方法对比

	卡方独立性检验	费舍尔精确检验
领域	统计学	统计学
方法族	Hypothesis test	Hypothesis test
起源年份	1900	1922
提出者	Karl Pearson	R. A. Fisher
类型	Nonparametric test of association	Exact test of independence for categorical data
开创性文献	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.	Fisher, R. A. (1922). On the interpretation of chi-squared from contingency tables, and the calculation of P. Journal of the Royal Statistical Society, 85(1), 87–94.
别名	chi-squared test, Pearson's chi-square test, test of independence, ki-kare bağımsızlık testi	Fisher-Irwin test, exact test of independence, Fisher'ın Kesin Testi
相关	2	2
摘要	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.	Fisher's exact test is a nonparametric exact-probability test of independence for small-sample contingency tables, introduced by R. A. Fisher in 1922. Rather than relying on a large-sample approximation, it computes the exact probability of the observed table directly from the hypergeometric distribution.