مقایسهٔ روش‌ها

	آزمون دقیق قوی فیشر	آزمون استقلال کی-دو
حوزه	آمار	آمار
خانواده	Hypothesis test	Hypothesis test
سال پیدایش	1935 (base); mid-p robustification 1961+	1900
پدیدآور	Fisher (1935); mid-p extension by Lancaster (1961) and others	Karl Pearson
نوع	Robust exact conditional test	Nonparametric test of association
منبع بنیادین	Agresti, A. (2002). Categorical Data Analysis (2nd ed.). Wiley-Interscience. ISBN: 978-0471360933	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	mid-p Fisher's exact test, robust exact test for contingency tables, conditional robust Fisher test, Fisher mid-p test	chi-squared test, Pearson's chi-square test, test of independence, ki-kare bağımsızlık testi
مرتبط	3	2
خلاصه	The robust Fisher's exact test extends Fisher's classic exact test for contingency tables by applying conservative-correcting adjustments — most commonly the mid-p correction — to reduce the extreme conservatism of the standard exact test. This produces better-calibrated Type I error rates while maintaining validity in small and sparse samples.	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.