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반 데르 바르덴 정규 점수 검정×Siegel-Tukey 척도 차이 검정×
분야통계학통계학
계열Hypothesis testHypothesis test
기원 연도19521960
창시자Bartel Leendert van der WaerdenSidney Siegel & John W. Tukey
유형Nonparametric k-sample comparison via normal scoresNonparametric scale comparison
원전van 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 ↗
별칭normal 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
관련62
요약The 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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