The NYT had an article on efforts to raise the minimum wage in New York state. At one point the piece gives the views of

Russell Sykes, a senior fellow at the Empire Center for Public Policy, who is identified as an opponent of a higher minimum wage. According to the article, Sykes argued that:

“raising the minimum wage would not be helpful to most poor families. The earned-income tax credit was more beneficial to them, he said, and an increase in the minimum wage could make some families ineligible for the credit.”

If a higher minimum wage makes a low-income family ineligible for the earned income tax credit (EITC) it is due to the fact that it has raised their income above the level where they qualify for the EITC. It seems a bit strange to argue that low-income family is hurt by raising their income. (The EITC peaks at 45 percent, which means that in a worse case scenario a minimum wage worker would lose 45 cents from the EITC for every dollar increase in their wage income. Few workers would see this much of a loss.)

Read article here