مقایسهٔ روش‌ها

	آزمون علیت گرنجر فوریه	آزمون ریشه واحد فورייה ADF
حوزه	اقتصادسنجی	اقتصادسنجی
خانواده	Regression model	Regression model
سال پیدایش	2016	2006-2012
پدیدآور	Enders and Jones	Becker, Enders, and Lee; Enders and Lee
نوع	Causality test	Unit root test with smooth structural breaks
منبع بنیادین	Enders, W., & Jones, P. (2016). Grain prices, oil prices, and multiple smooth breaks in a VAR. Studies in Nonlinear Dynamics and Econometrics, 20(4), 399–419.	Becker, R., Enders, W., & Lee, J. (2006). A stationarity test in the presence of an unknown number of smooth breaks. Journal of Time Series Analysis, 27(3), 381-409.
نام‌های دیگر	Fourier Granger causality test, Enders-Jones Granger causality, smooth structural break Granger test, spectral Granger causality	Fourier ADF test, FADF test, Flexible Fourier ADF, Fourier-based ADF unit root test
مرتبط	6	6
خلاصه	The Fourier Granger causality test extends the classic Granger causality framework by embedding low-frequency Fourier terms in the VAR equation, allowing the causal relationship to shift gradually over time without requiring the researcher to pre-specify the number or location of structural breaks.	The Fourier ADF unit root test extends the standard Augmented Dickey-Fuller framework by incorporating low-frequency Fourier terms into the deterministic component. This allows the test to approximate smooth, gradual structural breaks in the level or trend of a time series without requiring prior knowledge of break number, timing, or form.