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Apprentice comments on AALWA: Ask any LessWronger anything - Less Wrong
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You're right, it's a horrible term. For one thing, the methods involved are pretty well-established by now. I just use it by habit. As for that old Marlowe/Shakespeare hubbub, here's a recent study which finds their style similar but definitely not identical.
Does anyone use a better term? "Statistical author attribution" seems like an obvious term, but google tells me that no one has ever used it.
Have you read the study you link? People who have read it tell me that the conclusions drawn do not match the body of the paper.
I skimmed it and nothing seemed obviously wrong. If you're interested, you could try for yourself. If you download Marlowe's corpus, Shakespeare's corpus and stylo you can get a feel for how this works in a couple of hours.