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Intention-to-Treat (ITT) vs Modified ITT (mITT) vs Per Protocol (PP) vs As Treated (AT) vs Complier Average Causal Effect (CACE): Choosing the Right Analysis in Clinical Trials

Strategy

Core Logic

Maintains Randomization?

Bias Profile

Best Use Case

Intention-to-Treat (ITT)

Analyze everyone as randomized, regardless of what happened next.

✅ Yes

🔽 Lowest bias (but dilution risk)

Primary analysis for effectiveness (policy relevance, real-world impact).

Modified ITT (mITT)

ITT with defined exclusions (e.g., no post-randomization data at all).

⚠️ Partially

Moderate (selection creep)

When minimal follow-up is missing—pragmatic compromise.

Per Protocol (PP)

Keep only strict adherers, exclude violators.

❌ No

🔼 High (selection bias)

Secondary analysis to explore efficacy under perfect use.

As Treated (AT)

Re-sort patients by what they actually received.

❌ No

🔼 High (confounding)

Exploratory; mimics observational analysis. Not valid for primary inference.

Complier Average Causal Effect (CACE)

Estimates effect among true compliers only.

✅ Yes (under IV assumptions)

Medium

When non-compliance is substantial but symmetric. More causal than AT/PP.


🧠 Interpretive Flowchart

When deciding which analysis to apply, follow this sequence:

  1. Primary aim = effectiveness?→ Use ITT as default .

  2. Large dropout with zero data?→ Consider mITT (must predefine rules, symmetric).

  3. Want efficacy under ideal adherence?→ Add PP as sensitivity.

  4. Major crossover or non-adherence?→ Report ITT but add CACE to salvage causal interpretation.

  5. Tempted by AT?→ Remember: this is essentially an observational re-analysis — use only as exploratory.


IV assumptions behind CACE

When you use randomization as an instrumental variable (IV), four key assumptions must hold:

  1. Relevance: Randomization actually influences treatment received (i.e., assignment matters).

  2. Exclusion restriction: Randomization affects the outcome only through the treatment, not directly.

  3. Independence: Randomization is independent of potential outcomes (held by design in an RCT).

  4. Monotonicity: No “defiers”: no one systematically does the opposite of their assignment.

How it’s calculated

It uses an instrumental variable (IV) framework, with randomization as the instrument:

CACE ≈ ITT effect / Proportion of compliers

Example:

  • If ITT risk difference = 5% improvement,

  • and 70% of patients were true compliers,

  • Then CACE ≈ 5% ÷ 0.7 = 7.1% (the estimated effect in compliers).


🔍 Secret Insights

  • Regulators and CONSORT guidance: ITT must always be presented, even if secondary analyses are added.

  • Non-Inferiority trials: ITT alone is dangerous (dilution may favor NI); both ITT + PP must agree.

  • Pragmatic vs Explanatory framing: Pragmatic = ITT; Explanatory = PP. Choice of analysis reflects the clinical stake.

  • Policy makers vs clinicians: Policy → ITT; Clinicians → may look at PP/AT to understand “what happens if patients really take it”.

✅ Key Takeaways

  • ITT = safest, lowest bias, preserves randomization.

  • mITT = compromise, but risk of creeping bias.

  • PP = efficacy under ideal conditions, but selection bias threat.

  • AT = exploratory, mimics observational study.

  • CACE = advanced tool when compliance is a real problem.


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