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Justeret R-kvadrat (R²_adj)×Middelfejlskvadrat (MSE)×
FagområdeModelevalueringModelevaluering
FamilieMCDMMCDM
Oprindelsesår19611809
OphavspersonHenri TheilCarl Friedrich Gauss
TypePenalized goodness-of-fit metricSquared-error loss function
Oprindelig kildeTheil, H. (1961). Economic Forecasts and Policy. Amsterdam: North-Holland Publishing Company. link ↗Gauss, C. F. (1809). Theoria Motus Corporum Coelestium in Sectionibus Conicis Solem Ambientium. Hamburg: Perthes and Besser. link ↗
AliasserAdjusted R², R²_adjMSE, L2 error, quadratic error
Relaterede54
ResuméAdjusted R² is a corrected version of the coefficient of determination that accounts for the number of predictors in a regression model. Introduced by Henri Theil in 1961, it addresses the fundamental limitation of standard R²: the tendency to increase whenever any predictor is added, regardless of whether that predictor contributes meaningfully to explaining the target variable.Mean Squared Error is the foundational loss function for regression models, measuring the average squared deviation between predictions and observations. Originating from Gauss and Legendre's method of least squares (1805-1809), MSE is the basis for ordinary least squares regression and remains central to modern machine learning optimization.
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ScholarGateSammenlign metoder: Adjusted R-squared · Mean Squared Error. Hentet 2026-06-15 fra https://scholargate.app/da/compare