विधियों की तुलना करें
चुनी हुई विधियों की आमने-सामने समीक्षा करें; भिन्नता वाली पंक्तियाँ रेखांकित हैं।
| समायोजित R-वर्ग (R²_adj)× | मूल माध्य वर्ग त्रुटि (Root Mean Squared Error - RMSE)× | |
|---|---|---|
| क्षेत्र | मॉडल मूल्यांकन | मॉडल मूल्यांकन |
| परिवार | MCDM | MCDM |
| उद्भव वर्ष≠ | 1961 | 1809 |
| प्रवर्तक≠ | Henri Theil | Carl Friedrich Gauss |
| प्रकार≠ | Penalized goodness-of-fit metric | Distance-based evaluation metric |
| मौलिक स्रोत≠ | Theil, 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 ↗ |
| उपनाम≠ | Adjusted R², R²_adj | RMSE, RMS error, quadratic mean error |
| संबंधित≠ | 5 | 4 |
| सारांश≠ | 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. | Root Mean Squared Error is a widely used metric that measures the average magnitude of prediction errors in regression models. Originating from Carl Friedrich Gauss's work on least-squares estimation (1809), RMSE quantifies how far predictions deviate from observed values by averaging the squared differences and taking the square root. |
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