Krahasoni metodat

	Biplot: Shfaqja e njëkohshme e rreshtave dhe kolonave në të dhënat shumëvariate	Skalimi Shumëdimensional (MDS)
Fusha	Statistikë	Statistikë
Familja	Latent structure	Latent structure
Viti i origjinës	1971	1952–1964
Krijuesi	Ruben Gabriel	Warren S. Torgerson (metric MDS, 1952); Joseph B. Kruskal (non-metric MDS, 1964)
Lloji	Multivariate graphical display	Dimensionality reduction / visualization
Burimi themelues	Gabriel, K. R. (1971). The biplot graphic display of matrices with application to principal component analysis. Biometrika, 58(3), 453–467.	Kruskal, J. B. (1964). Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis. Psychometrika, 29(1), 1–27.
Emërtime të tjera	Gabriel biplot, PCA biplot, JK biplot, Çift grafik	MDS, metric MDS, non-metric MDS, proximity scaling
Të lidhura	2	5
Përmbledhja	A biplot is a low-dimensional graphical representation of a multivariate data matrix that simultaneously displays both the observations (rows) and the variables (columns) as points or vectors in the same plot. Introduced by Ruben Gabriel in 1971, the technique decomposes the data matrix into a rank-2 approximation using singular value decomposition, allowing the approximate value of any data entry to be read as the inner product of the corresponding row and column markers.	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.