The fragmentation scheme of the doubly charged anthracene molecule (C${}_{14}$H${}_{10}$${}^{2+}$) has been studied via monocharged fluorine impact at 3 keV using the CIDEC method (collision-induced dissociation under energy control). Doubly or singly charged fragments resulting from the loss of neutrals (H, C${}_{2}$H${}_{2}$) or C${}_{x}$H${}_{y}$${}^{+}$ ($x$ $=$ 1--5; $y$ $=$ 1--5) have been measured versus the excitation energy of the parent molecule C${}_{14}$H${}_{10}$${}^{2+}$. The branching ratio of the C${}_{x}$H${}_{y}$${}^{+}$ emission process was found to be 16$%$. For the major neutral evaporation channels via $n$H or $n$C${}_{2}$H${}_{2}$ ($n$ $=$ 1, 2) emission, the measured population distributions have been fitted using a Rice-Ramsperger-Kassel (RRK) statistical dissociation and cascade model. The simulated rate-energy dependences of the two primary competing pathways, i.e., the loss of H or C${}_{2}$H${}_{2}$ from C${}_{14}$H${}_{10}$${}^{2+}$, present a crossing point at 13 eV. This feature is characteristic of two different fragmentation mechanisms: a direct cleavage for the loss of H for energy above the crossing point and a rearrangement process for the loss of C${}_{2}$H${}_{2}$ bellow the crossing point.