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Longitudinal mediation analysis with multilevel and latent growth models: a separable effects causal approach

Authors: Chiara Di Maria; Vanessa Didelez;

Longitudinal mediation analysis with multilevel and latent growth models: a separable effects causal approach

Abstract

Abstract Background Causal mediation analysis is widespread in applied medical research, especially in longitudinal settings. However, estimating natural mediational effects in such contexts is often difficult because of the presence of post-treatment confounding. Moreover, many models frequently used in applied research, like multilevel and latent growth models, present an additional difficulty, i.e. the presence of latent variables. In this paper, we propose a causal interpretation of these two classes of models based on a novel type of causal effects called separable, which overcome some of the issues of natural effects. Methods We formally derive conditions for the identifiability of separable mediational effects and their analytical expressions based on the g-formula. We carry out a simulation study to investigate how moderate and severe model misspecification, as well as violation of the identfiability assumptions, affect estimates. We also present an application to real data. Results The results show how model misspecification impacts the estimates of mediational effects, particularly in the case of severe misspecification, and that the bias worsens over time. The violation of assumptions affects separable effect estimates in a very different way for the mixed effect and the latent growth models. Conclusion Our approach allows us to give multilevel and latent growth models an appealing causal interpretation based on separable effects. The simulation study shows that model misspecification can heavily impact effect estimates, highlighting the importance of careful model choice.

Country
Italy
Keywords

Latent growth models, Multilevel models, Medicine (General), Mediation Analysis, Models, Statistical, Settore STAT-01/A - Statistica, Research, Causal effects, Algorithms [MeSH] ; Humans [MeSH] ; Longitudinal Studies [MeSH] ; Computer Simulation [MeSH] ; Causal Inference and Observational Data ; Mediation Analysis [MeSH] ; Longitudinal mediation analysis ; Latent growth models ; Research ; Models, Statistical [MeSH] ; Causality [MeSH] ; Separable effects ; Multilevel Analysis/methods [MeSH] ; Causal effects ; Multilevel models, Longitudinal mediation analysis; Separable effects; Causal effects; Multilevel models; Latent growth models, Causality, R5-920, Causal effects; Latent growth models; Longitudinal mediation analysis; Multilevel models; Separable effects;, Multilevel Analysis, Humans, Computer Simulation, Longitudinal Studies, Longitudinal mediation analysis, Algorithms, Separable effects

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Top 10%
Average
Average
Green
gold
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