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Strategies for Assessing and Addressing Confounding01:25

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Confounding is a critical issue in epidemiological studies, often leading to misleading conclusions about associations between exposures and outcomes. It occurs when the relationship between the exposure and the outcome is mixed with the effects of other factors that influence the outcome. Given that, addressing confounding is of high importance for drawing accurate inferences in research.
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Confounding in Epidemiological Studies01:27

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Confounding in statistical epidemiology represents a pivotal challenge, referring to the distortion in the perceived relationship between an exposure and an outcome due to the presence of a third variable, known as a confounder. This variable is associated with both the exposure and the outcome but is not a direct link in their causal chain. Its presence can lead to erroneous interpretations of the exposure's effect, either exaggerating or underestimating the true association. This...
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The Intermediate Value Theorem01:25

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The Intermediate Value Theorem is a foundational result in calculus that guarantees the existence of solutions within certain intervals for continuous functions. Formally, the Intermediate Value Theorem states that if a function f is continuous on the closed interval [a, b], and if N is any value between f(a) and f(b), then there exists at least one c ∈ (a, b) such that f(c) = N. This theorem is instrumental in proving the existence of roots and in analyzing the behavior of continuous...
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Intermediate filaments (IFs) do not undergo spontaneous disassembly. Enzymes, kinases, and phosphatases add and remove phosphates from specific sites to regulate their disassembly. The IF concentration in the cytoplasm also regulates the disassembly. If the concentration crosses a threshold, it activates the protein kinases in the vicinity, allowing the phosphorylation of IFs.
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The intermediate filaments are an essential component of the cytoskeleton. Presently six types of intermediate filament have been identified. Type I and II are acidic and basic keratin proteins. Type III is of mesodermal origin and comprises four proteins: vimentin, desmin, glial fibrillary acidic protein (GFAP), and peripherin. Vimentin is commonly found in mesenchymal cells, desmin in muscle cells, GFAP in astrocytes, while peripherin is found in peripheral nervous system neurons (PNS). Type...
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Intermediate filaments are cytoskeletal proteins with higher tensile strength and flexibility than microfilaments and microtubules. Unlike the other two cytoskeletal proteins, intermediate filament formation lacks the enzymatic activity to hydrolyze nucleotides like ATP and GTP to generate energy for polymerization. Therefore, the formation of intermediate filaments is multistep self-assembly. The involvement of any accessory proteins in intermediate filament formation has not yet been...
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Recanting Twins: Addressing Intermediate Confounding in Mediation Analysis.

Tat-Thang Vo1, Nicholas Williams2, Richard Liu3

  • 1Research Group EPIDERME, Institute Mondor of Biomedical Research, INSERM U955, University Paris Est Créteil, Créteil, France.

Statistics in Medicine
|February 5, 2026
PubMed
Summary
This summary is machine-generated.

Intermediate confounders challenge causal mediation analysis. This study introduces "recanting twin effects" as a robust alternative, enabling accurate path-specific effect estimation even with complex confounding. This advances causal inference methods.

Keywords:
intermediate confoundingmediation analysispath‐specific effectsrecanting witnesssemiparametric theory

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Area of Science:

  • Causal Inference
  • Mediation Analysis
  • Epidemiology

Background:

  • Intermediate confounders, or "recanting witnesses," pose a significant challenge in mediation analysis, hindering the identification of natural path-specific effects.
  • Existing alternatives like randomizational interventional effects may yield misleading results, showing effects even without true mediation.

Purpose of the Study:

  • To formally develop "recanting twin effects" as a viable alternative to natural effects in mediation analysis under intermediate confounding.
  • To provide tools for testing intermediate confounding and interpreting new causal parameters.

Main Methods:

  • Proposed a falsification procedure to detect intermediate confounding.
  • Demonstrated the equivalence of recanting twin effects and natural effects in the absence of intermediate confounding.
  • Developed non-parametric efficiency theory, including efficiency bounds and efficient estimators for high-dimensional confounders using data-adaptive methods.

Main Results:

  • Recanting twin effects offer a robust framework for mediation analysis with intermediate confounding.
  • The study provides a method to test for intermediate confounding.
  • Developed efficient estimators applicable to high-dimensional data.

Conclusions:

  • Recanting twin effects provide a theoretically sound and practically applicable alternative for mediation analysis when intermediate confounding is present.
  • The developed methods and estimators enhance the ability to investigate causal mechanisms in complex observational data.