The scaled factorial moments in QGP phase transitions are studied analytically by the extended Ginzburg-Landau model. The dependence of lnF(q) on phase space interval is different for the first-and second-order QGP phase transitions. When lnF(q) are fitted to polynomials of X drop delta(1/3), the relative sign between the fitted coefficients of X and b(q,1) calculated theoretically can be used to judge the order of phase transitions. Two sets of experimental data are reanalysed and the phase transitions are the first ...