Make the inference visible before trusting it
A missing value is an observation problem. An intercurrent event can change what outcome means. The analysis is coherent only when both are tied to the estimand.
After randomisation, participants may discontinue treatment, use rescue support, switch programmes, die or become impossible to assess. These events are not interchangeable. The gold standard defines the treatment effect of interest first, then collects and analyses the outcomes needed for that question.
Frame the claimROUTE 02 · CHAPTERS 4–6
Work the evidenceROUTE 03 · CHAPTERS 7–9
Test transferROUTE 04 · CHAPTERS 10–12
Audit and continue
Open the chapter contents · Visit the Experimental Design root
Chapter contents
01 · Frame the claim
02 · Work the evidence
03 · Test transfer
1. Start with the effect, not the missing-data method
An estimand describes the treatment effect to be estimated: treatment conditions, population, outcome variable, handling of intercurrent events and population-level summary. It turns a broad intention such as “Does the programme work?” into a question that data and analysis can address.
Choosing last observation carried forward, multiple imputation or a mixed model before defining the estimand reverses the logic. The same method can answer different questions under different assumptions, and different methods can target the same question.
2. Missing outcomes and intercurrent events are different
A missing outcome is a value that would be meaningful for the estimand but was not observed. An intercurrent event occurs after treatment starts and affects the interpretation or existence of measurements: rescue medication, discontinuation, switching or a terminal event are common examples.
An outcome after rescue may be fully observed yet answer a different question from the no-rescue outcome. Death may make a later functional score nonexistent, not merely unrecorded. Classify the event before deciding that the spreadsheet has a blank to fill.
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A treatment-policy strategy uses outcomes regardless of the event. A hypothetical strategy targets a stated scenario in which the event would not occur. A composite strategy incorporates the event into the outcome. A while-on-treatment strategy restricts the relevant observation period, and a principal-stratum strategy targets people defined by potential event status.
Different events in one trial can use different strategies. The choice follows the clinical, educational or policy question. It should not be selected because one approach produces a more favourable contrast.
| Strategy | Treatment-effect question | Caution |
|---|---|---|
| Treatment policy | Effect regardless of event | Requires post-event follow-up |
| Hypothetical | Effect in a stated no-event scenario | Relies on untestable assumptions |
| Composite | Event becomes part of outcome | Components must be meaningful |
| While on treatment | Effect before event | Follow-up times can differ |
| Principal stratum | Effect in a potential-event subgroup | Membership is not directly observed |
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If the treatment-policy question needs outcomes after discontinuation or rescue, continue follow-up even when assigned treatment stops. Separate consent for study measurement from adherence to treatment. Record event timing, reason, additional interventions and outcome windows.
Reduce preventable missingness with accessible visits, flexible modes and participant-centred retention. Do not make post-event observation contingent on a site’s belief that the participant is “off study.” The protocol should say which data remain valuable after each event.
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5. Align estimator and assumptions with the question
The estimator is the analysis procedure used to estimate the estimand. Its assumptions include outcome model form, missingness mechanism, treatment adherence information and how post-event outcomes are used or predicted.
An intention-to-treat label does not specify an intercurrent-event strategy. A mixed model does not automatically produce a treatment-policy estimate if post-discontinuation outcomes are absent. State why the available data and model identify the target effect.
| Layer | Specify | Mismatch example |
|---|---|---|
| Estimand | Effect of interest | No-rescue question unstated |
| Data | Post-event and missingness record | Follow-up stops at discontinuation |
| Estimator | Model and assumptions | Observed-only mean called policy effect |
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6. Worked example: rescue is not automatically missing
Two hundred participants are randomised equally to a new therapy or control. By week 12, 30 in the new-therapy arm and 10 in control have used rescue medication. Week-12 outcomes are collected for 92 and 94 participants respectively, including many after rescue.
A treatment-policy estimand can use those observed outcomes regardless of rescue and needs assumptions for the remaining missing values. A hypothetical no-rescue estimand must model outcomes under a clearly stated world without rescue. A composite estimand might define rescue as failure if that is clinically meaningful. Deleting all post-rescue values would create avoidable missingness and would not, by itself, estimate any of these effects.
