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Oct 31, 2013 at 18:35 comment added Fomite @Taal Given I've encountered variables that are about as independent as they come (seriously, once found a relative risk of 1.00 with a 95% confidence interval from 0.99 to 1.01), I'm going to have to suggest "Citation Needed". And if the poster, and you, aren't relying on variables that are only dependent in obvious ways, I'd suggest finding concrete examples of that, rather than simply asserting they exist.
Oct 31, 2013 at 9:21 comment added Taal TRUE "independent" variables simply do not exist - really think about that. We simply assume and throw the label onto them that they are "independent" to be able to use methods that have been created in statistics in a practical manner.
Oct 31, 2013 at 9:19 comment added Taal @EpiGrad The conjecture is that this is a weak tendency for a probability to be higher (and the degree of "higher" may even be quite small...but still exist in nature. (I'm realizing I really should probably update the question a bit now). I believe the poster here understood this and assumed, like I did, that people wouldn't interpret the examples in the fashion that this is true when the variables are ONLY "dependent" on each other in such an obvious way. Basically, one must agree that everything in the universe is dependently related to everything else - and this really is true.
Oct 30, 2013 at 18:17 comment added Fomite The "sales growth" example is somewhat flawed - many extremely high sales growth companies are unprofitable (see: Amazon). But more importantly, all of your examples are dependent on each other. Then what you're describing isn't a property of "outlier-ness" but on the value itself. Saying a tall person is likely to have high values for characteristics associated with height is just correlation.
Oct 23, 2013 at 22:44 comment added Taal Yes, another good representation of what I'm trying to communicate - and yes also looking for a theorum that speaks about this as my ultimate question (I need to edit the original actually). As another example, I was thinking about the personalities/etc. of girls that "dye their hair blue." This is not a very usual thing to do where I live, so I'm thinking it would be safe to assume there is a higher probability (in comparison to girls that didn't have an outlier as such...and yes I'm controlling the experiment here a bit) that this girl will also have other "outlier-ish" characteristics.
Oct 23, 2013 at 19:56 history answered Gino CC BY-SA 3.0