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| Ανάλυση Πολλαπλής Αντιστοιχίας (Robust MCA)× | Ανάλυση Πολλαπλών Αντιστοιχιών (MCA)× | |
|---|---|---|
| Πεδίο | Στατιστική | Στατιστική |
| Οικογένεια | Latent structure | Latent structure |
| Έτος προέλευσης≠ | 2000s | 2006 |
| Δημιουργός≠ | Extensions by Hubert, Rousseeuw and collaborators; building on classical MCA by Benzécri (1973) and Greenacre (1984) | Greenacre & Blasius |
| Τύπος≠ | Robust multivariate dimension reduction | Multivariate exploratory ordination |
| Θεμελιώδης πηγή≠ | Greenacre, M. J. (2017). Correspondence Analysis in Practice (3rd ed.). Chapman & Hall / CRC Press, Boca Raton. ISBN: 978-1498731775 | Greenacre, M., & Blasius, J. (Eds.). (2006). Multiple Correspondence Analysis and Related Methods. Chapman & Hall/CRC. ISBN: 978-1-58488-628-0 |
| Εναλλακτικές ονομασίες≠ | Robust MCA, Outlier-resistant MCA, Robust HOMALS | MCA, Homogeneity Analysis, Multiple Nominal Component Analysis, Çoklu Uyum Analizi |
| Συναφείς≠ | 4 | 2 |
| Σύνοψη≠ | 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. | Multiple Correspondence Analysis (MCA) is a multivariate ordination technique designed to explore and visualize associations among three or more categorical variables simultaneously. By mapping both observations and variable categories onto a shared low-dimensional space, MCA reveals hidden structure in nominal or ordinal survey data. The method was comprehensively systematized and extended by Michael Greenacre and Jorg Blasius in their 2006 edited volume, building on earlier geometric data analysis traditions developed in France by Jean-Paul Benzecri during the 1960s and 1970s. |
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