I've supported a number of different online credit card donation forms for various charitable and other causes, and you see this behavior of card testing whenever you set the minimum allowed donation too low, and adopt too few of the necessary precautions.
I wrote a post on the approach to raising the bar I took - it really doesn't require much to get the credit card testers to go away, and if you don't get rid of them rapidly, you'll be dealing with chargebacks from here until eternity:
http://www.exratione.com/2010/10/three-necessary-defenses-fo...