手法を比較

	Levene検定およびBrown-Forsythe検定（分散の等質性）	順列検定（ランダム化検定）
分野	統計学	統計学
系統	Regression model	Regression model
提唱年	1960	2005
提唱者	Howard Levene; Morton B. Brown and Alan B. Forsythe	Good (2005); Edgington & Onghena (2007); resampling tradition
種類	Homogeneity of variance test (robust)	Nonparametric resampling test
原典	Levene, H. (1960). Robust Tests for Equality of Variances. In Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling. Stanford University Press.	Good, P. (2005). Permutation, Parametric and Bootstrap Tests of Hypotheses (3rd ed.). Springer. ISBN: 978-0387202792
別名	Levene test, Brown-Forsythe test, homogeneity of variance test, Levene ve Brown-Forsythe Varyans Testi	randomization test, exact permutation test, re-randomization test, Permütasyon Testi
関連	5	5
概要	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.	The permutation test is a nonparametric resampling procedure that builds the sampling distribution of a test statistic directly from the data by repeatedly shuffling the group labels. Developed in the resampling tradition and treated systematically by Good (2005) and Edgington & Onghena (2007), it requires no parametric distributional assumption and yields an exact p-value.