We present new results on a recently developed method of factor analysis of data with ordinal attributes. The method is based on the apparatus of logic, the theory of relations and ordered sets, and provides an alternative to traditional methods of factor analysis. It utilizes formal concepts as factors and we demonstrate on several examples using sports data that the factors produced by the method are reasonable and easy-to-interpret. In addition, we propose ways to address various natural questions regarding the method and its use and put forward new research issues.
['Radim Belohlavek', 'Marketa Krmelova']
Factor analysis of ordinal data via decomposition of matrices with grades