手法を比較

	Multiple Correspondence Analysis (MCA)（多重対応分析）	多変量データにおける行と列の同時表示：バイプロット
分野	統計学	統計学
系統	Latent structure	Latent structure
提唱年	2006	1971
提唱者	Greenacre & Blasius	Ruben Gabriel
種類	Multivariate exploratory ordination	Multivariate graphical display
原典	Greenacre, M., & Blasius, J. (Eds.). (2006). Multiple Correspondence Analysis and Related Methods. Chapman & Hall/CRC. ISBN: 978-1-58488-628-0	Gabriel, K. R. (1971). The biplot graphic display of matrices with application to principal component analysis. Biometrika, 58(3), 453–467.
別名	MCA, Homogeneity Analysis, Multiple Nominal Component Analysis, Çoklu Uyum Analizi	Gabriel biplot, PCA biplot, JK biplot, Çift grafik
関連	2	2
概要	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.	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.