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ضریب V کرامر×آزمون استقلال کی-دو×
حوزهآمارآمار
خانوادهHypothesis testHypothesis test
سال پیدایش19461900
پدیدآورHarald CramérKarl Pearson
نوعNonparametric association measureNonparametric test of association
منبع بنیادینCramér, H. (1946). Mathematical Methods of Statistics. Princeton University Press. ISBN: 978-0691080420Pearson, 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 ↗
نام‌های دیگرcramers v, cramer v, phi coefficient (r×c), Cramer's V (İlişki Kuvveti)chi-squared test, Pearson's chi-square test, test of independence, ki-kare bağımsızlık testi
مرتبط32
خلاصهCramer's V is a nonparametric effect-size statistic that measures the strength of association between two categorical variables on a scale from 0 to 1. Introduced by the Swedish mathematician Harald Cramér in his 1946 work Mathematical Methods of Statistics, it generalises the phi coefficient to tables of any size, making it the standard companion statistic to the chi-square test.The chi-square test of independence is a nonparametric hypothesis test that examines whether two categorical variables are associated by comparing observed and expected frequencies in a cross-tabulation. It rests on the chi-square criterion introduced by Karl Pearson in 1900.
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ScholarGateمقایسهٔ روش‌ها: Cramer's V · Chi-square test. بازیابی‌شده در 2026-06-17 از https://scholargate.app/fa/compare