| GrangerTest {MTS} | R Documentation | 
Granger Causality Test
Description
Performs Granger causality test using a vector autoregressive model
Usage
GrangerTest(X,p=1,include.mean=T,locInput=c(1))
Arguments
| X | a T-by-p data matrix with T denoting sample size and p the number of variables | 
| p | vector AR order. | 
| include.mean | Indicator for including a constant in the model. Default is TRUE. | 
| locInput | Locators for the input variables in the data matrix. Default is the first column being the input variable. Multiple inputs are allowed. | 
Details
Perform VAR(p) and constrained VAR(p) estimations to test the Granger causality. It uses likelihood ratio and asymptotic chi-square.
Value
| data | Original data matrix | 
| cnst | logical variable to include a constant in the model | 
| order | order of VAR model used | 
| coef | Coefficient estimates | 
| constraints | Implied constraints of Granger causality | 
| aic,bic,hq | values of information criteria | 
| residuals | residual vector | 
| secoef | standard errors of coefficient estimates | 
| Sigma | Residual covariance matrix | 
| Phi | Matrix of VAR coefficients | 
| Ph0 | constant vector | 
| omega | Estimates of constrained coefficients | 
| covomega | covariance matrix of constrained parameters | 
| locInput | Locator vector for input variables | 
Author(s)
Ruey S. Tsay
References
Tsay (2014, Chapter 2)