Linganisha mbinu

	Jaribio la Uasababishi la Granger la Dolado-Lütkepohl	Kipimo cha Granger Causality
Nyanja	Ekonometriki	Ekonometriki
Familia	Hypothesis test	Regression model
Mwaka wa asili	1996	1969
Mwanzilishi	Juan Dolado & Helmut Lütkepohl	Clive W. J. Granger
Aina	Modified Wald test for Granger causality in possibly integrated or cointegrated VAR systems	Time-series predictive causality test
Chanzo asilia	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.
Majina mbadala	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
Zinazohusiana	2	5
Muhtasari	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.