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| Ujian DF-GLS: Ujian Punca Unit Dickey-Fuller yang Diturunkan GLS× | Ujian Punca Unit Augmented Dickey-Fuller (ADF)× | Ujian Stasioneriti KPSS× | |
|---|---|---|---|
| Bidang | Ekonometrik | Ekonometrik | Ekonometrik |
| Keluarga≠ | Hypothesis test | Regression model | Regression model |
| Tahun asal≠ | 1996 | 1979 | 1992 |
| Pengasas≠ | Elliott, Rothenberg & Stock | David A. Dickey & Wayne A. Fuller | Kwiatkowski, Phillips, Schmidt & Shin |
| Jenis≠ | One-sided t-test on GLS-detrended series | Unit-root test for stationarity | Stationarity test (reverse of unit-root tests) |
| Sumber perintis≠ | Elliott, G., Rothenberg, T. J., & Stock, J. H. (1996). Efficient tests for an autoregressive unit root. Econometrica, 64(4), 813–836. DOI ↗ | Dickey, D. A., & Fuller, W. A. (1979). Distribution of the estimators for autoregressive time series with a unit root. Journal of the American Statistical Association, 74(366a), 427–431. DOI ↗ | Kwiatkowski, D., Phillips, P. C. B., Schmidt, P., & Shin, Y. (1992). Testing the null hypothesis of stationarity against the alternative of a unit root. Journal of Econometrics, 54(1–3), 159–178. DOI ↗ |
| Alias≠ | Elliott-Rothenberg-Stock test, ERS unit-root test, GLS-detrended Dickey-Fuller test, DF-GLS birim kök testi | ADF test, Dickey-Fuller test, unit root test, Genişletilmiş Dickey-Fuller testi | Kwiatkowski-Phillips-Schmidt-Shin test, stationarity test, KPSS durağanlık testi |
| Berkaitan≠ | 3 | 4 | 4 |
| Ringkasan≠ | The DF-GLS test, introduced by Elliott, Rothenberg, and Stock (1996), is a modified augmented Dickey-Fuller procedure that applies generalized least squares (GLS) detrending before the standard unit-root regression. By removing deterministic components under a local alternative rather than the null hypothesis, the test achieves near-optimal power for detecting stationarity in time series, making it the preferred unit-root test in applied econometrics when a trend or intercept is present. | The Augmented Dickey-Fuller (ADF) test is the most widely used test for a unit root — that is, for whether a time series is non-stationary and must be differenced before modelling. Introduced by David Dickey and Wayne Fuller in 1979 and extended by Said and Dickey in 1984 to series with higher-order autocorrelation, it regresses the change in the series on its lagged level plus lagged differences and asks whether the lagged-level coefficient is zero. | The KPSS test, introduced by Kwiatkowski, Phillips, Schmidt and Shin in 1992, tests the null hypothesis that a series is stationary against the alternative that it contains a unit root — the reverse of the ADF and Phillips-Perron tests. By flipping the burden of proof, it is designed to be used alongside unit-root tests so that the two can confirm one another and expose ambiguous, borderline cases. |
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