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ロバスト対応分析×ロバスト多重対応分析(Robust MCA)×
分野統計学統計学
系統Latent structureLatent structure
提唱年2000s (robust extensions of CA developed since the early 2000s)2000s
提唱者Greenacre (CA); robust extensions by Croux, Ruiz-Gazen and colleaguesExtensions by Hubert, Rousseeuw and collaborators; building on classical MCA by Benzécri (1973) and Greenacre (1984)
種類Robust dimension reduction for contingency tablesRobust multivariate dimension reduction
原典Croux, C. & Ruiz-Gazen, A. (2005). High breakdown estimators for principal components: the projection-pursuit approach revisited. Journal of Multivariate Analysis, 95(1), 206–226. DOI ↗Greenacre, M. J. (2017). Correspondence Analysis in Practice (3rd ed.). Chapman & Hall / CRC Press, Boca Raton. ISBN: 978-1498731775
別名RCA, outlier-resistant correspondence analysis, robust CARobust MCA, Outlier-resistant MCA, Robust HOMALS
関連54
概要Robust Correspondence Analysis (RCA) extends classical correspondence analysis to contingency tables that contain outlying rows or columns. By replacing the standard singular value decomposition with a robust alternative, RCA produces biplots and coordinate maps that accurately reflect the dominant association structure even when atypical cells or categories exert undue influence on the standard solution.Robust 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.
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ScholarGate手法を比較: Robust Correspondence Analysis · Robust Multiple Correspondence Analysis. 2026-06-17に以下より取得 https://scholargate.app/ja/compare