Σύγκριση μεθόδων

	Δοκιμή Αιτιότητας Toda-Yamamoto	Έλεγχος Αιτιότητας Granger
Πεδίο	Οικονομετρία	Οικονομετρία
Οικογένεια	Regression model	Regression model
Έτος προέλευσης	1995	1969
Δημιουργός	Toda, H. Y. and Yamamoto, T.	Clive W. J. Granger
Τύπος	Causality test	Causality test (F-test on VAR)
Θεμελιώδης πηγή	Toda, H. Y., & Yamamoto, T. (1995). Statistical inference in vector autoregressions with possibly integrated processes. Journal of Econometrics, 66(1-2), 225-250.	Granger, C. W. J. (1969). Investigating Causal Relations by Econometric Models and Cross-spectral Methods. Econometrica, 37(3), 424–438.
Εναλλακτικές ονομασίες	Toda-Yamamoto test, TY causality test, modified Wald test for Granger causality, TY-MWALD	Granger test, GC test, predictive causality test, Granger non-causality test
Συναφείς	5	5
Σύνοψη	The Toda-Yamamoto (TY) causality test is a modified Wald procedure for testing Granger causality in vector autoregressions (VARs) estimated in levels, even when variables are nonstationary or cointegrated. By intentionally over-fitting the VAR with extra lags equal to the maximum integration order, it restores the standard chi-squared asymptotic distribution of the Wald statistic without requiring prior unit-root or cointegration pretesting.	The Granger causality test is a statistical hypothesis test that determines whether past values of one time series help predict future values of another, beyond what that series' own past already explains. Introduced by Clive Granger in 1969, it is the standard approach for assessing predictive causality in VAR-based time-series analysis.