Σύγκριση μεθόδων

	Έλεγχος Ανεξαρτησίας Chi-square	Συντελεστής V του Cramer	Έλεγχος McNemar
Πεδίο	Στατιστική	Στατιστική	Στατιστική
Οικογένεια	Hypothesis test	Hypothesis test	Hypothesis test
Έτος προέλευσης	1900	1946	1947
Δημιουργός	Karl Pearson	Harald Cramér	Quinn McNemar
Τύπος	Nonparametric test of association	Nonparametric association measure	Nonparametric test for paired binary data
Θεμελιώδης πηγή	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.	Cramér, H. (1946). Mathematical Methods of Statistics. Princeton University Press. ISBN: 978-0691080420	McNemar, Q. (1947). Note on the sampling error of the difference between correlated proportions or percentages. Psychometrika, 12(2), 153–157.
Εναλλακτικές ονομασίες	chi-squared test, Pearson's chi-square test, test of independence, ki-kare bağımsızlık testi	cramers v, cramer v, phi coefficient (r×c), Cramer's V (İlişki Kuvveti)	McNemar chi-square test, test for correlated proportions, paired binary test, McNemar Testi
Συναφείς	2	3	5
Σύνοψη	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.	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.	McNemar's test is a nonparametric hypothesis test that compares two paired (correlated) binary proportions, such as a yes/no measurement taken on the same subjects before and after an intervention. It was introduced by Quinn McNemar in 1947 and works on the 2×2 table of matched outcomes.