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Thanks for the long response, but it does not look as if you are measuring outcomes for public school students that do not lose on funding versus left-behind public school students as compared to public school students and private school students matched for family income.First, I was talking public vs. private, not charter specific.
I'll try to explain but I don't necessarily want to write tons of paragraphs either. When measuring the difference between public and private schools most of the measurements boil to down to performance on standardized tests, acceptance into college and earnings some period of time after the fact.
When they compare the students, they compare like to like. So, white kid with 2 college educated parents with a household income of $100k only compares to similarly situated kids. White kid with a single mom with a high school education and a household income of $18k only compares to similarly situated kids. In your generic private vs. public conversation, those kids will perform the same on standardized tests, quality of college and earnings, regardless of whether they went to their local public school or a private school.
But that's because of a host of factors, the single parent white kid has the same external pressures on his academic progress whether he's in private or public school. He has the same economic limitations from his single parent household whether he's in private or public. He also has the same intelligence and the same drive. So his standardized test scores will reflect his ability to learn the material plus his restrictions from maybe not getting tutoring or not eating as often or needing to get a 2nd job to help out. Most private schools don't offset those circumstances (again there are 2 exceptions) and so the students outcomes remain unchanged.
Now, that's different from the charter vs. public school situation and left behind students. Left-behind students are harmed economically by the existence of charters because the charters take money out of the public school and reallocate it to the charter. This makes it harder for the public school to meet it's baseline criteria for providing a basic education to its charges. If the money from the public schools to the charters gets too large, the public school would be unable to financially meet its purpose while the charters can. This would mean that the kids who don't get picked for charters via lottery lose education opportunities so that the kids are charters can receive them.
They're 2 different issues. Public vs. private in terms of educational outcomes. Public vs. charter in terms of student financing for education. Private schools don't impact public school education opportunities, charters do.
Also if left-behind students really are disadvantaged then doesn't this become an advantage to those not left behind? For example, the family income matched student will make $100,000 whether he attends public school or private school. However, the left behind student will make only $20,000, while he would have made $40,000 if not left behind. Isn't that still an advantage in the sense that $100G is even more than $20G than it is more than $40G.