A new approach for the analysis of the data and the clustering of the subjects in a Check All That Apply (CATA) experiment is outlined. It encompasses indices to assess the agreements among the subjects. These indices are taken into account for the analysis of the CATA data and the segmentation of the subjects. The analysis of the CATA data bears some similarities to the STATIS method and the cluster analysis of the subjects follows the same pattern as a clustering approach, called CLV, for the cluster analysis of variables, and a clustering approach, called CLUSTATIS, for clustering datasets.