手法を比較

	2標本の比率のz検定	独立性カイ二乗検定
分野	統計学	統計学
系統	Hypothesis test	Hypothesis test
提唱年	1900	1900
提唱者	Karl Pearson / classical large-sample z approximation	Karl Pearson
種類	Parametric proportion comparison	Nonparametric test of association
原典	Fleiss, J. L., Levin, B., & Paik, M. C. (2003). Statistical Methods for Rates and Proportions (3rd ed.). Wiley.	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.
別名	z-test for proportions, two-sample proportion test, one-proportion z-test, Oran Testi — z Testi (Oranlar)	chi-squared test, Pearson's chi-square test, test of independence, ki-kare bağımsızlık testi
関連	4	2
概要	The proportion test (z-test for proportions) is a parametric hypothesis test that compares one or two sample proportions against a reference value or each other. Grounded in the large-sample normal approximation formalized by Fleiss, Levin, and Paik (2003), it is the standard tool for binary outcome comparisons when samples are large enough for the central limit theorem to apply.	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.