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| Adjusted R-squared (R²_adj)× | Bestimmtheitsmaß (R²)× | |
|---|---|---|
| Fachgebiet | Modellevaluation | Modellevaluation |
| Familie | MCDM | MCDM |
| Entstehungsjahr≠ | 1961 | 1896 |
| Urheber≠ | Henri Theil | Karl Pearson |
| Typ≠ | Penalized goodness-of-fit metric | Goodness-of-fit metric |
| Wegweisende Quelle≠ | Theil, H. (1961). Economic Forecasts and Policy. Amsterdam: North-Holland Publishing Company. link ↗ | Pearson, K. (1896). Mathematical contributions to the theory of evolution. Philosophical Transactions of the Royal Society A, 187, 253-318. link ↗ |
| Aliasnamen≠ | Adjusted R², R²_adj | R², coefficient of determination, r2 score |
| Verwandt | 5 | 5 |
| Zusammenfassung≠ | Adjusted 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. | The coefficient of determination, denoted R², measures the proportion of variance in the dependent variable explained by the independent variables in a regression model. Introduced by Karl Pearson in the late 19th century, R² is one of the most widely used metrics for assessing how well a model fits observed data. |
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