I think small to negative should agree with the basic principle though. I mean, raising the wages of a few will have a small to negative effect when the marginal increase is so small. The change nationally is going to be super small. Regionally the effects have been negative. Its totally believable in my view to think that the ability to capture what is going on is likely to get washed out in the noise.
Yes, but plenty of studies have found NO effect, which directly refutes that principle. And remember, these analyses only look at people making minimum wage, so they are not looking at the 'wages of a few', they are looking at the entire population.
As for turnover, I think it can be a negative, but it can also be a positive. Any company that pays its workers to keep them is simply paying more to keep its skilled workers which is expected. It could also be true that raising the minimum wage could cause people who were making less to shift to a position that is easier because their utility is less than anything above. If I were making 15 or below, and the minimum went to 15, and I knew I could not find anything at 16 then I would have a huge incentive to find a position that is easier that pays the same.
I think the my main point is that he was not wrong. Had he made a claim about it being a large loss then maybe, but his original point that raising the minimum wage decreases jobs holds true. Unless the argument is that it might not cost jobs, but reduce hours ect.
I'm sorry but the research doesn't support your conclusion as we've already discussed.