Methoden vergleichen

	Siegel-Tukey-Test auf Skalenunterschiede	Fligner-Killeen-Test auf Varianzhomogenität	Der Mann-Whitney-U-Test
Fachgebiet	Statistik	Statistik	Statistik
Familie	Hypothesis test	Regression model	Hypothesis test
Entstehungsjahr	1960	1976	1947
Urheber	Sidney Siegel & John W. Tukey	Michael A. Fligner & Timothy J. Killeen	H. B. Mann & D. R. Whitney
Typ	Nonparametric scale comparison	Rank-based test for homogeneity of variances	Nonparametric two-group comparison
Wegweisende Quelle	Siegel, S. & Tukey, J. W. (1960). A Nonparametric Sum of Ranks Procedure for Relative Spread in Unpaired Samples. Journal of the American Statistical Association, 55(291), 429–444.	Fligner, M. A., & Killeen, T. J. (1976). Distribution-Free Two-Sample Tests for Scale. Journal of the American Statistical Association, 71(353), 210-213.	Mann, H. B. & Whitney, D. R. (1947). On a test of whether one of two random variables is stochastically larger than the other. Annals of Mathematical Statistics, 18(1), 50–60.
Aliasnamen	Siegel-Tukey rank test, nonparametric scale test, Siegel-Tukey Testi — Ölçek Farklılığı	Fligner-Killeen test of variance homogeneity, rank-based variance homogeneity test, Fligner-Killeen Varyans Homojenliği Testi	Mann-Whitney-Wilcoxon test, Wilcoxon rank-sum test, Mann-Whitney U Testi
Verwandt	2	5	4
Zusammenfassung	The Siegel-Tukey test is a nonparametric hypothesis test that detects differences in variability (spread) between two independent groups whose central tendencies are equal or have been equalised. Introduced by Sidney Siegel and John W. Tukey in 1960, it is the nonparametric counterpart of Levene's test and requires no assumption of normality.	The Fligner-Killeen test is a rank-based test that checks whether several independent groups share the same variance (scale). Introduced by Fligner and Killeen in 1976, it does not require the data to be normally distributed, making it a robust nonparametric alternative to the Levene and Bartlett tests.	The Mann-Whitney U test is the nonparametric alternative to the independent samples t-test, comparing two independent groups by ranking all observations together rather than relying on their means. It was introduced by H. B. Mann and D. R. Whitney in 1947 and does not require the data to be normally distributed.