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Mediation analysis in recursive systems of distributed-lag linear regressions

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  • Alessandro Magrini

    (University of Florence)

Abstract

Recursive systems of linear regressions is a consolidated methodology for mediation analysis, allowing to determine causal effects of interest in a closed form based on the regression coefficients. In a dynamic perspective, distributed-lags can be added to each regression in order to represent causal effects persisting over several periods. However, mediation analysis in the dynamic case is challenging, because causal effects depend on the time lag, and a general procedure to compute their lag distribution based on the regression coefficients is currently missing. In this paper, we formalize the rules to perform mediation analysis in recursive systems of distributed-lag linear regressions, here called Distributed-lag Linear Recursive Models (DLRMs). Firstly, mediation analysis is based on the Directed Acyclic Graph (DAG) representation of the DLRM, then a DAG-free algorithm is proposed to improve computational efficiency. Our DAG-free algorithm is applied to a DLRM representing the impact pathways of agricultural research expenditure towards poverty reduction in rural areas.

Suggested Citation

  • Alessandro Magrini, 2022. "Mediation analysis in recursive systems of distributed-lag linear regressions," Quality & Quantity: International Journal of Methodology, Springer, vol. 56(3), pages 1535-1555, June.
    • Handle: RePEc:spr:qualqt:v:56:y:2022:i:3:d:10.1007_s11135-021-01194-8
    DOI: 10.1007/s11135-021-01194-8
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    References listed on IDEAS

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    1. Michael Sobel, 1990. "Effect analysis and causation in linear structural equation models," Psychometrika, Springer;The Psychometric Society, vol. 55(3), pages 495-515, September.
    2. Tyler J. VanderWeele & Eric J. Tchetgen Tchetgen, 2017. "Mediation analysis with time varying exposures and mediators," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 79(3), pages 917-938, June.
    3. Alene, Arega D. & Coulibaly, Ousmane, 2009. "The impact of agricultural research on productivity and poverty in sub-Saharan Africa," Food Policy, Elsevier, vol. 34(2), pages 198-209, April.
    4. Soojin Park & Peter M. Steiner & David Kaplan, 2018. "Identification and Sensitivity Analysis for Average Causal Mediation Effects with Time-Varying Treatments and Mediators: Investigating the Underlying Mechanisms of Kindergarten Retention Policy," Psychometrika, Springer;The Psychometric Society, vol. 83(2), pages 298-320, June.
    5. Schmidt, Peter, 1974. "An Argument for the Usefulness of the Gamma Distributed Lag Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(1), pages 246-250, February.
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