Do they send out partial refunds?

Is the missing amount the state refund ... the fed & state refunds come from totally different taxing authories at different times. 

I didn’t receive anything for my state. Everything was federal.

First, have you checked the IRS' Where's My Refund website?  It may have information about a correction or an offset.  For more details on why your refund could be less than expected, please see this Help Article.