Rethinking factor analysis as an interpolation problem

DOI10.1080/02331888808802108zbMath0649.62053OpenAlexW2149738717MaRDI QIDQ3795074

Angelika van der Linde

Publication date: 1988

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888808802108

zbMATH Keywords

Factor analysisfactor indeterminacyfactor scores estimationinterpolation in reproducing kernel Hilbert spaces

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25)

Cites Work

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• Asymptotic theory for the principal component analysis of a vector random function: Some applications to statistical inference
• When the data are functions
• The determinacy of common factors in large item domains
• Principal components analysis of sampled functions
• A definition for the common-factor analysis model and the elimination of problems of factor score indeterminacy
• Gaussian measure in Hilbert space and applications in numerical analysis
• Interpolation of regression functions in reproducing kernel hubert spaces
• Asymptotic Normality and Consistency of the Least Squares Estimators for Families of Linear Regressions
• A Biometrics Invited Paper. A Synthetic Basis for a Comprehensive Factor-Analysis Theory
• Posterior analysis of the factor model
• Designs for Regression Problems with Correlated Errors
• A Correspondence Between Bayesian Estimation on Stochastic Processes and Smoothing by Splines

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