# Some mathematical notes on three-mode factor analysis

## Authors

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DOI: 10.1007/BF02289464

- Cite this article as:
- Tucker, L.R. Psychometrika (1966) 31: 279. doi:10.1007/BF02289464

## Abstract

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.