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Fitting one matrix to another under choice of a central dilation and a rigid motion

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  • Peter Schönemann
  • Robert Carroll

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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.
    • Handle: RePEc:spr:psycho:v:35:y:1970:i:2:p:245-255
    DOI: 10.1007/BF02291266
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    References listed on IDEAS

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    1. Louis Guttman, 1968. "A general nonmetric technique for finding the smallest coordinate space for a configuration of points," Psychometrika, Springer;The Psychometric Society, vol. 33(4), pages 469-506, December.
    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.
    3. J. Kruskal, 1964. "Nonmetric multidimensional scaling: A numerical method," Psychometrika, Springer;The Psychometric Society, vol. 29(2), pages 115-129, June.
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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. 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.
    3. S. Hess & E. Suárez & J. Camacho & G. Ramírez & B. Hernández, 2001. "Reliability of Coordinates Obtained by MINISSA Concerning the Order of Presented Stimuli," Quality & Quantity: International Journal of Methodology, Springer, vol. 35(2), pages 117-128, May.
    4. van de Velden, M. & de Beuckelaer, A. & Groenen, P.J.F. & Busing, F.M.T.A., 2011. "Nonmetric Unfolding of Marketing Data: Degeneracy and Stability," ERIM Report Series Research in Management ERS-2011-006-MKT, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    5. Groenen, Patrick J. F. & Franses, Philip Hans, 2000. "Visualizing time-varying correlations across stock markets," Journal of Empirical Finance, Elsevier, vol. 7(2), pages 155-172, August.
    6. Maximilian Matthe & Daniel M. Ringel & Bernd Skiera, 2023. "Mapping Market Structure Evolution," Marketing Science, INFORMS, vol. 42(3), pages 589-613, May.
    7. Graziano Vernizzi & Miki Nakai, 2015. "A Geometrical Framework for Covariance Matrices of Continuous and Categorical Variables," Sociological Methods & Research, , vol. 44(1), pages 48-79, February.
    8. Glenn Parker & Suzanne Parker, 1998. "The economic organization of legislatures and how it affects congressional voting," Public Choice, Springer, vol. 95(1), pages 117-129, April.
    9. Sergio Camiz & Valério D. Pillar, 2018. "Identifying the Informational/Signal Dimension in Principal Component Analysis," Mathematics, MDPI, vol. 6(11), pages 1-16, November.
    10. Jesper W. Schneider & Birger Larsen & Peter Ingwersen, 2009. "A comparative study of first and all-author co-citation counting, and two different matrix generation approaches applied for author co-citation analyses," Scientometrics, Springer;Akadémiai Kiadó, vol. 80(1), pages 103-130, July.
    11. Malcolm Dow & Peter Willett & Roderick McDonald & Belver Griffith & Michael Greenacre & Peter Bryant & Daniel Wartenberg & Ove Frank, 1987. "Book reviews," Journal of Classification, Springer;The Classification Society, vol. 4(2), pages 245-278, September.
    12. Edmund Peay, 1988. "Multidimensional rotation and scaling of configurations to optimal agreement," Psychometrika, Springer;The Psychometric Society, vol. 53(2), pages 199-208, June.
    13. Bruce Korth & Ledyard Tucker, 1975. "The distribution of chance congruence coefficients from simulated data," Psychometrika, Springer;The Psychometric Society, vol. 40(3), pages 361-372, September.
    14. Ingwer Borg & James Lingoes, 1978. "What weight should weights have in individual differences scaling?," Quality & Quantity: International Journal of Methodology, Springer, vol. 12(3), pages 223-237, September.
    15. 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.
    16. Saburi, S. & Chino, N., 2008. "A maximum likelihood method for an asymmetric MDS model," Computational Statistics & Data Analysis, Elsevier, vol. 52(10), pages 4673-4684, June.
    17. Peter Verboon & Willem Heiser, 1992. "Resistant orthogonal procrustes analysis," Journal of Classification, Springer;The Classification Society, vol. 9(2), pages 237-256, December.
    18. Forrest Young & Cynthia Null, 1978. "Multidimensional scaling of nominal data: The recovery of metric information with alscal," Psychometrika, Springer;The Psychometric Society, vol. 43(3), pages 367-379, September.

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