قارن الطرق

	تحليل التوافق القوي	التحجيم متعدد الأبعاد المرن (Robust MDS)
المجال	الإحصاء	الإحصاء
العائلة	Latent structure	Latent structure
سنة النشأة	2000s (robust extensions of CA developed since the early 2000s)	2002 (robust extension); 1952 (classical MDS)
صاحب الطريقة	Greenacre (CA); robust extensions by Croux, Ruiz-Gazen and colleagues	Hubert, Arabie, and Meulman (robust extensions); classical MDS by Torgerson (1952)
النوع	Robust dimension reduction for contingency tables	Dimensionality reduction / proximity scaling
المصدر التأسيسي	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.	Hubert, L., Arabie, P. & Meulman, J. (2002). Linear unidimensional scaling in the L2-norm: Basic optimization methods using SMACOF. Journal of Classification, 19(2), 303–327.
الأسماء البديلة	RCA, outlier-resistant correspondence analysis, robust CA	Robust MDS, outlier-resistant MDS, robust proximity scaling
ذات صلة	5	4
الملخص	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 multidimensional scaling recovers a low-dimensional spatial map from a matrix of pairwise dissimilarities while resisting distortion caused by outlying or erroneous proximity values. By replacing squared-error loss with a robust loss function or down-weighting suspect pairs, it produces a configuration that faithfully represents the bulk of the data even when some distances are grossly atypical.