Methoden vergleichen

	Bayesian Multidimensionale Skalierung (BMDS)	Multidimensionale Skalierung (MDS)
Fachgebiet	Statistik	Statistik
Familie	Latent structure	Latent structure
Entstehungsjahr	2001	1952–1964
Urheber	Oh & Raftery	Warren S. Torgerson (metric MDS, 1952); Joseph B. Kruskal (non-metric MDS, 1964)
Typ	Bayesian latent-space dimensionality reduction	Dimensionality reduction / visualization
Wegweisende Quelle	Oh, M.-S. & Raftery, A. E. (2001). Bayesian multidimensional scaling and choice of dimension. Journal of the American Statistical Association, 96(455), 1031–1044.	Kruskal, J. B. (1964). Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis. Psychometrika, 29(1), 1–27.
Aliasnamen	Bayesian MDS, BMDS, probabilistic MDS, Bayesian proximity scaling	MDS, metric MDS, non-metric MDS, proximity scaling
Verwandt	6	5
Zusammenfassung	Bayesian Multidimensional Scaling places objects in a low-dimensional latent space so that inter-object distances reproduce observed dissimilarities, while a full Bayesian treatment quantifies uncertainty in the coordinates, handles missing proximities naturally, and selects the number of dimensions via model comparison rather than heuristic inspection.	Multidimensional scaling maps objects described only by pairwise similarities or dissimilarities into a low-dimensional geometric space so that distances in that space reflect the original proximity structure as faithfully as possible. It is widely used to visualize the hidden structure of psychological, social, and behavioral data.