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آزمون نیکویی برازش×ضریب تعیین (R²)×
حوزهارزیابی مدلارزیابی مدل
خانوادهMCDMMCDM
سال پیدایش19001896
پدیدآورKarl PearsonKarl Pearson
نوعHypothesis testing framework for model adequacyGoodness-of-fit metric
منبع بنیادینPearson, K. (1900). On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling. Philosophical Magazine, 50(302), 157-175. DOI ↗Pearson, K. (1896). Mathematical contributions to the theory of evolution. Philosophical Transactions of the Royal Society A, 187, 253-318. link ↗
نام‌های دیگرgoodness of fit test, GOF test, model fit assessmentR², coefficient of determination, r2 score
مرتبط45
خلاصهGoodness-of-fit (GOF) testing is a framework for assessing whether observed data are consistent with a hypothesized probability distribution or model. Originating from Karl Pearson's chi-square test (1900), GOF tests quantify the discrepancy between data and model predictions, yielding p-values to judge whether observed deviations are statistically significant or due to random chance.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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ScholarGateمقایسهٔ روش‌ها: Goodness-of-Fit · R-squared. بازیابی‌شده در 2026-06-19 از https://scholargate.app/fa/compare