Some results on proper eigenvalues and eigenvectors with applications to scaling

DOI10.1007/BF02293972zbMath0423.62088OpenAlexW2062461862MaRDI QIDQ1134493

Shizuhiko Nishisato, Roderick P. McDonald, Yukihiko Torii

Publication date: 1979

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02293972

zbMATH Keywords

singular matricesstationary pointsoptimal scalingratio of quadratic forms

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Quadratic and bilinear forms, inner products (15A63) Mathematical psychology (91E99) Applications of statistics to psychology (62P15)

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Describing the elephant: Structure and function in multivariate data ⋮ Maximization of sums of quotients of quadratic forms and some generalizations ⋮ A directional test of exponentiality based on maximum correlations ⋮ Quadratic minimisation problems in statistics ⋮ Applications of quadratic minimisation problems in statistics ⋮ Generalized eigenvalue problems with positive semi-definite matrices ⋮ The BLUE's covariance matrix revisited: A review ⋮ Alternative weights and invariant parameters in optimal scaling ⋮ On a separation theorem for generalized eigenvalues and a problem in the analysis of sample surveys

Cites Work

• Optimal scaling of paired comparison and rank order data: an alternative to Guttman's formulation

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