The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Fitting One Matrix to Another Under Choice of a Central Dilation and a Rigid Motion
Abstract
A least squares method is presented for fitting a given matrix A to another given matrix B under choice of an unknown rotation, an unknown translation, and an unknown central dilation. The procedure may be useful to investigators who wish to compare results obtained with nonmetric scaling techniques across samples or who wish to compare such results with those obtained by conventional factor analytic techniques on the same sample.
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Citations
Cites
Guttman, L. (1968) · Psychometrika · doi:10.1007/bf02290164 · Cited by 1,343
Research works printed but not linked: 14
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- Schönemann, 1965, On the formal matrix differentiation of traces and determinants
- Carroll, R. M. A Monte Carlo comparison of nonmetric multidimensional scaling and factor analysis. Doctoral dissertation, The Ohio State University, 1969.
- 10.1007/BF02288937 · doi:10.1007/bf02288937
- 10.1111/j.1744-6570.1962.tb01860.x · DOI
- 10.1207/s15327906mbr0204_6 · DOI
- 10.1007/BF02289451 · DOI · Paper page
- 10.1111/j.2044-8317.1966.tb00367.x · doi:10.1111/j.2044-8317.1966.tb00367.x
- 10.1007/BF02289455 · DOI · Paper page
- Anderson, 1958, An introduction to multivariate statistical analysis
- 10.1007/BF02288367 · DOI · Paper page
- 10.1007/BF02289694 · DOI · Paper page
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Cited by
Generalized procrustes analysis
Gower, J. C. (1975) · Psychometrika · doi:10.1007/bf02291478 · Cited by 3,267
Closed-form solution of absolute orientation using orthonormal matrices
Horn, B. K. P., Hilden, H. M., & Negahdaripour, S. (1988) · Journal of the Optical Society of America A · doi:10.1364/josaa.5.001127 · Cited by 1,151
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
Applying Metric and Nonmetric Multidimensional Scaling to Ecological Studies: Some New Results
Kenkel, N. C., & Orloci, L. (1986) · Ecology · doi:10.2307/1939814 · Cited by 668
Schematic Assessments of Presidential Candidates
Miller, A. H., Wattenberg, M. P., & Malanchuk, O. (1986) · American Political Science Review · doi:10.2307/1958272 · Cited by 667
Metadata
- Authors
- Schönemann, P. H., & Carroll, R. M.
- Venue
- Psychometrika
- Publisher
- Cambridge University Press (CUP)
- Published
- 1970-06
- Volume
- 35
- Issue
- 2
- Pages
- 245-255
- ISSN
- 0033-3123 (ISSN-L)
- 1860-0980
- OpenAlex
- W2079255216
- Cited by
- 402
- References
- 1
- FWCI
- 4.83
- Type
- journal article
- Language
- en
- Open access
- closed
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- Schönemann, P. H., & Carroll, R. M. (1970). Fitting One Matrix to Another Under Choice of a Central Dilation and a Rigid Motion. Psychometrika. https://doi.org/10.1007/bf02291266
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
