taw comments on Practical rationality in surveys - Less Wrong

-2 Post author: taw 08 November 2009 02:27PM

You are viewing a comment permalink. View the original post to see all comments and the full post content.

Comments (11)

You are viewing a single comment's thread. Show more comments above.

Comment author: Eliezer_Yudkowsky 08 November 2009 09:46:01PM *  7 points [-]

"Statistically significant results" mean that there's a 5% chance that results are wrong

Wrong. It means that the researcher defined a class of results such that the class had less than a 5% chance of occurring if the null hypothesis were true, and that the actual outcome fell into this class.

There are all sorts of things that can go wrong with that, but, even leaving all those aside, it doesn't mean there's a 5% chance the results are wrong. Suppose you're investigating psychic powers, and that the journals have (as is usually the case!) a heavy publication bias toward positive results. Then the journal will be full of statistically significant results and they will all be wrong.

Comment author: taw 10 November 2009 08:44:28AM 0 points [-]

I'm confused by your remark. "5% chance of false positive" obviously means P(positive results|null hypothesis true)=5%, P(null hypothesis true|positive results) is subjective and has no particular meaningful value, so I couldn't have talked about that.