Σύγκριση μεθόδων

	Έλεγχος Αιτιότητας Granger Dolado-Lütkepohl	Δοκιμή Αιτιότητας Granger
Πεδίο	Οικονομετρία	Οικονομετρία
Οικογένεια	Hypothesis test	Regression model
Έτος προέλευσης	1996	1969
Δημιουργός	Juan Dolado & Helmut Lütkepohl	Clive W. J. Granger
Τύπος	Modified Wald test for Granger causality in possibly integrated or cointegrated VAR systems	Time-series predictive causality test
Θεμελιώδης πηγή	Dolado, J. J., & Lütkepohl, H. (1996). Making Wald tests work for cointegrated VAR systems. Econometric Reviews, 15(4), 369–386.	Granger, C. W. J. (1969). Investigating Causal Relations by Econometric Models and Cross-spectral Methods. Econometrica, 37(3), 424-438.
Εναλλακτικές ονομασίες	DL Causality Test, Modified Wald Causality Test, Augmented VAR Causality Test, Dolado-Lütkepohl Testi	Granger causality test, Granger non-causality test, predictive causality test, Granger Nedensellik Testi
Συναφείς	2	5
Σύνοψη	The Dolado-Lütkepohl (DL) test, introduced by Dolado and Lütkepohl (1996), is a modified Wald procedure for testing Granger causality in vector autoregressive (VAR) systems whose variables may be integrated or cointegrated. By fitting a VAR of slightly higher order than necessary and restricting the Wald statistic to the first p lag blocks, the test recovers the standard chi-squared limiting distribution without requiring pre-testing for cointegration or transformation to error-correction form.	The Granger causality test, introduced by Clive W. J. Granger in 1969, assesses whether the past values of one time series help predict another beyond what the latter's own past already explains. It defines causality in a strictly predictive sense rather than as a structural or physical cause.