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Very interesting! Seems like I don't understand probability as well as I think I do, since I bought the argument till I ran into this comment.

So, what are the effects of variance in different evaluation contexts, and do we have a meaningful way to measure bias if we take variance into account?

My initial reactions:

- It seems the higher the variance, the better examples you can trot out to say you are not biased against that particular group. since youll always find a member of that group who does amazing.

- If distributions of performance are multimodal, its even harder to conclude stuff because different institutions might cut off different modes when selecting the bar.

- Modeling the sources of variance may lead to insight into any actual bias.



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