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Erschienen in: Prevention Science 3/2019

01.06.2018

Granger Causality Testing with Intensive Longitudinal Data

verfasst von: Peter C. M. Molenaar

Erschienen in: Prevention Science | Ausgabe 3/2019

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Abstract

The availability of intensive longitudinal data obtained by means of ambulatory assessment opens up new prospects for prevention research in that it allows the derivation of subject-specific dynamic networks of interacting variables by means of vector autoregressive (VAR) modeling. The dynamic networks thus obtained can be subjected to Granger causality testing in order to identify causal relations among the observed time-dependent variables. VARs have two equivalent representations: standard and structural. Results obtained with Granger causality testing depend upon which representation is chosen, yet no criteria exist on which this important choice can be based. A new equivalent representation is introduced called hybrid VARs with which the best representation can be chosen in a data-driven way. Partial directed coherence, a frequency-domain statistic for Granger causality testing, is shown to perform optimally when based on hybrid VARs. An application to real data is provided.
Fußnoten
1
I thank an anonymous reviewer for pointing out the distinctions between networks.
 
2
Thanks are due to Dr. Matthew Goodwin, Northeastern University, for allowing to use this data.
 
Literatur
Zurück zum Zitat Barnett, L., & Seth, A.K. (2014). The MVGC multivariate Granger causality toolbox: A new approach to Granger-causal inferemve. Journal of Neuroscience Methods, 223, 50–68. Barnett, L., & Seth, A.K. (2014). The MVGC multivariate Granger causality toolbox: A new approach to Granger-causal inferemve. Journal of Neuroscience Methods, 223, 50–68.
Zurück zum Zitat Brillinger, D. R. (1975). Time series: Data analysis and theory. New York: Holt, Rinehart & Winston. Brillinger, D. R. (1975). Time series: Data analysis and theory. New York: Holt, Rinehart & Winston.
Zurück zum Zitat Gates, K.M., Molenaar, P.C.M., Hillary, F.G., & Slobounov, S. (2011). Extended unified SEM approach for modeling event-related fMRI data. NeuroImage, 54, 1151–1158. Gates, K.M., Molenaar, P.C.M., Hillary, F.G., & Slobounov, S. (2011). Extended unified SEM approach for modeling event-related fMRI data. NeuroImage, 54, 1151–1158.
Zurück zum Zitat Lütkepohl, H. (2007). New introduction to multiple time series analysis. Berlin: Springer-Verlag. Lütkepohl, H. (2007). New introduction to multiple time series analysis. Berlin: Springer-Verlag.
Zurück zum Zitat Molenaar, P. C. M., & Lo, L. L. (2016). Alternative forms of Granger causality, heterogeneity and nonstationarity. In W. Wiedermann & A. von Eye (Eds.), Statistics and causality: Methods for applied empirical research (pp. 205–229). Hoboken: Wiley. Molenaar, P. C. M., & Lo, L. L. (2016). Alternative forms of Granger causality, heterogeneity and nonstationarity. In W. Wiedermann & A. von Eye (Eds.), Statistics and causality: Methods for applied empirical research (pp. 205–229). Hoboken: Wiley.
Zurück zum Zitat Pearl, J. (2000). Causality: Models, reasoning and inference. Cambridge: Cambridge University Press. Pearl, J. (2000). Causality: Models, reasoning and inference. Cambridge: Cambridge University Press.
Zurück zum Zitat Schlögl, A., & Supp, G. (2006). Analyzing event-related EEG data with multivariate autoregressive parameters. In C. Neuper & W. Klimesch (Eds.), Event-related dynamics of brain oscillations. Progress in brain research 159 (pp. 135–147). Amsterdam: Elsevier.CrossRef Schlögl, A., & Supp, G. (2006). Analyzing event-related EEG data with multivariate autoregressive parameters. In C. Neuper & W. Klimesch (Eds.), Event-related dynamics of brain oscillations. Progress in brain research 159 (pp. 135–147). Amsterdam: Elsevier.CrossRef
Zurück zum Zitat White, H., Chalak, K., & Lu, X. (2013). Linking Granger causality and the Pearl causal model with settable systems. In F. Popescu & I. Guyon (Eds.), Causality in time series. Challenges in machine learning 5 (pp. 107–137). Brookline: Microtome Publishing. White, H., Chalak, K., & Lu, X. (2013). Linking Granger causality and the Pearl causal model with settable systems. In F. Popescu & I. Guyon (Eds.), Causality in time series. Challenges in machine learning 5 (pp. 107–137). Brookline: Microtome Publishing.
Metadaten
Titel
Granger Causality Testing with Intensive Longitudinal Data
verfasst von
Peter C. M. Molenaar
Publikationsdatum
01.06.2018
Verlag
Springer US
Erschienen in
Prevention Science / Ausgabe 3/2019
Print ISSN: 1389-4986
Elektronische ISSN: 1573-6695
DOI
https://doi.org/10.1007/s11121-018-0919-0

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