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  • 标题:CoDa in three-way arrays and relative sample spaces
  • 其他标题:CoDa in three-way arrays and relative sample spaces
  • 作者:Gallo, Michele
  • 期刊名称:Electronic Journal of Applied Statistical Analysis
  • 电子版ISSN:2070-5948
  • 出版年度:2012
  • 卷号:5
  • 期号:3
  • 页码:400-405
  • DOI:10.1285/i20705948v5n3p400
  • 语种:English
  • 出版社:University of Salento
  • 摘要: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.
  • 关键词:Simplex space; pertubation operation; powering; compositional data; three-mode analysis
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