方法对比

	Mood's Median Test	Levene 和 Brown-Forsythe 方差齐性检验
领域	统计学	统计学
方法族	Regression model	Regression model
起源年份	1954	1960
提出者	A. M. Mood	Howard Levene; Morton B. Brown and Alan B. Forsythe
类型	Nonparametric median comparison	Homogeneity of variance test (robust)
开创性文献	Mood, A. M. (1954). On the Asymptotic Efficiency of Certain Nonparametric Two-Sample Tests. Annals of Mathematical Statistics, 25(3), 514-522.	Levene, H. (1960). Robust Tests for Equality of Variances. In Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling. Stanford University Press.
别名	median test, Brown-Mood median test, Mood Medyan Testi	Levene test, Brown-Forsythe test, homogeneity of variance test, Levene ve Brown-Forsythe Varyans Testi
相关	3	5
摘要	Mood's median test is a nonparametric procedure that compares the medians of k independent groups by counting how many observations in each group fall above and below the pooled (grand) median, then applying a chi-square test to the resulting 2×k contingency table. It traces to A. M. Mood's 1954 work on nonparametric two-sample tests.	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.