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Why strong tests are good for scientific progress, the Bayesian epistemology take. TL;DR we wanna maximize the difference between Pr(T1) and Pr(T2), so we choose a test that yields evidence that would produce a large difference in posteriors. http://users.monash.edu/~korb/shadowfax/pubs/fallacy.pdf …pic.twitter.com/jIkAuqt4aY
Above formulation is slightly incorrect, because we actually wanna maximize the change in the posteriors, not their difference. The a large change might actually cause posteriors to become identical from previously being very different.
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