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Oct 19, 2022 at 18:05 history wiki removed kjetil b halvorsen
Jun 16, 2018 at 3:03 comment added gary Still, if you transformed your data with (x-\mu)/sigma, you can always allow for negative values without destroying normality, can't you?
Dec 19, 2017 at 21:09 comment added Atirag @dsimcha "the model is wrong". Aren't ALL models "wrong" though?
Aug 1, 2013 at 11:45 comment added Frank Harrell @dsimcha, the $t$-test and ANOVA are not robust to non-normality. See papers by Rand Wilcox.
May 4, 2012 at 21:34 comment added rolando2 @dsimcha - I find that a really insightful, useful response.
Sep 22, 2010 at 19:39 comment added dsimcha @nico: Sure it can be negative, but there's some finite limit to it because there are only so many protons and electrons in the Universe. Of course this is irrelevant in practice, but that's my point. Nothing is exactly normally distributed (the model is wrong), but there are lots of things that are close enough (the model is useful). Basically, you already knew the model was wrong, and rejecting or not rejecting the null gives essentially no information about whether it's nonetheless useful.
Sep 19, 2010 at 13:03 comment added nico Electrical potential difference is an example of a real-world quantity that can be negative.
Sep 18, 2010 at 2:32 history answered dsimcha CC BY-SA 2.5