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Principal component analysis with external information on both subjects and variables

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Author Info
Yoshio Takane
Tadashi Shibayama
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File URL: http://hdl.handle.net/10.1007/BF02294589
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Publisher Info
Article provided by Springer in its journal Psychometrika.

Volume (Year): 56 (1991)
Issue (Month): 1 (March)
Pages: 97-120
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Handle: RePEc:spr:psycho:v:56:y:1991:i:1:p:97-120

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Related research
Keywords: orthogonal projection operator; trace-orthogonality; generalized singular value decomposition (GSVD); QR decomposition; vector preference models; two-way CANDELINC; dual scaling; redundancy analysis; GMANOVA (growth curve models);

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Rao, C. Radhakrishna, 1979. "Separation theorems for singular values of matrices and their applications in multivariate analysis," Journal of Multivariate Analysis, Elsevier, vol. 9(3), pages 362-377, September. [Downloadable!] (restricted)
  2. Geert Soete & J. Carroll, 1983. "A maximum likelihood method for fitting the wandering vector model," Psychometrika, Springer, vol. 48(4), pages 553-566, December. [Downloadable!] (restricted)
  3. J. Ramsay & Jos Berge & G. Styan, 1984. "Matrix correlation," Psychometrika, Springer, vol. 49(3), pages 403-423, September. [Downloadable!] (restricted)
  4. Ulf Böckenholt & Ingo Böcknholt, 1990. "Canonical analysis of contingency tables with linear constraints," Psychometrika, Springer, vol. 55(4), pages 633-639, December. [Downloadable!] (restricted)
  5. Shizuhiko Nishisato, 1978. "Optimal scaling of paired comparison and rank order data: An alternative to Guttman's formulation," Psychometrika, Springer, vol. 43(4), pages 587-587, December. [Downloadable!] (restricted)
  6. Gordon Bechtel & Ledyard Tucker & Wei-Ching Chang, 1971. "A scalar product model for the multidimensional scaling of choice," Psychometrika, Springer, vol. 36(4), pages 369-388, December. [Downloadable!] (restricted)
  7. J. Ramsay, 1978. "Confidence regions for multidimensional scaling analysis," Psychometrika, Springer, vol. 43(2), pages 145-160, June. [Downloadable!] (restricted)
  8. Shizuhiko Nishisato & Wen-Jenn Sheu, 1984. "A note on dual scaling of successive categories data," Psychometrika, Springer, vol. 49(4), pages 493-500, December. [Downloadable!] (restricted)
  9. J. Kruskal, 1964. "Nonmetric multidimensional scaling: A numerical method," Psychometrika, Springer, vol. 29(2), pages 115-129, June. [Downloadable!] (restricted)
  10. S. Winsberg & J. Ramsay, 1983. "Monotone spline transformations for dimension reduction," Psychometrika, Springer, vol. 48(4), pages 575-595, December. [Downloadable!] (restricted)
  11. Heiser, Willem J. & Meulman, Jacqueline, 1983. "Analyzing rectangular tables by joint and constrained multidimensional scaling," Journal of Econometrics, Elsevier, vol. 22(1-2), pages 139-167. [Downloadable!] (restricted)
  12. J. Douglas Carroll & Sandra Pruzansky & Joseph Kruskal, 1980. "Candelinc: A general approach to multidimensional analysis of many-way arrays with linear constraints on parameters," Psychometrika, Springer, vol. 45(1), pages 3-24, March. [Downloadable!] (restricted)
  13. Bruce Bloxom, 1978. "Constrained multidimensional scaling inN spaces," Psychometrika, Springer, vol. 43(3), pages 397-408, September. [Downloadable!] (restricted)
