Do tuition tax credit scholarships take money from public schools?

I've heard it said that tax credit scholarships are taking much-needed money away from public schools. Is this program draining public funds?

Arete's fiscally responsible approach to tax credit scholarships guarantees savings to taxpayers by awarding amounts that are substantially less than the per student expense in public schools. The maximum Arete scholarship of $5,800 ensures an overall savings of almost $3,000 per student, based on 2010-11 budget numbers. These savings can remain invested in public schools or other public services as desired.

In Florida, a state with over a decade of experience with responsible implementation of tuition tax credit scholarships, numerous independent studies show significant taxpayer savings associated with the program. By closely following the same successful model, Arete expects research to demonstrate a similar level of overall savings.