手法を比較

	Granger因果性検定	ベクトル誤差修正モデル（VECM）
分野	計量経済学	計量経済学
系統	Regression model	Regression model
提唱年	1969	1987
提唱者	Clive W. J. Granger	Robert F. Engle and Clive W. J. Granger
種類	Causality test (F-test on VAR)	Multivariate time-series model
原典	Granger, C. W. J. (1969). Investigating Causal Relations by Econometric Models and Cross-spectral Methods. Econometrica, 37(3), 424–438.	Engle, R. F., & Granger, C. W. J. (1987). Co-integration and error correction: Representation, estimation, and testing. Econometrica, 55(2), 251–276.
別名	Granger test, GC test, predictive causality test, Granger non-causality test	VECM, error correction VAR, cointegrated VAR, vector equilibrium correction model
関連	5	5
概要	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.	The Vector Error Correction Model extends the Vector Autoregression (VAR) framework to a system of variables that share one or more long-run equilibrium relationships. It jointly models short-run dynamics and the speed at which each variable corrects back toward equilibrium after a shock, making it the standard tool for analysing cointegrated multivariate time series.