So sánh phương pháp

	Kiểm định nhân quả Toda-Yamamoto	Mô hình Tự hồi quy Vector (VAR)
Lĩnh vực	Kinh tế lượng	Kinh tế lượng
Họ	Regression model	Regression model
Năm ra đời	1995	1980
Người khởi xướng	Toda, H. Y. and Yamamoto, T.	Christopher A. Sims
Loại	Causality test	Multivariate time-series model
Công trình gốc	Toda, H. Y., & Yamamoto, T. (1995). Statistical inference in vector autoregressions with possibly integrated processes. Journal of Econometrics, 66(1-2), 225-250.	Sims, C. A. (1980). Macroeconomics and Reality. Econometrica, 48(1), 1–48.
Tên gọi khác	Toda-Yamamoto test, TY causality test, modified Wald test for Granger causality, TY-MWALD	VAR, VAR model, vector autoregressive model, multivariate autoregression
Liên quan	5	5
Tóm tắt	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.	Vector Autoregression is a multivariate time-series model in which each variable is regressed on its own lags and the lags of all other variables in the system. Originally proposed by Sims (1980) as a data-driven alternative to large structural macroeconomic models, VAR has become the standard workhorse for dynamic analysis in empirical economics and finance.