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آزمون کیوِ لیانگ-باکس برای خودهمبستگی×آزمون دوربین-واتسون برای خودهمبستگی×
حوزهاقتصادسنجیاقتصادسنجی
خانوادهHypothesis testRegression model
سال پیدایش19781950
پدیدآورGreta Ljung & George BoxJames Durbin & Geoffrey Watson
نوعPortmanteau goodness-of-fit testTest for first-order residual autocorrelation
منبع بنیادینLjung, G. M., & Box, G. E. P. (1978). On a measure of lack of fit in time series models. Biometrika, 65(2), 297–303. DOI ↗Durbin, J., & Watson, G. S. (1950). Testing for serial correlation in least squares regression: I. Biometrika, 37(3/4), 409–428. DOI ↗
نام‌های دیگرLjung-Box Q Test, Modified Box-Pierce Test, Portmanteau Test for Autocorrelation, Otokorelasyon Portmanteau TestiDW test, Durbin-Watson statistic, Durbin-Watson otokorelasyon testi
مرتبط34
خلاصهThe Ljung-Box Q test is a diagnostic portmanteau test proposed by Ljung and Box (1978) to assess whether a group of autocorrelations in a time series residual sequence is jointly zero. It is widely used to evaluate the adequacy of fitted time series models — especially ARIMA models — by testing whether remaining residuals exhibit any systematic pattern. The test is applicable in econometrics, finance, and any field that relies on temporal data modeling.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: Ljung-Box Test · Durbin-Watson Test. بازیابی‌شده در 2026-06-18 از https://scholargate.app/fa/compare