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آزمون رانز والد-ولفوویتز (Wald-Wolfowitz Runs Test)×آزمون دوربین-واتسون برای خودهمبستگی×
حوزهآماراقتصادسنجی
خانوادهHypothesis testRegression model
سال پیدایش19401950
پدیدآورAbraham Wald & Jacob WolfowitzJames Durbin & Geoffrey Watson
نوعNonparametric randomness testTest for first-order residual autocorrelation
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 ↗Durbin, J., & Watson, G. S. (1950). Testing for serial correlation in least squares regression: I. Biometrika, 37(3/4), 409–428. DOI ↗
نام‌های دیگرWald-Wolfowitz test, runs test for randomness, Runs Testi (Wald-Wolfowitz)DW test, Durbin-Watson statistic, Durbin-Watson otokorelasyon testi
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 Durbin-Watson test, developed by James Durbin and Geoffrey Watson in 1950–1951, detects first-order serial correlation in the residuals of a linear regression. Its statistic ranges from 0 to 4, with a value near 2 indicating no autocorrelation, values toward 0 indicating positive autocorrelation, and values toward 4 indicating negative autocorrelation. It remains one of the most reported regression diagnostics despite well-known limitations.
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ScholarGateمقایسهٔ روش‌ها: Runs Test · Durbin-Watson Test. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare