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OK. So the thing I meant about false positives/false negatives is that it's more risky to have false negatives as they obviously will be wandering around shedding virus everywhere. That was my point on that.
Cool, I figured the good thing about essentially batch testing people is that false negatives wouldn't be as bad either as I'd assume that if someone had managed to already infect a couple of classmates then the likelihood of false negatives is negated a bit by testing more possibly infected people.
https://www.bmj.com/content/372/bmj.n706