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Some results on proper eigenvalues and eigenvectors with applications to scaling

Author

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  • Roderick McDonald
  • Yukihiko Torii
  • Shizuhiko Nishisato

Abstract

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Suggested Citation

  • Roderick McDonald & Yukihiko Torii & Shizuhiko Nishisato, 1979. "Some results on proper eigenvalues and eigenvectors with applications to scaling," Psychometrika, Springer;The Psychometric Society, vol. 44(2), pages 211-227, June.
  • Handle: RePEc:spr:psycho:v:44:y:1979:i:2:p:211-227
    DOI: 10.1007/BF02293972
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    References listed on IDEAS

    as
    1. Roderick McDonald, 1968. "A unified treatment of the weighting problem," Psychometrika, Springer;The Psychometric Society, vol. 33(3), pages 351-381, September.
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    Citations

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    Cited by:

    1. Roderick McDonald, 1986. "Describing the elephant: Structure and function in multivariate data," Psychometrika, Springer;The Psychometric Society, vol. 51(4), pages 513-534, December.
    2. Shizuhiko Nishisato & Wen-Jenn Sheu, 1980. "Piecewise method of reciprocal averages for dual scaling of multiple-choice data," Psychometrika, Springer;The Psychometric Society, vol. 45(4), pages 467-478, December.
    3. Albers, C.J. & Critchley, F. & Gower, J.C., 2011. "Quadratic minimisation problems in statistics," Journal of Multivariate Analysis, Elsevier, vol. 102(3), pages 698-713, March.
    4. 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.
    5. Tanaka, Yutaka & Zhang, Fanghong, 1999. "R-mode and Q-mode influence analyses in statistical modelling: relationship between influence function approach and local influence approach," Computational Statistics & Data Analysis, Elsevier, vol. 32(2), pages 197-218, December.
    6. Shizuhiko Nishisato, 1984. "Forced classification: A simple application of a quantification method," Psychometrika, Springer;The Psychometric Society, vol. 49(1), pages 25-36, March.
    7. Albers, C.J. & Critchley, F. & Gower, J.C., 2011. "Applications of quadratic minimisation problems in statistics," Journal of Multivariate Analysis, Elsevier, vol. 102(3), pages 714-722, March.
    8. Alonso Fernández, Andrés Modesto & Casado, David & Romo, Juan, 2009. "Classification of functional data: a weighted distance approach," DES - Working Papers. Statistics and Econometrics. WS ws093915, Universidad Carlos III de Madrid. Departamento de Estadística.
    9. Aurea Grané & Josep Fortiana, 2011. "A directional test of exponentiality based on maximum correlations," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 73(2), pages 255-274, March.

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