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The Orthogonal Approximation of an Oblique Structure in Factor Analysis
Abstract
A procedure is derived for obtaining an orthogonal transformation which most nearly transforms one given matrix into another given matrix, according to some least-squares criterion of fit. From this procedure, three analytic methods are derived for obtaining an orthogonal factor matrix which closely approximates a given oblique factor matrix. The case is considered of approximating a specified subset of oblique vectors by orthogonal vectors.
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Citations
Cited by
Hill, D. L. G., Batchelor, P. G., Holden, M., & Hawkes, D. J. (2001) · Physics in Medicine and Biology · doi:10.1088/0031-9155/46/3/201 · Cited by 2,093
A Generalized Solution of the Orthogonal Procrustes Problem
Schönemann, P. H. (1966) · Psychometrika · doi:10.1007/bf02289451 · Cited by 2,040
Predicting error in rigid-body point-based registration
Fitzpatrick, J. M., West, J. B., & Maurer, C. R. (1998) · IEEE Transactions on Medical Imaging · doi:10.1109/42.736021 · Cited by 1,010
On the Early History of the Singular Value Decomposition
Stewart, G. W. (1993) · SIAM Review · doi:10.1137/1035134 · Cited by 985
Designing structured tight frames via an alternating projection method
Tropp, J. A., Dhillon, I. S., Heath, R. W., & Strohmer, T. (2005) · IEEE Transactions on Information Theory · doi:10.1109/tit.2004.839492 · Cited by 494
Metadata
- Authors
- Green, B. F.
- Venue
- Psychometrika
- Publisher
- Cambridge University Press (CUP)
- Published
- 1952-12
- Volume
- 17
- Issue
- 4
- Pages
- 429-440
- ISSN
- 0033-3123 (ISSN-L)
- 1860-0980
- OpenAlex
- W4256234326
- Cited by
- 234
- References
- 0
- FWCI
- 1.94
- Type
- journal article
- Language
- en
- Open access
- closed
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- Green, B. F. (1952). The Orthogonal Approximation of an Oblique Structure in Factor Analysis. Psychometrika. https://doi.org/10.1007/bf02288918
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