Publication Type
Journal Article
Version
acceptedVersion
Publication Date
4-2017
Abstract
Granger noncausality in distribution is fundamentally a probabilistic conditional independence notion that can be applied not only to time series data but also to cross-section and panel data. In this paper, we provide a natural definition of structural causality in cross-section and panel data and forge a direct link between Granger (G-) causality and structural causality under a key conditional exogeneity assumption. To put it simply, when structural effects are well defined and identifiable, G-non-causality follows from structural noncausality, and with suitable conditions (e.g., separability or monotonicity), structural causality also implies G-causality. This justifies using tests of G-non-causality to test for structural noncausality under the key conditional exogeneity assumption for both cross-section and panel data. We pay special attention to heterogeneous populations, allowing both structural heterogeneity and distributional heterogeneity. Most of our results are obtained for the general case, without assuming linearity, monotonicity in observables or unobservables, or separability between observed and unobserved variables in the structural relations.
Keywords
Granger causality, Structural causality, Structural heterogeneity, Distributional heterogeneity, Cross-section, Panel data
Discipline
Econometrics
Research Areas
Econometrics
Publication
Econometric Theory
Volume
33
Issue
2
First Page
263
Last Page
291
ISSN
0266-4666
Identifier
10.1017/S0266466616000086
Publisher
Cambridge University Press
Embargo Period
4-24-2017
Citation
LU, Xun; SU, Liangjun; and WHITE, Halbert.
Granger causality and structural causality in cross-section and panel data. (2017). Econometric Theory. 33, (2), 263-291.
Available at: https://ink.library.smu.edu.sg/soe_research/1961
Copyright Owner and License
Authors
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Additional URL
https://doi.org/10.1017/S0266466616000086