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آزمون Q کوکران×آزمون فریدمن×
حوزهآمارآمار
خانوادهHypothesis testHypothesis test
سال پیدایش19501937
پدیدآورWilliam G. CochranMilton Friedman
نوعNonparametric proportions comparisonNonparametric repeated-measures comparison (by ranks)
منبع بنیادینCochran, W. G. (1950). The comparison of percentages in matched samples. Biometrika, 37(3–4), 256–266. DOI ↗Friedman, M. (1937). The use of ranks to avoid the assumption of normality implicit in the analysis of variance. Journal of the American Statistical Association, 32(200), 675–701. DOI ↗
نام‌های دیگرCochran Q Testi, Cochran's Q, Q test for related proportionsFriedman two-way analysis of variance by ranks, Friedman rank test, Friedman Testi
مرتبط42
خلاصهCochran's Q test is a nonparametric hypothesis test introduced by William G. Cochran in 1950 for comparing proportions across three or more related binary measurements. It extends McNemar's test to the multiple-condition case and is the method of choice when every participant is observed under each condition and the outcome is recorded as a simple success/failure (1/0).The Friedman test is a nonparametric hypothesis test that compares three or more related conditions measured on the same blocks or subjects, serving as the rank-based alternative to repeated-measures ANOVA. It was introduced by Milton Friedman in 1937 and works on ordinal or continuous data without assuming normality.
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ScholarGateمقایسهٔ روش‌ها: Cochran Q Test · Friedman test. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare