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آزمون رانز والد-ولفوویتز (Wald-Wolfowitz Runs Test)×آزمون علامت (Sign Test)×
حوزهآمارآمار
خانوادهHypothesis testHypothesis test
سال پیدایش19401946
پدیدآورAbraham Wald & Jacob WolfowitzW. J. Dixon & A. M. Mood
نوعNonparametric randomness testNonparametric median test
منبع بنیادینWald, A. & Wolfowitz, J. (1940). On a test whether two samples are from the same population. Annals of Mathematical Statistics, 11(2), 147–162. DOI ↗Dixon, W. J. & Mood, A. M. (1946). The statistical sign test. Journal of the American Statistical Association, 41(236), 557–566. DOI ↗
نام‌های دیگرWald-Wolfowitz test, runs test for randomness, Runs Testi (Wald-Wolfowitz)İşaret Testi (Sign Test), one-sample sign test, paired sign test
مرتبط54
خلاصهThe Wald-Wolfowitz runs test is a nonparametric hypothesis test that determines whether a sequence of observations — coded as a series of binary symbols — follows a random pattern or contains systematic structure. Introduced by Abraham Wald and Jacob Wolfowitz in 1940, the test counts the number of uninterrupted runs of identical symbols and asks whether that count is consistent with random arrangement.The sign test is the simplest nonparametric hypothesis test for deciding whether the median of paired differences — or of a single sample — differs significantly from a hypothesised value. Formalised by W. J. Dixon and A. M. Mood in 1946, it imposes virtually no distributional assumptions and can be applied to any data where individual differences can be classified as positive or negative.
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ScholarGateمقایسهٔ روش‌ها: Runs Test · Sign Test. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare