In order to know more about some Sigma resonances and distinguish various models of hadron structures, an analysis is performed for the reactions K (-) n -> pi (-) I > and K (-) p -> pi (0) I >, using an effective Lagrangian approach. The differential cross sections and I > polarizations from two experiments are analyzed with the c.m. energy between 1,550 and 1,676 MeV. Our study strongly support the existence of a resonance with mass near 1,633 MeV and width about 120 MeV, which is compatible with the three-star Sigma(1620)1/2(+) in PDG. Meanwhile, no evidence is found for the two-star Sigma(1620)1/2(-) listed in PDG.