Joint orthomax rotation of the core and component matrices resulting from three-mode principal components analysis

Journal of Classification

Volumn 15, Issue 2, 1998, Pages 245-263

  Kiers, Henk A L ^a  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

Simple structure rotation; Three way data; Varimax

Indexed keywords

EID: 0032272113     PISSN: 01764268     EISSN: None     Source Type: Journal    
DOI: 10.1007/s003579900033     Document Type: Article

References (21)

1. CARROLL, J.B. (1953), "An Analytic Solution for Approximating Simple Structure in Factor Analysis," Psychometrika, 18, 23-38.
2. CLARKSON, D. B., and JENNRICH, R. I. (1988), "Quartic Rotation Criteria and Algorithms," Psychometrika, 53, 251-259.
3. CRAWFORD, C. B., and FERGUSON, G. A. (1970), "A General Rotation Criterion and Its Use in Orthogonal Rotation," Psychometrika, 35, 321-332.
4. FERGUSON, G. A. (1954), "The Concept of Parsimony in Factor Analysis," Psychometrika, 79, 281-290.
5. HAKSTIAN, A. R. (1976), "Two-matrix Orthogonal Rotation Procedures," Psychometrika, 41, 267-272.
6. HARRIS, C. W., and KAISER, H. F. (1964), "Oblique Factor Analytic Solutions by Orthogonal Transformations," Psychometrika, 29, 347-362.
7. JENNRICH, R. I. (1970), "Orthogonal Rotation Algorithms," Psychometrika, 35, 229-235.
8. KAISER, H. F. (1958), "The Varimax Criterion for Analytic Rotation in Factor Analysis," Psychometrika, 23, 187-200.
9. KIERS, H. A. L. (1992) "TUCKALS Core Rotations and Constrained TUCKALS Modelling," Statistica Applicata, 4, 659-667.
10. KIERS, H. A. L. (1998), "Three-way SIMPLIMAX for Oblique Rotation of the Three-mode Factor Analysis Core to Simple Structure," Computational Statistics and Data Analysis, xx, xxx-xxx.
11. KIERS, H. A. L. (1997), "Three-mode Orthomax Rotation," Psychometrika, 62, 579-598.
12. KIERS, H. A. L., and SMILDE, A. K. (1998), "Constrained Three-mode Factor Analysis as a Tool for Parameter Estimation with Second-order Instrumental Data," Journal of Chemometrics, 12, 125-147.
13. KROONENBERG, P. M. (1983), Three-Mode Principal Component Analysis: Theory and Applications, Leiden: DSWO Press.
14. KROONENBERG, P. M. (1985), "Three-Mode Principal Components Analysis of Semantic Differential Data: The Case of a Triple Personality," Applied Psychological Measurement, 9, 83-94.
15. KROONENBERG, P. M., and DE LEEUW, J. (1980), "Principal Component Analysis of Three-mode Data by Means of Alternating Least Squares Algorithms," Psychometrika, 45, 69-97.
16. MATHWORKS INC. (1992), MATLAB, Natick, MA: Mathworks Inc.
17. NEUHAUS, J. O., and WRIGLEY, C. (1954), "The Quartimax Method: An Analytic Approach to Orthogonal Simple Structure," British Journal of Mathematical and Statistical Psychology, 7, 81-91.
18. OSGOOD, C. E., and LURIA, Z. (1954), "A Blind Analysis of a Case of Multiple Personality," Journal of Abnormal and Social Psychology, 49, 579-591.
19. SAUNDERS, D. R. (1953), "An Analytic Method for Rotation to Orthogonal Simple Structure," Research Bulletin, RB 53-10. Princeton: Educational Testing Service.
20. SNIDER, J. G., and OSGOOD, C. E. (1969), Semantic Differential Technique: A Source Book, Chicago: Aldine.
21. TUCKER, L. R (1966), "Some Mathematical Notes on Three-mode Factor Analysis," Psychometrika, 31, 279-311.