方法对比

	典型相关分析	多元线性回归
领域	统计学	统计学
方法族	Latent structure	Regression model
起源年份	1936	1886
提出者	Harold Hotelling	Francis Galton; formalized by Karl Pearson
类型	Multivariate linear dimension reduction and association	Parametric linear model
开创性文献	Hotelling, H. (1936). Relations between two sets of variates. Biometrika, 28(3–4), 321–377.	Galton, F. (1886). Regression towards mediocrity in hereditary stature. Journal of the Anthropological Institute of Great Britain and Ireland, 15, 246–263.
别名	CCA, canonical variate analysis, canonical analysis, multiple canonical correlation	MLR, OLS regression, multiple regression, linear regression with multiple predictors
相关	4	8
摘要	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.	Multiple linear regression (MLR) is a parametric regression model that expresses a continuous outcome as a weighted linear combination of two or more predictor variables plus a random error term. The unknown weights (regression coefficients) are estimated by ordinary least squares (OLS), which minimises the sum of squared residuals. The method traces to Francis Galton's 1886 work on hereditary stature and was placed on firm mathematical footing by Karl Pearson; Draper and Smith's 1966 textbook established it as the standard framework for applied regression.