior was. I know it’s not that simple because sometimes the evidence itself is noisy and needs interpretation “pre-processing” before plugging it to the equation, but this “pre-processing” step should use a different prior then the one we try to update. I’m not sure how exactly this “multi-stage Bayesian update rule” should work, and I was trying to describe my struggle in my https://www.lesswrong.com/posts/JtEBjbEZidruMBKc3/are-dogs-bad