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تحلیل تناظر (Correspondence Analysis - CA)×بی‌پلات: نمایش همزمان سطرها و ستون‌ها در داده‌های چندمتغیره×
حوزهآمارآمار
خانوادهLatent structureLatent structure
سال پیدایش19841971
پدیدآورJean-Paul Benzécri; Michael GreenacreRuben Gabriel
نوعExploratory multivariate technique for categorical dataMultivariate graphical display
منبع بنیادینGreenacre, M. J. (1984). Theory and Applications of Correspondence Analysis. Academic Press. ISBN: 978-0-12-299050-2Gabriel, K. R. (1971). The biplot graphic display of matrices with application to principal component analysis. Biometrika, 58(3), 453–467. DOI ↗
نام‌های دیگرCA, Simple Correspondence Analysis, Reciprocal Averaging, Karşılıklı Uyum AnaliziGabriel biplot, PCA biplot, JK biplot, Çift grafik
مرتبط22
خلاصهCorrespondence 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.A biplot is a low-dimensional graphical representation of a multivariate data matrix that simultaneously displays both the observations (rows) and the variables (columns) as points or vectors in the same plot. Introduced by Ruben Gabriel in 1971, the technique decomposes the data matrix into a rank-2 approximation using singular value decomposition, allowing the approximate value of any data entry to be read as the inner product of the corresponding row and column markers.
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ScholarGateمقایسهٔ روش‌ها: Correspondence Analysis · Biplot. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare