手法を比較

	Granger因果性検定	共和分検定（ヨハンセン／エングル・グレンジャー法）	ベクトル自己回帰（VAR）モデル
分野	計量経済学	計量経済学	計量経済学
系統	Regression model	Regression model	Regression model
提唱年	1969	1988	2005
提唱者	Clive W. J. Granger	Engle & Granger (1987); Johansen (1988)	Lütkepohl (textbook treatment); Sims (1980) macroeconometric tradition
種類	Time-series predictive causality test	Time-series cointegration test	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.	Johansen, S. (1988). Statistical Analysis of Cointegration Vectors. Journal of Economic Dynamics and Control, 12(2-3), 231-254.	Lütkepohl, H. (2005). New Introduction to Multiple Time Series Analysis. Springer.
別名	Granger causality test, Granger non-causality test, predictive causality test, Granger Nedensellik Testi	Johansen cointegration test, Engle-Granger cointegration test, long-run equilibrium test, Eşbütünleşme Testi (Johansen/Engle-Granger)	vector autoregression, VAR, VAR Modeli (Vektör Otoregresyon), vektör otoregresyon
関連	5	5	4
概要	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.	The cointegration test examines whether non-stationary time series that each contain a unit root share a stable long-run equilibrium relationship. The single-equation residual approach was introduced by Engle and Granger (1987) and the system-based rank approach by Johansen (1988).	Vector Autoregression is a multivariate time-series model that treats several interdependent series symmetrically, letting each variable depend on its own past values and the past values of all the others. It is the standard tool for capturing mutual causality and joint dynamics, developed in the modern multiple-time-series tradition treated by Lütkepohl (2005).