lignisse feed - LessWrong 2.0 Readerlignisseâ€™s posts and comments on the Effective Altruism Forumen-usComment by Lignisse on The Univariate Fallacy
https://lw2.issarice.com/posts/cu7YY7WdgJBs3DpmJ/the-univariate-fallacy-1#GMMhkc3DXjZcdTvuT
<p>I agree with your other two points (mostly - I don't feel that the distinction between discrete and continuous variables is important for Zack's argument so it seems fine to gloss over it) but I disagree with the first. </p><p>In order to be able to simply multiply likelihood ratios, the sufficient fact is that they're statistically independent. In this toy model, they also happen to be identically distributed, but I think it's clear from context that Zack would like to apply his argument to a variety of situations where the different dimensions have different distributions. You're suggesting replacing "X, therefore Z" with "X and Y, therefore Z", when in fact X->Z, and it is not the case that Y->Z.</p>lignisseGMMhkc3DXjZcdTvuT2019-06-18T18:47:31.351Z