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D_Malik comments on Open thread, Nov. 16 - Nov. 22, 2015 - Less Wrong Discussion
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http://mindhacks.com/2015/11/16/no-more-type-iii-error-confusion/#comments
Use "The Boy Who Cried Wolf" as a mnemonic. His first error is type 1 (claiming a wolf as present when there wasn't one). His second error is type 2 (people don't notice an existing wolf).
Introspecting, the way I remember this is that 1 is a simple number, and type 1 errors are errors that you make by being stupid in a simple way, namely by being gullible. 2 is a more sophisticated number, and type 2 errors are ones you make by being too skeptical, which is a more sophisticated type of stupidity. I do most simple memorization (e.g. memorizing differentiation rules) with this strategy of "rationalizing why the answer makes sense". I think your method is probably better for most people, though.