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Orthogonal Rotation to Congruence
Abstract
Two problems are considered. The first is that of rotating two factor solutions orthogonally to a position where corresponding factors are as similar as possible. A least-squares solution for transformations of the two factor matrices is developed. The second problem is that of rotating a factor matrix orthogonally to a specified target matrix. The solution to the second problem is related to the first. Applications are discussed.
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Citations
Cited by
Marsh, H. W., & Hocevar, D. (1985) · Psychological Bulletin · doi:10.1037//0033-2909.97.3.562 · Cited by 3,407
Exploratory Structural Equation Modeling
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Marsh, H. W., Muthén, B., Asparouhov, T., Lüdtke, O., Robitzsch, A., Morin, A. J. S., & Trautwein, U. (2009) · Structural Equation Modeling: A Multidisciplinary Journal · doi:10.1080/10705510903008220 · Cited by 1,093
Krumhansl, C. L., & Kessler, E. J. (1982) · Psychological Review · doi:10.1037//0033-295x.89.4.334 · Cited by 930
A new look at the big five factor structure through exploratory structural equation modeling
Marsh, H. W., Lüdtke, O., Muthén, B., Asparouhov, T., Morin, A. J. S., Trautwein, U., & Nagengast, B. (2010) · Psychological Assessment · doi:10.1037/a0019227 · Cited by 899
Second-order isomorphism of internal representations: Shapes of states
Shepard, R. N., & Chipman, S. (1970) · Cognitive Psychology · doi:10.1016/0010-0285(70)90002-2 · Cited by 656
Between-Groups Comparison of Principal Components
Krzanowski, W. J. (1979) · Journal of the American Statistical Association · doi:10.1080/01621459.1979.10481674 · Cited by 533
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Ten Berge, J. M. F. (1977) · Psychometrika · doi:10.1007/bf02294053 · Cited by 320
Behavioral slowing with age: Causes, organization, and consequences.
Birren, J. E., Woods, A. M., & Williams, M. V. (1980) · Aging in the 1980s: Psychological issues. · doi:10.1037/10050-021 · Cited by 253
Marsh, H. W., Nagengast, B., Morin, A. J. S., Parada, R. H., Craven, R. G., & Hamilton, L. R. (2011) · Journal of Educational Psychology · doi:10.1037/a0024122 · Cited by 232
Factors associated with a good response to lithium in aggressive mentally handicapped subjects
Tyrer, S. P., Walsh, A., Edwards, D. E., Herney, T. P., & Stephens, D. A. (1984) · Progress in Neuro-Psychopharmacology and Biological Psychiatry · doi:10.1016/0278-5846(84)90052-6 · Cited by 78
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Friedman, B. H., & Santucci, A. K. (2003) · Integrative Physiological & Behavioral Science · doi:10.1007/bf02688859 · Cited by 15
Metadata
- Authors
- Cliff, N.
- Venue
- Psychometrika
- Publisher
- Cambridge University Press (CUP)
- Published
- 1966-03
- Volume
- 31
- Issue
- 1
- Pages
- 33-42
- ISSN
- 0033-3123 (ISSN-L)
- 1860-0980
- OpenAlex
- W1969060127
- Cited by
- 382
- References
- 0
- FWCI
- 18.97
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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