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حوزهآمارآمار
خانوادهHypothesis testHypothesis test
سال پیدایش19521960
پدیدآورBartel Leendert van der WaerdenSidney Siegel & John W. Tukey
نوعNonparametric k-sample comparison via normal scoresNonparametric scale comparison
منبع بنیادینvan der Waerden, B.L. (1952). Order Tests for the Two-Sample Problem and Their Power. Indagationes Mathematicae, 14, 453–458. link ↗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. DOI ↗
نام‌های دیگرnormal scores test, Van der Waerden k-sample test, Van der Waerden Testi — Normal SkorSiegel-Tukey rank test, nonparametric scale test, Siegel-Tukey Testi — Ölçek Farklılığı
مرتبط62
خلاصهThe 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 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.
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ScholarGateمقایسهٔ روش‌ها: Van der Waerden Test · Siegel-Tukey test. بازیابی‌شده در 2026-06-19 از https://scholargate.app/fa/compare