The analysis begins by using annual data for the US from 1959 to 2003 to examine the macroeconomic relationship between government expenditure on public order and safety, output and investment. In practice, total spending on public order and safety is divided up into four categories (police force, fire service, law courts and prison service) so in the second part of the analysis we test for Gra...

Advance information about an impending stimulus facilitates its subsequent identification and ensuing behavioral responses. This facilitation is thought to be mediated by top-down control signals from frontal and parietal cortex that modulate sensory cortical activity. Here we show, using Granger causality measures on blood oxygen level-dependent time series, that frontal eye field (FEF) and in...

The properties of Granger-causality tests are examined when applied to integrated time series. Recently presented results suggesting spurious causality in such circumstances are shown to be highly dependent upon the absence of deterministic terms from the causality testing equations. The analysis is completed by the examination of an alternative non-parametric causality test.

The paper focuses on establishing causation in regression analysis in observational settings. Simple static regression analysis cannot establish causality in the absence of a priori theory on possible causal mechanisms or controlled and randomized experiments. However, two regression based econometric techniques – instrumental variables and Granger causality can be used to test for causality gi...

We discuss the use of multivariate Granger causality in presence of redundant variables: the application of the standard analysis, in this case, leads to under estimation of causalities. Using the un-normalized version of the causality index, we quantitatively develop the notions of redundancy and synergy in the frame of causality and propose two approaches to group redundant variables: (i) for...

Granger causality analysis (GCA) has been well-established in the brain imaging field. However, the structural underpinnings and functional dynamics of Granger causality remain unclear. In this paper, we present fiber-centered GCA studies on resting state fMRI and natural stimulus fMRI datasets in order to elucidate the structural substrates and functional dynamics of GCA. Specifically, we extr...