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Ljung-Box Q 검정 (Ljung-Box Q Test for Autocorrelation)×ARIMA (Autoregressive Integrated Moving Average) 모형×자기상관에 대한 더빈-왓슨 검정×
분야계량경제학계량경제학계량경제학
계열Hypothesis testRegression modelRegression model
기원 연도197820151950
창시자Greta Ljung & George BoxBox & Jenkins (Box-Jenkins methodology)James Durbin & Geoffrey Watson
유형Portmanteau goodness-of-fit testUnivariate time-series modelTest for first-order residual autocorrelation
원전Ljung, G. M., & Box, G. E. P. (1978). On a measure of lack of fit in time series models. Biometrika, 65(2), 297–303. DOI ↗Box, G. E. P., Jenkins, G. M., Reinsel, G. C. & Ljung, G. M. (2015). Time Series Analysis: Forecasting and Control (5th ed.). Wiley. ISBN: 978-1118675021Durbin, J., & Watson, G. S. (1950). Testing for serial correlation in least squares regression: I. Biometrika, 37(3/4), 409–428. DOI ↗
별칭Ljung-Box Q Test, Modified Box-Pierce Test, Portmanteau Test for Autocorrelation, Otokorelasyon Portmanteau TestiBox-Jenkins model, ARIMA(p,d,q), ARIMA ModeliDW test, Durbin-Watson statistic, Durbin-Watson otokorelasyon testi
관련354
요약The 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.ARIMA is a univariate time-series forecasting model that combines autoregressive, integrated (differencing), and moving-average components to predict a single continuous series from its own past. It is the centrepiece of the Box-Jenkins methodology set out in Box, Jenkins, Reinsel & Ljung's Time Series Analysis (5th ed., 2015).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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