Granger-Causal-Priority and Choice of Variables in Vector Autoregressions
56 Pages Posted: 8 Nov 2013
Date Written: October 15, 2013
A researcher is interested in a set of variables that he wants to model with a vector auto-regression and he has a dataset with more variables. Which variables from the dataset to include in the VAR, in addition to the variables of interest? This question arises in many applications of VARs, in prediction and impulse response analysis. We develop a Bayesian methodology to answer this question. We rely on the idea of Granger-causal-priority, related to the well-known concept of Granger-non-causality. The methodology is simple to use, because we provide closed-form expressions for the relevant posterior probabilities. Applying the methodology to the case when the variables of interest are output, the price level, and the short-term interest rate, we find remarkably similar results for the United States and the euro area.
Keywords: Vector autoregression, structural vector autoregression, Granger-causalpriority, Granger-noncausality, Bayesian model choice
JEL Classification: C32, C52, E32
Suggested Citation: Suggested Citation