If you were not physically present in MA during that one month, you should get a refund of any tax withheld by MA.
If you were present in MA for work, it's easier to figure the MA portion of deductions first, then subtract it from the total deductions to get the non-MA portion.
To calculate the MA portion: Divide your MA-source income (subject to taxation by MA) by the total of all income that would be taxable by MA if you were a full-year resident. Multiply the resulting fraction by your total deductions.
