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이표본 콜모고로프-스미르노프 검정×Levene 및 Brown-Forsythe 등분산 검정×
분야통계학통계학
계열Regression modelRegression model
기원 연도19481960
창시자N. V. SmirnovHoward Levene; Morton B. Brown and Alan B. Forsythe
유형Nonparametric two-sample distribution testHomogeneity of variance test (robust)
원전Smirnov, N. V. (1948). Table for Estimating the Goodness of Fit of Empirical Distributions. Annals of Mathematical Statistics, 19(2), 279-281. DOI ↗Levene, H. (1960). Robust Tests for Equality of Variances. In Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling. Stanford University Press. link ↗
별칭KS two-sample test, two-sample KS test, İki Örneklem Kolmogorov-Smirnov TestiLevene test, Brown-Forsythe test, homogeneity of variance test, Levene ve Brown-Forsythe Varyans Testi
관련35
요약The 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.
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