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A Generalized Solution of the Orthogonal Procrustes Problem
Abstract
A solution T of the least-squares problem AT=B + E, given A and B so that trace (E′E)= minimum and T′T= I is presented. It is compared with a less general solution of the same problem which was given by Green [5]. The present solution, in contrast to Green's, is applicable to matrices A and B which are of less than full column rank. Some technical suggestions for the numerical computation of T and an illustrative example are given.
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Citations
Cites
The Development of Hierarchical Factor Solutions
Schmid, J., & Leiman, J. M. (1957) · Psychometrika · doi:10.1007/bf02289209 · Cited by 1,098
Cited by
Four ways five factors are basic
Costa, P. T., & McCrae, R. R. (1992) · Personality and Individual Differences · doi:10.1016/0191-8869(92)90236-i · Cited by 3,386
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
Kanfer, R., & Ackerman, P. L. (1989) · Journal of Applied Psychology · doi:10.1037/0021-9010.74.4.657 · Cited by 1,767
Omoto, A. M., & Snyder, M. (1995) · Journal of Personality and Social Psychology · doi:10.1037/0022-3514.68.4.671 · Cited by 1,105
Affects of variable and subject sampling on factor pattern recovery.
Velicer, W. F., & Fava, J. L. (1998) · Psychological Methods · doi:10.1037/1082-989x.3.2.231 · Cited by 998
Metadata
- Authors
- Schönemann, P. H.
- Venue
- Psychometrika
- Publisher
- Cambridge University Press (CUP)
- Published
- 1966-03
- Volume
- 31
- Issue
- 1
- Pages
- 1-10
- ISSN
- 0033-3123 (ISSN-L)
- 1860-0980
- OpenAlex
- W2057069782
- Cited by
- 2,040
- References
- 1
- FWCI
- 9.03
- Type
- journal article
- Language
- en
- Open access
- closed
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