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对应分析×多维尺度分析 (MDS)×
领域统计学统计学
方法族Latent structureLatent structure
起源年份19841952–1964
提出者Jean-Paul Benzécri; Michael GreenacreWarren S. Torgerson (metric MDS, 1952); Joseph B. Kruskal (non-metric MDS, 1964)
类型Exploratory multivariate technique for categorical dataDimensionality reduction / visualization
开创性文献Greenacre, M. J. (1984). Theory and Applications of Correspondence Analysis. Academic Press. ISBN: 978-0-12-299050-2Kruskal, J. B. (1964). Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis. Psychometrika, 29(1), 1–27. DOI ↗
别名CA, Simple Correspondence Analysis, Reciprocal Averaging, Karşılıklı Uyum AnaliziMDS, metric MDS, non-metric MDS, proximity scaling
相关25
摘要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.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.
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ScholarGate方法对比: Correspondence Analysis · Multidimensional Scaling. 于 2026-06-18 检索自 https://scholargate.app/zh/compare