George, I'm all in favor of statistics properly applied. But in this case, as in many cases of economics, there are just too many variables, and the cause-effect relationships are often undistinguishable looking at them from either end.
You're probably aware of the new trend in economics, which is to recognize that Economic Man is not a rational man -- or woman. I don't know how wide your considerable intellectual interests run, but maybe you know about the primary complaint the Romanticists had about the Enlightenment philosophers: that they assumed 'way too much rationality in human behavior. The current state of economics, which is a product of Enlightenment thinking and a come-lately to recognizing the primacy of irrational behavior among the social sciences, is their vindication. Deep down, most of us have known this from our everyday experience since we were old enough to think for ourselves.
The same is true of the minimum wage, within limits. Its effect is mostly emotional. People feel better, or worse, based on what they think about the way the lowest rung is paid in our society. That may be its primary economic effect, to the degree that our economy responds to how well or badly people feel about things. Except in a few, marginal businesses, minimum wages have little influence on how profitable a company is or on how the quality of life changes for the recipients of the wage increases. There is evidence going both ways on the gross economic effects, starting with Henry Ford doubling the pay of his workers and getting wealthier all the while.
It does make some people happier and some a bit angrier, 90% of the time for emotional reasons rather than real ones. That's about it.
As for the other 10%, consider them collateral damage. d8-)
-- Ed Huntress