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To provide a contrary hypothetical...

Imagine if one group had 55% of its dice labeled up to 110 and 45% up to 100, and the other group had the opposite. So if all you use for hiring is the group membership, you're going to very arbitrarily miss out on a lot of 110s and hire a lot of 100s. And now also imagine that this process of identifying who is in what group is ridiculously expensive.

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It's not contrary at all. It's the same point. The changing mix is merely a difference of degree. The key argument you raise is that discrimination has a cost. I don't have the numbers offhand to determine whether the cost of monitoring exceeds the benefit of higher quality education. Regardless, that's a different argument that should be backed by a different set of data.

It's contrary in that a naive interpretation leads to the opposite conclusion. That's all I meant. And I'm not sure how you define what is a different argument and what isn't. It's all about the value of these scores.

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