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DanielLC comments on Too good to be true - Less Wrong
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"Power" is a statistical term of art, and its technical meaning is neither 1 - alpha nor 1 - p.
It's times like this that I wish Doctor Seuss was a mathematician (or statistician in this case). If they were willing to make up new words, we'd be able to talk without accidentally using jargon that has technical meaning we didn't intend.