Σύγκριση μεθόδων

	Έλεγχος Levene και Brown-Forsythe για την Ισότητα των Διακυμάνσεων	Δοκιμή Μετάθεσης (Τυχαιοποίησης)
Πεδίο	Στατιστική	Στατιστική
Οικογένεια	Regression model	Regression model
Έτος προέλευσης	1960	2005
Δημιουργός	Howard Levene; Morton B. Brown and Alan B. Forsythe	Good (2005); Edgington & Onghena (2007); resampling tradition
Τύπος	Homogeneity of variance test (robust)	Nonparametric resampling test
Θεμελιώδης πηγή	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
Εναλλακτικές ονομασίες	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
Συναφείς	5	5
Σύνοψη	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.