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ضریب تعیین (R²)×R² تعدیل‌شده (R²_adj)×
حوزهارزیابی مدلارزیابی مدل
خانوادهMCDMMCDM
سال پیدایش18961961
پدیدآورKarl PearsonHenri Theil
نوعGoodness-of-fit metricPenalized goodness-of-fit metric
منبع بنیادینPearson, K. (1896). Mathematical contributions to the theory of evolution. Philosophical Transactions of the Royal Society A, 187, 253-318. link ↗Theil, H. (1961). Economic Forecasts and Policy. Amsterdam: North-Holland Publishing Company. link ↗
نام‌های دیگرR², coefficient of determination, r2 scoreAdjusted R², R²_adj
مرتبط55
خلاصهThe 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.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.
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ScholarGateمقایسهٔ روش‌ها: R-squared · Adjusted R-squared. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare