Stetson (6-14, 4-4 Atlantic Sun) jumped out to a 7-1 lead, used a 9-0 run to push its lead to double-digits with 12:26 left in the first half, took a 36-26 advantage into the break and never trailed.
Kennesaw State, however, scored the first eight points of the second half and Orlando Coleman's dunk with 1:06 to play pulled the Owls (4-17, 1-5) within one, 64-63.
Andrews was perfect from the stripe down the stretch and Myles Hamilton missed a potentially game-tying 3-pointer with 4 seconds left for Kennesaw State.
Brian Pegg and Kentwan Smith scored 13 apiece for the Hatters. Andrews added 10.
Delbert Love and Orlando Coleman led KSU with 13 points each.
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