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| Robustná multidimenzionálna škálovania (Robustná MDS)× | Robustná eksploratorná faktorová analýza× | |
|---|---|---|
| Odbor≠ | Štatistika | Psychometria |
| Rodina | Latent structure | Latent structure |
| Rok vzniku≠ | 2002 (robust extension); 1952 (classical MDS) | 2000–2003 |
| Tvorca≠ | Hubert, Arabie, and Meulman (robust extensions); classical MDS by Torgerson (1952) | Pison, Rousseeuw, Filzmoser, and Croux; Yuan and Bentler (parallel streams) |
| Typ≠ | Dimensionality reduction / proximity scaling | Latent variable / dimension reduction (robust) |
| Pôvodný zdroj≠ | 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. link ↗ | Yuan, K.-H., & Bentler, P. M. (2000). Robust mean and covariance structure analysis through iteratively reweighted least squares. Psychometrika, 65(1), 43–58. DOI ↗ |
| Ďalšie názvy≠ | Robust MDS, outlier-resistant MDS, robust proximity scaling | robust EFA, robust factor analysis, outlier-resistant factor analysis, EFA with robust estimation |
| Príbuzné | 4 | 4 |
| Zhrnutie≠ | 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. | Robust exploratory factor analysis discovers the latent factor structure of a set of items using estimation methods that are resistant to outliers and violations of multivariate normality. It applies the same measurement model as standard EFA but replaces classical covariance estimation with robust counterparts — such as minimum covariance determinant or iteratively reweighted least squares — so that a small fraction of atypical cases cannot distort the recovered factor loadings. |
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