We theoretically investigate the effects of electronic correlations(including spin and Coulomb correlations) on the magnetotransport through a parallel double quantum dot(DQD) coupled to ferromagnetic leads. Two dots couple coherently through electron correlations, rather than tunneling directly between two dots, and each dot is coupled to two semi-infinite ferromagnetic leads. We assume that the intradot Coulomb repulsion is much larger than the interdot Coulomb repulsion U. Thus, only the zero, one and tw...