My point is more like: If scientific interest only rests on some limited aspect of the problem, you can’t avoid priors by, e.g., simpy reporting likelihood ratios. Likelihood ratios summarize information about the entire problem, including the auxiliary, scientifically uninteresting aspects. The Bayesian way of making statements free of the auxiliary aspects (marginalization) requires, at the very least, a prior over those aspects.
I’m not sure if I agree or disagree with the third sentence on down because I don’t understand what you’ve written.
My point is more like: If scientific interest only rests on some limited aspect of the problem, you can’t avoid priors by, e.g., simpy reporting likelihood ratios. Likelihood ratios summarize information about the entire problem, including the auxiliary, scientifically uninteresting aspects. The Bayesian way of making statements free of the auxiliary aspects (marginalization) requires, at the very least, a prior over those aspects.
I’m not sure if I agree or disagree with the third sentence on down because I don’t understand what you’ve written.