Commenters "Lord" and Bob Murphy both suggest I look at Ozimek's post on DLR
here. It's very good, although I don't know how much it resolves. It goes over a lot of the time-trend issues we've been over here. Wolfer's identification of bias, for example, is similar to what identified as the case that Bob was talking about, which could be a possibility (although one I doubt).
The flows may help to solve these sorts of questions - there are papers on that from Dube and from Meer and West. I'd have to read them. But I can't see how that definitively resolves anything. There can be no rate-of-change change without a change in the flows so the same ambiguities in the changes or lack of changes in the levels is going to be there in the flows too. The difficult task isn't identifying a trend change (which requires a flow change and results in a level change), the difficulty is identifying the right counterfactual trend.
It ultimately boils down to whether we think the time-trends are appropriate or not and if there's an obvious econometric test for it I'm not sure what it is. Time-tends may be wrong, but Occam's razor seems to suggest we should include them (as in DLR). Spatially heterogeneous time trends seem more reasonable than just the right circumstances that would actually introduce bias by including time trends.
Neumark and Wascher suggest we might want non-linear time trends instead of linear ones. One reasonable way to test this is to do an out of sample specification test using the comparison cases. So use a couple specifications of the time trend for periods -12, -11, -10,..., -2, -1, 0, and then figure out which specification best predicts the trend in 1, 2, 3, 4,...,10, 11, 12. Since these cases don't have any dynamic effects of the minimum wage, it should give you a better sense of the non-linearity of time trends. Now, you have to argue that that specification of the time-trend (linear, non-linear, etc.) is also true in the treatment case. But since we're not using the same slopes or parameters itself that seems defensible.
Really I'd need to read Meer and West and the responses but I feel like many of the same points are made here that I made the other day, namely: (1.) time trends should help to reduce bias in most cases, but (2.) you can imagine specific scenarios where the opposite would be the case.
Entirely unsatisfying, eh?
I still think DLR offers the most sensible default - just at first appearances. That doesn't mean there isn't something else going on, but I think it needs to be demonstrated.
As a general reaction to the poverty reduction question, it sounds reasonable to me but I'm not sure poverty is the right lens to look through. I think a few basic calculations show in the first place that it's going to be more relevant for a broader category of low income families than poor families per se.
$7.25 x 35 hours x 50 weeks for someone that actually takes some time off but maybe doesn't have paid vacation and has a generous amount of hours on the cusp of full and part time (OR two part time jobs) gives you $12,687. That already exceeds the poverty line for a single person, and is just a few thousand short of a family of two. If you add minimum wage workers to the family, family income grows faster than the poverty line.
So this is not a poor person's policy from the beginning and certainly not if we're talking about the people making as high as $9.50. You don't even need to go to the data you just need to do a few thought experiments.
Whether it's well-targeted or not is a different question. A lot of these families are still low-income. We seriously consider expanding SCHIP to them, for example, even if not all benefits. I'm not sure how marginal these households are but as we've seen, one minimum wage earner in a household can account for a difference of up to 100% of the FPL, so losing that second or third person could make the family at 300% suddenly at 200%, or the family that's at 200% suddenly 100%. So it's not like these families are in a position where they're marginal workers - their income really matters even if they're not below the poverty line.
So all the commentary so far - from you [David Henderson], Cowen, etc - seems fine as far as it goes but I think it's still clearly a policy targeted at lower income families.