Methoden vergleichen

	Van-der-Waerden-Test mit Normalscores	Der Mann-Whitney-U-Test
Fachgebiet	Statistik	Statistik
Familie	Hypothesis test	Hypothesis test
Entstehungsjahr	1952	1947
Urheber	Bartel Leendert van der Waerden	H. B. Mann & D. R. Whitney
Typ	Nonparametric k-sample comparison via normal scores	Nonparametric two-group comparison
Wegweisende Quelle	van der Waerden, B.L. (1952). Order Tests for the Two-Sample Problem and Their Power. Indagationes Mathematicae, 14, 453–458.	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	normal scores test, Van der Waerden k-sample test, Van der Waerden Testi — Normal Skor	Mann-Whitney-Wilcoxon test, Wilcoxon rank-sum test, Mann-Whitney U Testi
Verwandt	6	4
Zusammenfassung	The Van der Waerden test is a nonparametric k-sample hypothesis test that converts observations into normal scores — the quantiles of a standard normal distribution — before comparing groups. Introduced by Bartel Leendert van der Waerden in 1952, it can achieve higher statistical power than the Kruskal-Wallis test when the underlying distributions are symmetric, making it a compelling bridge between rank-based and parametric methods.	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.