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Creutzer comments on Open Thread for February 11 - 17 - Less Wrong Discussion
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The paper doesn't even find a statistically significant difference. The point estimate is that advanced L2 do worse than natives, but natives make almost as many mistakes.
They did found differences with the advances L2 speakers, but I guess we care about the highly advanced ones. They point out a difference at the bottom of page 18, though admittedly, it doesn't seem to be that much of a big deal and I don't know enough about statistics to tell whether it's very meaningful.