手法を比較

	2標本コルモゴロフ・スミルノフ検定	Levene検定およびBrown-Forsythe検定（分散の等質性）
分野	統計学	統計学
系統	Regression model	Regression model
提唱年	1948	1960
提唱者	N. V. Smirnov	Howard Levene; Morton B. Brown and Alan B. Forsythe
種類	Nonparametric two-sample distribution test	Homogeneity of variance test (robust)
原典	Smirnov, N. V. (1948). Table for Estimating the Goodness of Fit of Empirical Distributions. Annals of Mathematical Statistics, 19(2), 279-281.	Levene, H. (1960). Robust Tests for Equality of Variances. In Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling. Stanford University Press.
別名	KS two-sample test, two-sample KS test, İki Örneklem Kolmogorov-Smirnov Testi	Levene test, Brown-Forsythe test, homogeneity of variance test, Levene ve Brown-Forsythe Varyans Testi
関連	3	5
概要	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.	The Levene and Brown-Forsythe test checks whether two or more groups share the same variance (homogeneity of variance). Levene (1960) built the test on absolute deviations from each group mean, and Brown and Forsythe (1974) made it robust to non-normal data by centring on the group median instead.