Analyzer crystal-based computed tomography (ACB-CT) is a novel x-ray phase contrast computed tomography technique. In this paper, in order to extract the refraction angle, we analyzed the effect of misalignment on tomography-sliced images of ACB-CT. Two different methods were considered: the first, proposed by Chapman and Dilmanian, was based on two sets of projective image data taken at both sides of the rocking curve and with a half circle sample rotation and the second, recently proposed by our team, was based on only one set of projective image data taken at one side of the rocking curve but with a full circle sample rotation. Theoretical analysis and experimental results will show that the second method improves the quality of reconstructed CT images, also simplifying the ACB-CT data acquisition procedure.