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Cloak and DAG: a response to the comments on our comment
Martin A Lindquist1, Michael E Sobel
1Department of Statistics, Columbia University, New York, NY 10027, USA. martin@stat.columbia.edu
Neuroimaging researchers must understand assumptions of directed graphical models (DGMs) and structural equation models (SEMs) for accurate causal effect estimation. Unmet assumptions necessitate alternative methods or study designs to avoid unrealistic interpretations in causal inference.
Area of Science:
- Neuroimaging
- Causal Inference
- Statistical Modeling
Background:
- Directed graphical models (DGMs), including structural equation models (SEMs), are used in neuroimaging to estimate causal effects.
- Researchers may be unaware of the underlying assumptions required for valid causal interpretation of these models.
Purpose of the Study:
- To clarify the assumptions neuroimaging researchers make when using DGMs and SEMs for causal inference.
- To emphasize the importance of evaluating these assumptions before interpreting model parameters as causal effects.
Main Methods:
- The study critically examines the assumptions inherent in applying DGMs and SEMs to neuroimaging data.
- It discusses the implications of unmet assumptions for causal effect estimation.
Main Results:
- Parameters from DGMs/SEMs should not be interpreted as causal effects if underlying assumptions are violated.
- Alternative methods or experimental designs may be necessary when assumptions are unrealistic.
Conclusions:
- Neuroimaging researchers must carefully consider the plausibility of DGM/SEM assumptions for their specific research questions, particularly concerning causation and effective connectivity.
- Awareness and validation of these assumptions are crucial for reliable causal inference in neuroimaging.
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