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다차원 척도법(MDS)×대응 분석×
분야통계학통계학
계열Latent structureLatent structure
기원 연도1952–19641984
창시자Warren S. Torgerson (metric MDS, 1952); Joseph B. Kruskal (non-metric MDS, 1964)Jean-Paul Benzécri; Michael Greenacre
유형Dimensionality reduction / visualizationExploratory multivariate technique for categorical data
원전Kruskal, 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
별칭MDS, metric MDS, non-metric MDS, proximity scalingCA, Simple Correspondence Analysis, Reciprocal Averaging, Karşılıklı Uyum Analizi
관련52
요약Multidimensional 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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