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	判別分析	Canonical Correlation Analysis
分野	統計学	統計学
系統	Latent structure	Latent structure
提唱年	1936	1936
提唱者	Ronald A. Fisher	Harold Hotelling
種類	Supervised classification and dimension reduction	Multivariate linear dimension reduction and association
原典	Fisher, R. A. (1936). The use of multiple measurements in taxonomic problems. Annals of Eugenics, 7(2), 179–188.	Hotelling, H. (1936). Relations between two sets of variates. Biometrika, 28(3–4), 321–377.
別名	LDA, Fisher discriminant analysis, discriminant function analysis, canonical discriminant analysis	CCA, canonical variate analysis, canonical analysis, multiple canonical correlation
関連	4	4
概要	Discriminant analysis finds linear combinations of predictor variables that best separate two or more known groups. It is used both to understand which predictors distinguish the groups and to classify new observations into those groups with minimum error.	Canonical Correlation Analysis (CCA) is a multivariate statistical method that identifies pairs of linear combinations — one from each of two variable sets — such that the correlation between each pair is maximised. Introduced by Harold Hotelling in his landmark 1936 Biometrika paper, CCA provides the most general linear framework for studying the association between two multivariate batteries of measurements, and many classical procedures (multiple regression, MANOVA, discriminant analysis) are special cases of it.