مقایسهٔ روش‌ها

	آزمون دقیق دوجمله‌ای	تحلیل جدول ترکیبی
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	Descriptive and inferential categorical analysis
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	crosstab, contingency table analysis, two-way frequency table, bivariate frequency analysis
مرتبط	2	5
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).	Cross-tabulation analysis (contingency table analysis) is a foundational descriptive and inferential technique for examining the relationship between two or more categorical variables. It arranges observed frequencies into a table of rows and columns, enabling visual inspection of patterns and formal chi-square testing of independence between the variables.