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| Тест на нормалните стойности на Ван дер Варден× | U-тест на Ман-Уитни× | |
|---|---|---|
| Област | Статистика | Статистика |
| Семейство | Hypothesis test | Hypothesis test |
| Година на възникване≠ | 1952 | 1947 |
| Създател≠ | Bartel Leendert van der Waerden | H. B. Mann & D. R. Whitney |
| Тип≠ | Nonparametric k-sample comparison via normal scores | Nonparametric two-group comparison |
| Основополагащ източник≠ | van der Waerden, B.L. (1952). Order Tests for the Two-Sample Problem and Their Power. Indagationes Mathematicae, 14, 453–458. link ↗ | 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. DOI ↗ |
| Други названия | 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 |
| Свързани≠ | 6 | 4 |
| Резюме≠ | 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. |
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