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1 results

  • Component Analysis with Different Sets of Constraints on Different Dimensions

  • Yoshio Takane, Henk A. L. Kiers, Jan de Leeuw
  • Journal:
    Psychometrika / Volume 60 / Issue 2 / June 1995
    Published online by Cambridge University Press:
    01 January 2025, pp. 259-280

  • Many of the “classical” multivariate data analysis and multidimensional scaling techniques call for approximations by lower dimensional configurations. A model is proposed, in which different sets of linear constraints are imposed on different dimensions in component analysis and “classical” multidimensional scaling frameworks. A simple, efficient, and monotonically convergent algorithm is presented for fitting the model to the data by least squares. The basic algorithm is extended to cover across-dimension constraints imposed in addition to the dimensionwise constraints, and to the case of a symmetric data matrix. Examples are given to demonstrate the use of the method.