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Douglas_Knight comments on Should correlation coefficients be expressed as angles? - Less Wrong Discussion

43 Post author: Sniffnoy 28 November 2012 12:05AM

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Comment author: Douglas_Knight 28 November 2012 11:31:32PM 0 points [-]

Yes, I was wondering what you meant by the correlation of a string. Also, the definition doesn't apply to binary variables unless you somehow interpret bits as numbers, but as you say, it doesn't matter how you do so. There's a reason I asked what definition you were using, not the original post.

This sort of confusion appears to be standard.

Which confusion? The confusion between a random variable and sequence of iid draws from it? And what do you mean by standard?

Comment author: Kindly 28 November 2012 11:55:20PM *  0 points [-]

By "this sort of confusion" I meant the ambiguity between the correlation of two bit strings and the correlations between the individual bits. By "standard" I mean that I didn't make this up; I've seen other people do this.

Anyway, perhaps it's better to focus on the more general (and less notation-abusing) example I gave.