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Robust Multiple Correspondence Analysis (Robust MCA)×대응 분석×
분야통계학통계학
계열Latent structureLatent structure
기원 연도2000s1984
창시자Extensions by Hubert, Rousseeuw and collaborators; building on classical MCA by Benzécri (1973) and Greenacre (1984)Jean-Paul Benzécri; Michael Greenacre
유형Robust multivariate dimension reductionExploratory multivariate technique for categorical data
원전Greenacre, M. J. (2017). Correspondence Analysis in Practice (3rd ed.). Chapman & Hall / CRC Press, Boca Raton. ISBN: 978-1498731775Greenacre, M. J. (1984). Theory and Applications of Correspondence Analysis. Academic Press. ISBN: 978-0-12-299050-2
별칭Robust MCA, Outlier-resistant MCA, Robust HOMALSCA, Simple Correspondence Analysis, Reciprocal Averaging, Karşılıklı Uyum Analizi
관련42
요약Robust Multiple Correspondence Analysis extends classical MCA to datasets containing outlying or atypical rows of categorical data. By downweighting influential observations before the singular value decomposition, it produces a low-dimensional map of category relationships that faithfully represents the bulk of the data rather than being distorted by a handful of anomalous cases.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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