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ब्रेउश-गॉडफ्रे एलएम टेस्ट (Breusch-Godfrey LM Test) फॉर सीरियल कोरिलेशन×डर्बिन-वॉटसन परीक्षण (Durbin-Watson Test) स्वत: सहसंबंध (Autocorrelation) के लिए×
क्षेत्रअर्थमितिअर्थमिति
परिवारRegression modelRegression model
उद्भव वर्ष19781950
प्रवर्तकTrevor Breusch & Leslie GodfreyJames Durbin & Geoffrey Watson
प्रकारLagrange-multiplier test for serial correlationTest for first-order residual autocorrelation
मौलिक स्रोतGodfrey, L. G. (1978). Testing against general autoregressive and moving average error models when the regressors include lagged dependent variables. Econometrica, 46(6), 1293–1301. DOI ↗Durbin, J., & Watson, G. S. (1950). Testing for serial correlation in least squares regression: I. Biometrika, 37(3/4), 409–428. DOI ↗
उपनामBG test, LM test for autocorrelation, Breusch-Godfrey serial correlation test, Breusch-Godfrey otokorelasyon testiDW test, Durbin-Watson statistic, Durbin-Watson otokorelasyon testi
संबंधित34
सारांशThe Breusch-Godfrey test is a Lagrange-multiplier test for serial correlation in regression residuals, developed independently by Trevor Breusch (1978) and Leslie Godfrey (1978). Unlike the Durbin-Watson test, it detects autocorrelation up to any chosen order p, remains valid when the model includes lagged dependent variables, and produces a definite chi-square p-value rather than an inconclusive region — making it the modern standard for autocorrelation testing.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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