, Volume 31, Issue 3, pp 279–311 | Cite as

Some mathematical notes on three-mode factor analysis

  • Ledyard R Tucker


The model for three-mode factor analysis is discussed in terms of newer applications of mathematical processes including a type of matrix process termed the Kronecker product and the definition of combination variables. Three methods of analysis to a type of extension of principal components analysis are discussed. Methods II and III are applicable to analysis of data collected for a large sample of individuals. An extension of the model is described in which allowance is made for unique variance for each combination variable when the data are collected for a large sample of individuals.


Principal Component Analysis Public Policy Statistical Theory Mathematical Note Unique Variance 


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Copyright information

© Psychometric Society 1966

Authors and Affiliations

  • Ledyard R Tucker
    • 1
  1. 1.University of IllinoisUSA

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