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क्षेत्रसांख्यिकीसांख्यिकी
परिवारHypothesis testHypothesis test
उद्भव वर्ष19521952
प्रवर्तकBartel Leendert van der WaerdenA. R. Jonckheere and T. J. Terpstra
प्रकारNonparametric k-sample comparison via normal scoresNonparametric trend test
मौलिक स्रोतvan der Waerden, B.L. (1952). Order Tests for the Two-Sample Problem and Their Power. Indagationes Mathematicae, 14, 453–458. link ↗Jonckheere, A. R. (1954). A distribution-free k-sample test against ordered alternatives. Biometrika, 41(1-2), 133–145. DOI ↗
उपनामnormal scores test, Van der Waerden k-sample test, Van der Waerden Testi — Normal SkorJonckheere-Terpstra Testi, JT test, ordered k-sample test, trend test for ordered groups
संबंधित65
सारांशThe 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 Jonckheere-Terpstra test is a nonparametric hypothesis test that detects a monotone trend across k ordered groups — testing whether the outcome rises (or falls) systematically as the group order increases. Developed independently by T. J. Terpstra (1952) and A. R. Jonckheere (1954), it is the directional, ordered-alternative counterpart to the Kruskal-Wallis test.
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