Alternative weights and invariant parameters in optimal scaling

DOI10.1007/BF02293682zbMath0546.62075OpenAlexW2051829709MaRDI QIDQ797948

Roderick P. McDonald

Publication date: 1983

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02293682

zbMATH Keywords

eigenvalueseigenvectorsoptimal scalinglatent trait theoryoptimal weightsgeneralized inverse proceduresinvariant item scores

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Theory of matrix inversion and generalized inverses (15A09) Linear equations (linear algebraic aspects) (15A06) Applications of statistics to psychology (62P15)

Related Items (3)

Describing the elephant: Structure and function in multivariate data ⋮ The choice of constraints in correspondence analysis ⋮ Gleaning in the field of dual scaling

Cites Work

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• Some results on proper eigenvalues and eigenvectors with applications to scaling
• Generalized eigenvalue problems with positive semi-definite matrices
• Three common factor models for groups of variables
• A note on McDonald's generalization of principal components analysis
• A unified treatment of the weighting problem
• The simultaneous estimation of factor loadings and scores
• A simple comprehensive model for the analysis of covariance structures: Some remarks on applications
• An approach to the scaling of categorized attributes

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