If you owe 2015 Federal taxes does the IRS take your state refund for 2015 to pay what you owe?
Answers | 1
Note that if you got a refund from your state, and you *itemized* your deductions (including state income taxes you paid) -- that state refund may actually be *taxable* on your federal income taxes!
(Because you took a deduction for those taxes you overpaid, and when you get them back, you have to effectively undo that deduction)
If you didn't itemize, you probably won't owe federal income taxes on the value of the state tax refund.
If you have any questions, I strongly recommend consulting with a professional. This stuff can get messy, though the software nowadays usually does a pretty great job about asking about those issues I noted above.