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多维尺度分析 (MDS)×对应分析×
领域统计学统计学
方法族Latent structureLatent structure
起源年份1952–19641984
提出者Warren S. Torgerson (metric MDS, 1952); Joseph B. Kruskal (non-metric MDS, 1964)Jean-Paul Benzécri; Michael Greenacre
类型Dimensionality reduction / visualizationExploratory multivariate technique for categorical data
开创性文献Kruskal, J. B. (1964). Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis. Psychometrika, 29(1), 1–27. DOI ↗Greenacre, M. J. (1984). Theory and Applications of Correspondence Analysis. Academic Press. ISBN: 978-0-12-299050-2
别名MDS, metric MDS, non-metric MDS, proximity scalingCA, Simple Correspondence Analysis, Reciprocal Averaging, Karşılıklı Uyum Analizi
相关52
摘要Multidimensional scaling maps objects described only by pairwise similarities or dissimilarities into a low-dimensional geometric space so that distances in that space reflect the original proximity structure as faithfully as possible. It is widely used to visualize the hidden structure of psychological, social, and behavioral data.Correspondence Analysis (CA) is an exploratory multivariate technique for visualizing the association structure of a two-way contingency table. Developed systematically by Jean-Paul Benzécri in France during the 1960s–1970s and brought to an English-language audience by Michael Greenacre in 1984, CA decomposes the chi-square statistic of a cross-tabulation to produce a low-dimensional joint display — called a biplot — in which rows and columns are represented as points whose proximities reflect their associations.
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ScholarGate方法对比: Multidimensional Scaling · Correspondence Analysis. 于 2026-06-17 检索自 https://scholargate.app/zh/compare