Anisotropic Orthogonal Procrustes Analysis
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DOI: 10.1007/s00357-010-9046-8
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- Peter Schönemann & Robert Carroll, 1970. "Fitting one matrix to another under choice of a central dilation and a rigid motion," Psychometrika, Springer;The Psychometric Society, vol. 35(2), pages 245-255, June.
- Byron J. T. Morgan, 1989. "Introduction to Optimization," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 152(2), pages 254-255, March.
- Mohammed Dosse & Jos Berge, 2008. "The Assumption of Proportional Components when Candecomp is Applied to Symmetric Matrices in the Context of Indscal," Psychometrika, Springer;The Psychometric Society, vol. 73(2), pages 303-307, June.
- Martin Koschat & Deborah Swayne, 1991. "A weighted procrustes criterion," Psychometrika, Springer;The Psychometric Society, vol. 56(2), pages 229-239, June.
- C. A. Glasbey & K. V. Mardia, 1998. "A review of image-warping methods," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(2), pages 155-171.
- Bert Green, 1952. "The orthogonal approximation of an oblique structure in factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 17(4), pages 429-440, December.
- Henk Kiers, 1995. "Maximization of sums of quotients of quadratic forms and some generalizations," Psychometrika, Springer;The Psychometric Society, vol. 60(2), pages 221-245, June.
- Oberhofer, W & Kmenta, J, 1974. "A General Procedure for Obtaining Maximum Likelihood Estimates in Generalized Regression Models," Econometrica, Econometric Society, vol. 42(3), pages 579-590, May.
- Jos Berge, 1977. "Orthogonal procrustes rotation for two or more matrices," Psychometrika, Springer;The Psychometric Society, vol. 42(2), pages 267-276, June.
- Henk Kiers & Jos Berge, 1992. "Minimization of a class of matrix trace functions by means of refined majorization," Psychometrika, Springer;The Psychometric Society, vol. 57(3), pages 371-382, September.
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- Bennani Dosse, Mohammed & Kiers, Henk A.L. & Ten Berge, Jos M.F., 2011. "Anisotropic generalized Procrustes analysis," Computational Statistics & Data Analysis, Elsevier, vol. 55(5), pages 1961-1968, May.
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Keywords
Procrustes analysis; Pre-scaling approach; Post-scaling approach; Majorization algorithms;All these keywords.
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