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When is the difference method conservative for assessing mediation?

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    The difference method can estimate natural indirect effects (NIE) for continuous outcomes but is conservative for binary outcomes. This method provides evidence for mediation

    Keywords:
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    Area of Science:

    • Epidemiology
    • Causal Inference
    • Biostatistics

    Background:

    • Understanding exposure-outcome mechanisms requires assessing indirect effects.
    • The traditional "difference method" uses regression to estimate indirect effects.
    • This method has faced criticism regarding causal interpretation with logistic regression.

    Purpose of the Study:

    • To define the natural indirect effect (NIE) using the counterfactual framework.
    • To evaluate the relationship between the NIE and the difference method.
    • To clarify the validity of the difference method for mediation analysis.

    Main Methods:

    • Utilized the counterfactual framework to formally define NIE.
    • Analyzed the difference method within this causal inference framework.
    • Investigated the performance of the difference method for continuous and binary outcomes.

    Main Results:

    • The difference method consistently estimates NIE for continuous outcomes under appropriate assumptions.
    • For binary outcomes, the difference method is always conservative.
    • The method can indicate the presence of mediation but not its absence.

    Conclusions:

    • The difference method, when applied correctly, can reliably estimate natural indirect effects for continuous outcomes.
    • For binary outcomes, the difference method provides conservative estimates, suggesting mediation but not definitively ruling it out.
    • This research validates the difference method as a tool for detecting mediation, emphasizing its limitations in proving the absence of mediation.