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آزمون استقلال کای-دو پیرسون×رگرسیون لجستیک×
حوزهآمارآمار پژوهش
خانوادهHypothesis testProcess / pipeline
سال پیدایش19001958
پدیدآورKarl PearsonDavid Roxbee Cox
نوعNonparametric association / goodness-of-fitMethod
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. Philosophical Magazine, Series 5, 50(302), 157–175. link ↗Cox, D. R. (1958). The regression analysis of binary sequences. Journal of the Royal Statistical Society, Series B, 20(2), 215–242. DOI ↗
نام‌های دیگرchi-squared test, χ² test, Ki-Kare Testi, chi-square testlogit model, binomial logistic regression, LR
مرتبط33
خلاصهThe chi-square test of independence is a nonparametric hypothesis test that determines whether two categorical variables are statistically associated or independent of one another. Introduced by Karl Pearson in 1900, it remains the standard procedure for analysing contingency tables and requires no assumption of normality — only that observations are independent and that expected cell frequencies are sufficiently large.Logistic regression is a statistical method for modeling the probability of a binary outcome (disease present/absent, success/failure) as a function of continuous and categorical predictors. Developed by David Roxbee Cox (1958), it solves the problem of predicting categorical outcomes by applying a logistic transformation to constrain predictions to the [0,1] probability interval, enabling accurate risk stratification, diagnostic prediction, and causal inference in epidemiology, medicine, and social science.
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ScholarGateمقایسهٔ روش‌ها: Chi-square goodness-of-fit test · Logistic Regression. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare