CATTELL'S parallel proportional profiles: The triumph of a prodigal rotation. (22nd May 2020)

• Record Type: Journal Article
• Authors: Kroonenberg, Pieter M.; Harshman, Richard A.
• Other Names: Tauler Roma guestEditor.; Ruckebusch Cyril guestEditor.; Smilde Age guestEditor.
• Is Part Of: Journal of chemometrics. Volume 35:Number 2(2021)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2020-05-22
• Subjects: factor rotation -- invariant factors model -- PARAFAC/CANDECOMP -- parallel proportional profiles -- structural equation models; Chemistry -- Mathematics -- Periodicals; Chemistry -- Statistical methods -- Periodicals; 542.85
• DOI: 10.1002/cem.3235
• Languages: English
• ISSNs: 0886-9383

Abstract

Abstract: In a primarily informal and conceptual way we trace the history of Cattell's parallel proportional profiles principle for factor rotation, also known as confactor rotation. Its original idea in connection with standard and confirmatory factor analysis of sets of covariance matrices from random samples is discussed as is its use in the non‐stochastic framework of three‐mode analysis. It will be shown that unfortunately the principle as an alternative for simple structure rotation has not led to a wide‐spread use in the social and behavioral sciences, but that it has celebrated triumphs in sciences like chemistry, signal processing, and other physical sciences mostly under the flag of the PARAFAC/CANDECOMP model, tensor decomposition, or canonical polyadic decomposition.