Comparer des méthodes
Examinez les méthodes sélectionnées côte à côte ; les lignes qui diffèrent sont mises en évidence.
| Analyse des correspondances robuste× | L'Analyse Factorielle des Correspondances Multiples Robuste (AFCMR)× | |
|---|---|---|
| Domaine | Statistique | Statistique |
| Famille | Latent structure | Latent structure |
| Année d'origine≠ | 2000s (robust extensions of CA developed since the early 2000s) | 2000s |
| Auteur d'origine≠ | Greenacre (CA); robust extensions by Croux, Ruiz-Gazen and colleagues | Extensions by Hubert, Rousseeuw and collaborators; building on classical MCA by Benzécri (1973) and Greenacre (1984) |
| Type≠ | Robust dimension reduction for contingency tables | Robust multivariate dimension reduction |
| Source fondatrice≠ | 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 |
| Alias | RCA, outlier-resistant correspondence analysis, robust CA | Robust MCA, Outlier-resistant MCA, Robust HOMALS |
| Apparentées≠ | 5 | 4 |
| Résumé≠ | 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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