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Causal vs Non-Causal Paths in DAGs — How to Detect Bias and Adjust Causal Paths in Clinical Research Using DAGs

🎯 Objectives

By the end, you’ll be able to:

✅ Distinguish causal from non-causal paths ✅ Diagnose if a path is open or closed ✅ Know when to adjust to block bias ✅ Simulate path logic using DAGitty


🩺 Fresh Clinical Setup (New Example)

Does giving intravenous fluids within 15 minutes reduce the incidence of hypotension in dengue shock patients in the ED?
  • Exposure (X): Early IV fluids

  • Outcome (Y): Hypotension

  • Confounder (C): Shock severity

  • Mediator (M): Blood volume recovery

  • Collider (Z): ED length of stay

  • Effect Modifier: Initial hematocrit level

🧬 1. Causal Path = What You Want to Measure

🔗 Causal Path Example:

EarlyFluids → BloodVolumeRecovery → Hypotension

  • This path transmits the real effect of treatment.

  • Keep it open if estimating the total effect.

  • Adjust only if interested in direct effect (e.g., Fluids → Hypotension without mediation via volume recovery).

🧠 Total Effect = Direct + Indirect

⚠️ 2. Non-Causal Path = Where Bias Leaks In

These are routes that mimic the association between exposure and outcome but aren’t due to the intervention.

🛑 Non-Causal Path #1: Confounding (Backdoor)

EarlyFluids ← ShockSeverity → Hypotension

  • This is a classic backdoor path

  • Open by default — must be blocked by adjusting

  • If ignored, it creates a false attribution of effect

Action: Adjust for ShockSeverity to close this path

🧨 Non-Causal Path #2: Collider Bias

EarlyFluids → EDLengthOfStay ← Hypotension

  • This path is naturally closed

  • Adjusting for the collider (ED stay) opens a spurious path

  • Creates a collider stratification bias

Never adjust for colliders

🔍 Secret Insight: Colliders are seductive—they feel like good control variables. Don’t fall for it.

📊 3. Open vs Closed: The Real Mechanism

Path Type

Example

Open/Closed?

Adjust?

Why?

Causal Path

X → M → Y

✅ Open

Transmits treatment effect

Backdoor Confounder

X ← C → Y

✅ Open

Opens false link unless blocked

Collider Path

X → Z ← Y

❌ Closed

Adjusting opens bias

DAG Rule of Thumb:

  • Open + Non-Causal = BAD (must block)

  • Open + Causal = GOOD (don’t block)

  • Closed + Non-Causal = GOOD (leave alone)

🧮 4. Visualized in DAGitty

dagitty

dag {

ShockSeverity -> EarlyFluids

ShockSeverity -> Hypotension

EarlyFluids -> BloodVolumeRecovery

BloodVolumeRecovery -> Hypotension

EarlyFluids -> EDLengthOfStay

Hypotension -> EDLengthOfStay

}

✅ Adjustment Set: ShockSeverity 🚫 Avoid adjusting: EDLengthOfStay, BloodVolumeRecovery (if total effect)

📋 5. DAG Path Review Table

Path

Type

Adjust?

Why?

EarlyFluids → Hypotension

Direct causal

This is your effect of interest

EarlyFluids → Volume → Hypo

Mediated causal

Leave open for total effect

EarlyFluids ← Severity → Hypo

Confounding

Must close this bias path

EarlyFluids → LOS ← Hypo

Collider

Closed by default; adjusting creates false path

✅ Key Takeaways

  • Causal paths transmit signal — leave open unless isolating direct effect.

  • Non-causal paths transmit bias — must be blocked if open.

  • Confounding = adjust to close; Collider = avoid adjusting.

  • DAGitty confirms whether your chosen adjustment kills bias or kills effect.

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