  14. Philippe Besse & J. Ramsay, 1986. "Principal components analysis of sampled functions," Psychometrika, Springer, vol. 51(2), pages 285-311, June. [Downloadable!] (restricted)
  15. Sharon Weinberg & J. Carroll & Harvey Cohen, 1984. "Confidence regions for INDSCAL using the jackknife and bootstrap techniques," Psychometrika, Springer, vol. 49(4), pages 475-491, December. [Downloadable!] (restricted)
  16. Shizuhiko Nishisato, 1978. "Optimal scaling of paired comparison and rank order data: An alternative to guttman's formulation," Psychometrika, Springer, vol. 43(2), pages 263-271, June. [Downloadable!] (restricted)
  17. Wayne DeSarbo & Vithala Rao, 1984. "GENFOLD2: A set of models and algorithms for the general UnFOLDing analysis of preference/dominance data," Journal of Classification, Springer, vol. 1(1), pages 147-186, December. [Downloadable!] (restricted)
  18. Harry Gollob, 1968. "A statistical model which combines features of factor analytic and analysis of variance techniques," Psychometrika, Springer, vol. 33(1), pages 73-115, March. [Downloadable!] (restricted)
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Heungsun Hwang & Yoshio Takane, 2002. "Generalized constrained multiple correspondence analysis," Psychometrika, Springer, vol. 67(2), pages 211-224, June. [Downloadable!] (restricted)
  2. Yoshio Takane, 1995. "Reviews," Psychometrika, Springer, vol. 60(3), pages 447-448, September. [Downloadable!] (restricted)
  3. Yoshio Takane & Sunho Jung, 2008. "Regularized Partial and/or Constrained Redundancy Analysis," Psychometrika, Springer, vol. 73(4), pages 671-690, December. [Downloadable!] (restricted)
  4. Yoshio Takane & Haruo Yanai & Shinichi Mayekawa, 1991. "Relationships among several methods of linearly constrained correspondence analysis," Psychometrika, Springer, vol. 56(4), pages 667-684, December. [Downloadable!] (restricted)
  5. Eric Beh & Luigi D’Ambra, 2009. "Some Interpretative Tools for Non-Symmetrical Correspondence Analysis," Journal of Classification, Springer, vol. 26(1), pages 55-76, April. [Downloadable!] (restricted)
  6. Geert Soete & Suzanne Winsberg, 1993. "A latent class vector model for preference ratings," Journal of Classification, Springer, vol. 10(2), pages 195-218, December. [Downloadable!] (restricted)
  7. Shizuhiko Nishisato, 1996. "Gleaning in the field of dual scaling," Psychometrika, Springer, vol. 61(4), pages 559-599, December. [Downloadable!] (restricted)
  8. Vartan Choulakian, 1996. "Generalized bilinear models," Psychometrika, Springer, vol. 61(2), pages 271-283, June. [Downloadable!] (restricted)
  9. Yoshio Takane & Henk Kiers & Jan Leeuw, 1995. "Component analysis with different sets of constraints on different dimensions," Psychometrika, Springer, vol. 60(2), pages 259-280, June. [Downloadable!] (restricted)
  10. Cajo Braak, 1997. "Reviews," Psychometrika, Springer, vol. 62(3), pages 457-459, September. [Downloadable!] (restricted)
  11. Vincenzo Vinzi & Christiane Guinot & Silvia Squillacciotti, 2007. "Two-step PLS regression for L-structured data: an application in the cosmetic industry," Statistical Methods and Applications, Springer, vol. 16(2), pages 263-278, August. [Downloadable!] (restricted)
  12. Henk Kiers & Yoshio Takane, 1993. "Constrained DEDICOM," Psychometrika, Springer, vol. 58(2), pages 339-355, June. [Downloadable!] (restricted)
  13. Heungsun Hwang & Yoshio Takane, 2004. "A multivariate reduced-rank growth curve model with unbalanced data," Psychometrika, Springer, vol. 69(1), pages 65-79, March. [Downloadable!] (restricted)
  14. Michael Greenacre & Shizuhiko Nishisato, 1996. "Reviews," Psychometrika, Springer, vol. 61(1), pages 177-190, March. [Downloadable!] (restricted)
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