手法を比較

	コルモゴロフ-スミルノフ検定 (Kolmogorov-Smirnov Test)	2標本コルモゴロフ・スミルノフ検定
分野	統計学	統計学
系統	Hypothesis test	Regression model
提唱年	1933	1948
提唱者	Andrey Nikolaevich Kolmogorov; Nikolai Vasilyevich Smirnov	N. V. Smirnov
種類	Nonparametric goodness-of-fit test	Nonparametric two-sample distribution test
原典	Kolmogorov, A. N. (1933). Sulla determinazione empirica di una legge di distribuzione. Giornale dell'Istituto Italiano degli Attuari, 4, 83–91.	Smirnov, N. V. (1948). Table for Estimating the Goodness of Fit of Empirical Distributions. Annals of Mathematical Statistics, 19(2), 279-281.
別名	KS test, K-S test, one-sample KS test, Kolmogorov-Smirnov Testi	KS two-sample test, two-sample KS test, İki Örneklem Kolmogorov-Smirnov Testi
関連	2	3
概要	The Kolmogorov-Smirnov (KS) test is a nonparametric goodness-of-fit test that assesses whether a sample comes from a specified theoretical distribution, such as the normal or exponential. First formalised by Andrey Kolmogorov in 1933 and further developed by Nikolai Smirnov in 1948, it compares the empirical cumulative distribution function of the observed data against a target theoretical CDF and quantifies their maximum absolute deviation.	The two-sample Kolmogorov-Smirnov test is a nonparametric procedure that asks whether two independent groups are drawn from the same continuous distribution. Building on Smirnov's 1948 tables, it compares the empirical cumulative distribution functions (CDFs) of the two samples and uses their maximum absolute distance as the test statistic.