Порівняння методів

	Регресія на головні компоненти (PCR)	Множинна лінійна регресія
Галузь	Машинне навчання	Статистика
Родина	Machine learning	Regression model
Рік появи	1982	1886
Автор методу	Principal-component regression literature (Jolliffe and others)	Francis Galton; formalized by Karl Pearson
Тип	Unsupervised dimension reduction + regression	Parametric linear model
Основоположне джерело	Jolliffe, I. T. (1982). A note on the use of principal components in regression. Journal of the Royal Statistical Society: Series C (Applied Statistics), 31(3), 300–303.	Galton, F. (1886). Regression towards mediocrity in hereditary stature. Journal of the Anthropological Institute of Great Britain and Ireland, 15, 246–263.
Інші назви	PCR, PCA regression, temel bileşenler regresyonu	MLR, OLS regression, multiple regression, linear regression with multiple predictors
Пов'язані	3	8
Підсумок	Principal components regression first compresses a set of correlated predictors into a few principal components — the directions of greatest variance — and then regresses the response on those components. By discarding low-variance directions, PCR stabilizes estimation in the presence of multicollinearity and high dimensionality, at the cost of choosing components without reference to the response.	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.