In this paper, we propose a new formulation of canonical correlation analysis, which is equivalent to the existing one. Under the new formulation, two canonical structure matrices have freedom of orthogonal rotation. We thus propose an orthogonal rotation method for rotating two structure matrices individually to simple structures. This method is different from the one derived from the existing formulation which only allows the simultaneous rotation of two structure matrices. It is illustrated that our proposed method facilitates the interpretation of solutions of canonical correlation analysis in a real data example.
In recent years, in addition to basic scholastic abilities and technical knowledge, it is thought that basic abilities required to function as a member of society are important to use them in society, then basic abilities required to function as a member of society have been trained in many educational institutions. Moreover, communicative abilities are regarded as important for social working. In this study, we measure abilities evaluated by short group work and related to communicative abilities in basic abilities required to function as a member of society, and we analyze the relations between the elements by graphical modeling for improving abilities. Based on the hypothesis that measurements by self-evaluations are higher than them by others evaluations, we measured abilities by self-evaluations and others evaluations. However, measurements by self-evaluation were not only higher than them by others evaluations, but also the models of the relations between elements were different. Therefore, we compared the models by TTA evaluations, student self-evaluations and student others evaluations, and examine what kinds of improvement are effective.