مقایسهٔ روش‌ها

	آزمون دقیق دوجمله‌ای	آزمون استقلال کی-دو
حوزه	آمار	آمار
خانواده	Regression model	Hypothesis test
سال پیدایش	1988	1900
پدیدآور	Classical exact test; textbook treatment by Siegel & Castellan	Karl Pearson
نوع	Exact one-sample test for a proportion	Nonparametric test of association
منبع بنیادین	Siegel, S. & Castellan, N. J. (1988). Nonparametric Statistics for the Behavioral Sciences (2nd ed.). McGraw-Hill. ISBN: 978-0070573574	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.
نام‌های دیگر	exact binomial test, binomial probability test, exact test for a proportion, Tam Binom Testi	chi-squared test, Pearson's chi-square test, test of independence, ki-kare bağımsızlık testi
مرتبط	2	2
خلاصه	The exact binomial test checks whether the observed number of successes in a fixed number of independent trials is consistent with a pre-specified success probability p₀. Because it computes exact binomial tail probabilities rather than relying on a normal approximation, it is the gold standard for testing a proportion in small samples; this two-sided formulation follows Siegel & Castellan's classic treatment (1988).	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.