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A Note on Invariance in Three-Mode Factor Analysis

Published online by Cambridge University Press:  01 January 2025

Bruce Bloxom
Bruce Bloxom*
Affiliation:
Educational Testing Service
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Abstract

Previous results of the application of Lawley's selection theorem to the common factor analysis model are extended to a revision of Tucker's three-mode principal components model. If the regression of the three-mode manifest variates on variates used to select subpopulations is both linear and homoscedastic, the two factor pattern matrices, the core matrix, and the residual variance-covariance matrix in the three-mode model can all be assumed to be invariant across subpopulations. The implication of this finding for simple structure is discussed.

Type
Original Paper
Information
Psychometrika , Volume 33 , Issue 3 , September 1968 , pp. 347 - 350
Copyright
Copyright © 1968 The Psychometric Society

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References

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