This paper deals with a new approach to Procrustes rotations in factorial configurations. The aim is to investigate the agreement between dependence structures, relative to different conditions, with respect to a common set of explanatory variables. In this context, the definition of a common plane of representation is a relevant issue. A solution is proposed by referring to the geometrical features of both principal component analysis onto a reference subspace and Procrustes analysis. A practical example on sensory data regarding judgments on the Tocai friulano Italian wine finally helps in showing the feasibility of the proposed method and how well it suits the addressed problem.
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