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브레우슈-고드프리 LM 검정 (Breusch-Godfrey LM Test for Serial Correlation)×자기상관에 대한 더빈-왓슨 검정×최소제곱법(OLS) 회귀×
분야계량경제학계량경제학계량경제학
계열Regression modelRegression modelRegression model
기원 연도197819502019
창시자Trevor Breusch & Leslie GodfreyJames Durbin & Geoffrey WatsonWooldridge (textbook treatment); classical least squares
유형Lagrange-multiplier test for serial correlationTest for first-order residual autocorrelationLinear regression
원전Godfrey, 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 ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860
별칭BG test, LM test for autocorrelation, Breusch-Godfrey serial correlation test, Breusch-Godfrey otokorelasyon testiDW test, Durbin-Watson statistic, Durbin-Watson otokorelasyon testiordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu
관련345
요약The 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.Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).
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