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It would be really cool if someone did do some randomized research on this. Now I'm really curious. Given the STEM obsession at present, maybe it's been done.

Given that several towns (e.g. Montclair, NJ) have willfully ruined their 'magnet' schools by making entrance to them only possible via lottery i.e. have already randomised the sample, this type of research ought to be possible.

Become what you are