Based on the extended Ginzburg-Landau model, it is shown that the depe
ndences of the scaled factorial moments In F-q on phase space interval
s are different for first- and second-order QGP phase transitions. Whe
n In F-q are fitted to polynomials of X = delta(1/3), the relative sig
n between the fitted coefficients can be used to judge the order of ph
ase transitions.