A nonmetric variety of linear factor analysis

DOI10.1007/BF02291465zbMath0295.62064OpenAlexW2073274955MaRDI QIDQ1213265

Roger N. Shepard, Joseph B. Kruskal

Publication date: 1974

Published in: Psychometrika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02291465

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Mathematical psychology (91E99) Applications of statistics to psychology (62P15)

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Cites Work

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• Determination of the number of independent parameters of a score matrix from the examination of rank orders
• On a connection between factor analysis and multidimensional unfolding
• The analysis of proximities: Multidimensional scaling with an unknown distance function: I, II
• A comparison of four methods of constructing factor scores
• Transformations that render curves parallel
• Monotone regression: Continuity and differentiability properties
• Transforming curves into curves with the same shape
• Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis
• Nonmetric multidimensional scaling. A numerical method
• The Gradient Projection Method for Nonlinear Programming. Part I. Linear Constraints