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Except it's not random who applies for the lottery. And also charter schools are notorious for rejecting students for various reasons that public schools are not allowed to use, including rejecting special ed students, all in the name of making their test scores look better: http://nepc.colorado.edu/newsletter/2013/05/tcr-dirty-dozen

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> Except it's not random who applies for the lottery.

It's not, but you can randomly choose an equally-sized comparison group from the population who apply and are not selected.

> And also charter schools are notorious for rejecting students for various reasons that public schools are not allowed to use, including rejecting special ed students, all in the name of making their test scores look better: http://nepc.colorado.edu/newsletter/2013/05/tcr-dirty-dozen

Now you are changing the stated starting conditions. The plan is based on admission by lottery. Period. What other, selective private and charter schools do in admissions is irrelevant.

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