To me the fact that they feature so prominently raises the question of how much certain commitments to “bayesianism” reflect actual usage of bayesian methods vs a kind of pop-science version of bayesianism.
This is a valid concern. I’m new here and just going through the sequences (though I have a mathematics background), but I have yet to see a good framing of bayesian/frequentist debate as maximum likelihood vs maximum a-posteriori. (I welcome referrals)
I think people like to make these “methodological” critiques
Yes, there is a methodological critique to strict p-value calculations, but in the absence of informative priors p values are a really good indicator for experiment design. I feel that in hyping up Bayesian updates people are missing that and not offering a replacement. The focus on methods is a strength when you are talking about methods.
Interesting. Presumably if Bessel never got the results he wanted, he could (assuming he’s honest) continue until the negative data was enough to convince himself that he was wrong. Depending on his prior that might not happen, he could run out of money or motivation before he gave up and published a negative result. Avoiding this seems related to issues about publishing negative results and timely reporting of raw data.
With regards to the biased reporting, I’ll just mention that we would have to adjust for known bias wether we were using Bayesian or frequentist methods.