เปรียบเทียบวิธี

	ค่า V ของ Cramér	การทดสอบไค-สแควร์ความเป็นอิสระ
สาขาวิชา	สถิติศาสตร์	สถิติศาสตร์
ตระกูล	Hypothesis test	Hypothesis test
ปีกำเนิด	1946	1900
ผู้ริเริ่ม	Harald Cramér	Karl Pearson
ประเภท	Nonparametric association measure	Nonparametric test of association
แหล่งต้นตำรับ	Cramér, H. (1946). Mathematical Methods of Statistics. Princeton University Press. ISBN: 978-0691080420	Pearson, 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.
ชื่อเรียกอื่น	cramers 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
ที่เกี่ยวข้อง	3	2
สรุป	Cramer'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.