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7. Sensitivity analysis tests the fragile assumptions
The primary analysis should be valid under its stated assumptions and aligned with the estimand. Sensitivity analyses vary the assumptions that cannot be verified from observed data, especially departures from missing-at-random models or assumptions about outcomes after intercurrent events.
Use clinically interpretable departures: delta adjustments, tipping points, reference-based assumptions or bounds where appropriate. Supplementary analyses can target different estimands, but they should not be mislabeled as sensitivity analyses for the original question.
| Analysis | What changes | Interpretation |
|---|---|---|
| Primary | Estimator under main assumptions | Main estimand |
| Sensitivity | Unverifiable assumptions | Robustness of same estimand |
| Supplementary | Question or estimand | Different treatment effect |
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Move the framework to an education trial comparing tutoring with usual support. A student may switch schools, receive private tuition, stop attending sessions or sit a different examination. These events affect meaning differently.
A policy question may include private tuition as part of real-world uptake; a hypothetical question may ask what would happen without it. Moving school may leave an outcome measurable through records, while taking a different exam may require a harmonised outcome definition. The strategies transfer; the substantive choices must be rebuilt.
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No statistical method recovers information without assumptions. Multiple imputation does not cure informative missingness merely by producing several complete datasets. Complete-case analysis can change the target population and lose randomisation-based comparability.
Do not code death as an ordinary missing score, treat treatment discontinuation as outcome withdrawal, or use a composite whose components have no coherent meaning together. Principal strata concern potential event status under treatments, not the observed subset who tolerated one assigned arm.
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10. Audit question, data and analysis as one chain
Compare protocol, registry, analysis plan and report. For each intercurrent event, trace the prespecified strategy, data collected after the event, estimator and sensitivity assumptions. Reconcile every deviation and timing change.
Plot event incidence and missingness by arm, time and reason. Check whether follow-up differs after discontinuation. Reproduce the primary estimate and prespecified sensitivity range. A result is fragile when modest, credible departures reverse its interpretation.
| Item | Verify | Failure signal |
|---|---|---|
| Events | Timing and arm-specific incidence | All called dropout |
| Follow-up | Outcomes after discontinuation | Off treatment equals off study |
| Assumptions | Primary and sensitivity models | Method named without target |
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Is treatment policy the same as intention to treat?
It is one strategy that may reflect an intention-to-treat question for particular events, but a full estimand also specifies population, variable and summary.
Should all post-event outcomes be collected?
Collect outcomes needed for the estimand, subject to ethics and burden. Stopping treatment need not stop outcome follow-up.
Can a trial have several estimands?
Yes. A primary estimand and clearly labelled supplementary estimands can answer distinct decisions, provided their hierarchy and analyses are prespecified.
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12. The gold standard keeps the question stable
Post-randomisation events do not merely complicate a clean experiment; they help define the treatment effect people actually need to understand. The estimand framework makes those choices visible before analysis.
Before trusting a result, ask which event changed interpretation, which outcome remained meaningful, what data were still collected, and whether the estimator and sensitivity analyses target the same question. Alignment is what turns a table of incomplete outcomes into a defensible effect.
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Continue through verified routes
Core route
- Experimental Design: subject root and specialist index
- The Gold Standard of Education: learning transfers into life
- The Gold Standard: eduKate Singapore
- How X Works: systems and first-principles hub
Specialist route
- Treatment-effect heterogeneity, subgroup multiplicity and interaction tests
- Negative controls, falsification tests and residual bias
- Baseline imbalance, covariate adjustment and chance
- Interim monitoring, alpha spending and early stopping
- Multi-arm trials, shared controls and multiplicity
Authoritative sources
- ICH E9(R1), Estimands and sensitivity analysis in clinical trials
- ICH E9(R1), Official training material
- ICH E8(R1), General considerations for clinical studies
- National Research Council, The prevention and treatment of missing data in clinical trials
- SPIRIT–CONSORT Group, CONSORT 2025 statement and reporting resources
