Graph
Directed Acyclic Graph (Causal)

🔗Directed Acyclic Graph (Causal)

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Also known as: Causal DAG

A directed acyclic graph encoding causal relationships and conditional independence assumptions among variables.

DESCRIPTION

A causal DAG represents variables as nodes and causal influences as directed edges with no cycles. It encodes assumptions about data-generating processes and supports identification strategies via graphical criteria (e.g., back-door, front-door). DAGs clarify confounding, colliders, and mediation, guiding valid adjustment sets. They underpin do-calculus and are central in modern causal inference. Practitioners use DAGs to design studies, select controls, and avoid bias such as conditioning on colliders.

ALTERNATIVE DEFINITIONS

Wikipedia

A causal diagram is a directed acyclic graph (DAG) that encodes assumptions about the data-generating process.

Focuses on DAGs as diagrams of causal assumptions.

Source

Causal Inference: What If (Hernán & Robins)

DAGs are graphs with directed edges and no cycles used to represent causal relations among variables.

Provides a textbook statement connecting DAG structure to causal interpretation.

Source

Causal Graph Backdoor Criterion Front-Door Criterion Do-Calculus Confounding Collider Instrumental Variable Conditional Independence Structural Equation Model

COMPETING TERMS

Potential Outcomes Framework

KNOWLEDGE AREAS

Data Science AI Mathematics Domain & Business Context

TARGET AUDIENCE

Data Scientist AI Engineer Data Analyst Information Analyst

EXTERNAL SOURCES

TOP QUESTIONS

Why use a Directed Acyclic Graph (Causal) in studies?

Causal DAGs reveal appropriate adjustment sets, clarify confounding and colliders, and guide valid identification of causal effects.

Category: Relevancy

How do colliders affect a Causal DAG?

Conditioning on colliders opens spurious paths and introduces bias; DAGs help avoid such conditioning mistakes.

Category: Mistakes

What is a back-door adjustment in a Causal DAG?

Selecting a set of variables that blocks spurious back-door paths from treatment to outcome, enabling unbiased estimation.

Category: Overview

How do DAGs relate to do-calculus?

DAGs provide the graphical structure underpinning do-calculus rules for manipulating interventions and identifying causal effects.

Category: Example

What’s the difference between Causal DAGs and Potential Outcomes?

DAGs are graphical and assumption-oriented; Potential Outcomes formalize counterfactuals. Both frameworks can be complementary.

Category: Alternatives

How are DAGs used in observational studies?

They guide variable selection for adjustment, avoiding bias from conditioning on colliders or descendants of treatment.

Category: Management

What risks occur when DAGs are misspecified?

Incorrect edges or omitted variables lead to invalid adjustment sets and biased causal estimates.

Category: Risks

Can DAGs encode mediation and indirect effects?

Yes; mediator nodes and paths capture indirect effects, enabling front-door identification when assumptions hold.

Category: Overview

How should teams validate Causal DAGs?

Use domain expertise, literature, triangulation, and sensitivity analyses to assess plausibility and robustness of assumptions.

Category: Requirements