%0 Journal Article %T CoDa in three-way arrays and relative sample spaces %A Michele Gallo %J - %D 2012 %R DOI Code: 10.1285/i20705948v5n3p400 %X The object of these short notes is to give a set of convenient symbols to define the sample space for the different compositional vectors that can be arranged into a three-way array. For the exploratory analysis of three-way data, Parafac/Candecomp and Tucker3 are some of the most applied models for low-rank decomposition of three-way arrays. Here, in addition to the relative geometry, is presented a concise overview as to how the elements of a three-way array can be transformed into compositional form and the relative geometry is given %K Simplex space %K pertubation operation %K powering %K compositional data %K three-mode analysis %U http://siba-ese.unisalento.it/index.php/ejasa/article/view/12261