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Orthogonal procrustes rotation for two or more matrices

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  • Jos Berge

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  • Jos Berge, 1977. "Orthogonal procrustes rotation for two or more matrices," Psychometrika, Springer;The Psychometric Society, vol. 42(2), pages 267-276, June.
    • Handle: RePEc:spr:psycho:v:42:y:1977:i:2:p:267-276
    DOI: 10.1007/BF02294053
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    References listed on IDEAS

    as
    1. J. Gower, 1975. "Generalized procrustes analysis," Psychometrika, Springer;The Psychometric Society, vol. 40(1), pages 33-51, March.
    2. Carl Eckart & Gale Young, 1936. "The approximation of one matrix by another of lower rank," Psychometrika, Springer;The Psychometric Society, vol. 1(3), pages 211-218, September.
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    Citations

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    Cited by:

    1. Mohammed Bennani Dosse & Jos Berge, 2010. "Anisotropic Orthogonal Procrustes Analysis," Journal of Classification, Springer;The Classification Society, vol. 27(1), pages 111-128, March.
    2. Meyners, Michael, 2002. "Methods to analyse sensory profiling data - a comparison," Technical Reports 2002,58, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    3. Kensuke Okada & Shin-ichi Mayekawa, 2018. "Post-processing of Markov chain Monte Carlo output in Bayesian latent variable models with application to multidimensional scaling," Computational Statistics, Springer, vol. 33(3), pages 1457-1473, September.
    4. Joost Ginkel & Pieter Kroonenberg, 2014. "Using Generalized Procrustes Analysis for Multiple Imputation in Principal Component Analysis," Journal of Classification, Springer;The Classification Society, vol. 31(2), pages 242-269, July.
    5. Renate S M Buisman & Katharina Pittner & Marieke S Tollenaar & Jolanda Lindenberg & Lisa J M van den Berg & Laura H C G Compier-de Block & Joost R van Ginkel & Lenneke R A Alink & Marian J Bakermans-K, 2020. "Intergenerational transmission of child maltreatment using a multi-informant multi-generation family design," PLOS ONE, Public Library of Science, vol. 15(3), pages 1-23, March.
    6. Meyners, Michael & Qannari, El Mostafa, 2001. "Relating principal component analysis on merged data sets to a regression approach," Technical Reports 2001,47, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    7. Rik Pieters & Hans Baumgartner, 2002. "Who Talks to Whom? Intra- and Interdisciplinary Communication of Economics Journals," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 483-509, June.
    8. Bijmolt, T.H.A. & Wedel, M., 1996. "A Monte Carlo Evaluation of Maximum Likelihood Multidimensional Scaling Methods," Other publications TiSEM f72cc9d8-f370-43aa-a224-4, Tilburg University, School of Economics and Management.
    9. Kohei Adachi, 2013. "Generalized joint Procrustes analysis," Computational Statistics, Springer, vol. 28(6), pages 2449-2464, December.
    10. Bijmolt, T.H.A. & Wedel, M., 1996. "A Monte Carlo Evaluation of Maximum Likelihood Multidimensional Scaling Methods," Research Memorandum 725, Tilburg University, School of Economics and Management.
    11. James Lingoes & Ingwer Borg, 1978. "A direct approach to individual differences scaling using increasingly complex transformations," Psychometrika, Springer;The Psychometric Society, vol. 43(4), pages 491-519, December.
    12. Justin L. Kern, 2017. "On the Correspondence Between Procrustes Analysis and Bidimensional Regression," Journal of Classification, Springer;The Classification Society, vol. 34(1), pages 35-48, April.
    13. 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.
    14. Jos Berge & Dirk Knol, 1984. "Orthogonal rotations to maximal agreement for two or more matrices of different column orders," Psychometrika, Springer;The Psychometric Society, vol. 49(1), pages 49-55, March.
    15. Dahl, Tobias & Naes, Tormod, 2006. "A bridge between Tucker-1 and Carroll's generalized canonical analysis," Computational Statistics & Data Analysis, Elsevier, vol. 50(11), pages 3086-3098, July.
    16. Meyners, M. & Kunert, Joachim & Qannari, El Mostafa, 1998. "Comparing Generalized Procrustes Analysis and STATIS," Technical Reports 1998,35, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    17. Tom Frans Wilderjans & Eva Gaer & Henk A. L. Kiers & Iven Mechelen & Eva Ceulemans, 2017. "Principal Covariates Clusterwise Regression (PCCR): Accounting for Multicollinearity and Population Heterogeneity in Hierarchically Organized Data," Psychometrika, Springer;The Psychometric Society, vol. 82(1), pages 86-111, March.
    18. Angela Andreella & Riccardo Santis & Anna Vesely & Livio Finos, 2023. "Procrustes-based distances for exploring between-matrices similarity," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 32(3), pages 867-882, September.

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    Keywords

    factor matching; least-squares rotation;

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