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Bayesian Estimands and Regulatory Interpretation · Tutorial 278 of 696

Intercurrent Events Versus Missing Outcome Data

Learn to classify intercurrent events and missing outcome data separately, and understand why each requires a different decision.

Advanced 10 min read

What You'll Learn

  • Distinguish an intercurrent event from an unavailable value of a defined outcome
  • Separate an event’s role in the estimand from the handling of missing observations
  • Recognize when an event and missing outcome data occur together
  • Use clinical timelines and endpoint definitions to classify difficult cases
  • Identify diagnostics and assumptions relevant to missing outcomes

Two Different Questions After Randomization

After randomization, participants may discontinue assigned treatment, receive rescue medication, start another therapy, experience a clinical event, or miss an outcome assessment. These developments matter, but they do not all create the same statistical problem. One question is what treatment effect is being asked about when a post-randomization event occurs? A separate question is what can be learned when a defined outcome was not observed?

The distinction matters because an event can be fully observed while the endpoint is also collected, and an endpoint can be missing even though no intercurrent event occurred. Treating these situations as interchangeable can change the clinical question, conceal missing information, or lead to an analysis that does not address the stated estimand.

Definition: An intercurrent event is a post-randomization event that affects either the interpretation or the existence of measurements associated with the clinical question of interest. Missing outcome data occur when the outcome is defined for a participant at the relevant time but its value is unavailable. An intercurrent event concerns the treatment-effect question; missingness concerns whether a defined outcome value was observed.

To classify a situation, first specify the endpoint and its assessment time. Then ask whether the event changes how that endpoint should contribute to the treatment-effect question, and separately whether the endpoint value is available. These are not competing labels: a participant can have an intercurrent event, an observed endpoint, both an event and a missing endpoint, or missing data without an intercurrent event.

Notation: Let \(Y\) denote the endpoint value at the specified assessment time, and let \(R=1\) mean that the value is observed (\(R=0\) means it is unavailable). Let \(E\) indicate whether a specified intercurrent event occurred. The indicators \(E\) and \(R\) describe different features: knowing \(E\) does not determine \(R\).

Classify the Event and the Observation Separately

The event classification depends on the clinical question, not simply on whether something unusual happened after randomization. For example, treatment discontinuation can be an intercurrent event when the question concerns outcomes regardless of discontinuation. Under a treatment-policy strategy, the participant’s outcome after discontinuation remains part of the treatment-condition comparison. Under a hypothetical strategy, the question instead concerns an outcome under a specified scenario in which the event did not occur. These strategies are defined in the earlier material on intercurrent-event strategies.

Neither strategy answers whether the outcome was collected. If the outcome after discontinuation is observed, it is not missing merely because treatment stopped. If it was not collected, it is missing even if the estimand’s strategy for discontinuation is already specified. Likewise, observing a rescue-medication event does not reveal a subsequent symptom score that was never recorded.

Worked Example: Discontinuation With and Without Missing Scores

In a hypothetical trial, 50 participants are assigned to each of two treatment groups. The endpoint is a symptom score at week 12, with lower scores indicating fewer symptoms. In the experimental group, 10 participants discontinue assigned treatment before week 12. Week-12 scores are collected for 9 of them; the remaining participant cannot be contacted. In the control group, 4 participants discontinue, and all 4 have week-12 scores collected.

Classify the event. Discontinuation is an intercurrent event for a question about the effect of assignment regardless of whether participants remain on treatment. It may be handled using a treatment-policy strategy, for example, by using week-12 outcomes after discontinuation when they are collected.

Classify outcome availability. For the 9 experimental-group participants and all 4 control-group participants who discontinued, the week-12 scores are observed. Discontinuation has not made those scores missing. For the one experimental-group participant who could not be contacted, discontinuation is still an event, and the score is also missing: \(E=1\) and \(R=0\).

Check the counts. There are \(50-10=40\) experimental-group participants who did not discontinue. The 10 who discontinued contribute 9 observed scores and 1 missing score, so the group has \(40+9=49\) observed week-12 scores. In control, \(50-4=46\) did not discontinue, and the 4 who discontinued all have scores, giving \(46+4=50\) observed scores. The event counts and missing-data counts are not the same.

Events Can Change the Question; Missingness Can Obscure the Answer

An intercurrent-event strategy specifies how outcomes associated with the event relate to the target question. A treatment-policy strategy uses outcomes regardless of the event; a hypothetical strategy asks about outcomes under a stated scenario in which the event did not occur. A composite strategy incorporates the event into the endpoint, while a while-on-treatment strategy focuses on outcomes before the event. The appropriate choice depends on the clinical question and endpoint definition; it cannot be selected just by looking at which values are available.

Missing outcome data require a different kind of justification. The outcome value is still the intended endpoint at the specified time, but it has not been observed. Analyses must therefore rely on assumptions or models about the unobserved values, supported where possible by the reasons for missingness and the observed data. A missingness assumption cannot determine what the estimand should mean, and an intercurrent-event strategy cannot recover a value that was never collected.

Worked Example: Rescue Medication With Observed Outcomes

Consider a hypothetical trial with 20 participants per group and a week-8 pain score, where lower scores are better. Five experimental-group participants receive rescue medication before week 8; all five still provide week-8 scores. Suppose the total of the 20 experimental-group scores is 100. In the control group, all 20 provide scores and their total is 120.

Classify the event and data. Rescue medication can be an intercurrent event because it may affect how the treatment effect should be interpreted. It is not missing outcome data here: all 40 week-8 scores were collected. Under a treatment-policy question, the scores after rescue medication remain part of the outcome summary.

Calculate the observed group means. The experimental-group mean is \(100/20=5.00\) pain-score points, and the control-group mean is \(120/20=6.00\) points. The observed difference in means, experimental minus control, is \(5.00-6.00=-1.00\) point. This arithmetic summarizes the specified observed scores; it does not by itself establish that treatment caused the difference or resolve whether this is the desired estimand.

If the five post-rescue scores had instead been unavailable, the rescue event would still be recorded, but the endpoint values would also be missing for those participants. The event strategy and the treatment of unavailable scores would then both need attention.

A Short Justification: Why Missing Values Are Not Events

A simple calculation shows why the observed outcomes alone need not represent all outcomes when some values are missing. Within a treatment group, suppose \(Y\) is a defined outcome and \(R\) indicates whether it is observed. The mean among observed participants is \(E(Y\mid R=1)\), whereas the mean across the group is \(E(Y)\). If observation is independent of the outcome, then

$$ E(Y\mid R=1)=E(Y). $$

But if participants with worse outcomes are less likely to be observed, then the distribution of \(Y\) among those with \(R=1\) can differ from the full group’s distribution, and the equality need not hold. This issue concerns the relation between the outcome and its observation indicator. It does not tell us whether discontinuation, rescue medication, or another event changes the clinical question. The event and observation status must therefore be recorded and reasoned about separately.

Worked Example: Missing Scores Without an Intercurrent Event

In a hypothetical group of 30 participants, the endpoint is a defined week-4 laboratory value. No participant discontinues treatment, receives rescue medication, or experiences another event designated as intercurrent for this question. A device failure means that 6 week-4 values are unavailable; the sum of the 24 observed values is 120 units.

Classify the situation. There is no specified intercurrent event in this example. The outcome is defined for all 30 participants, but it is missing for 6 because of device failure. Thus \(E=0\) and \(R=0\) for those 6 participants; for the other 24, \(E=0\) and \(R=1\).

Calculate what is observed. The mean among observed participants is \(120/24=5.00\) units. It is not automatically the mean for all 30 participants. The 6 unobserved values could be similar to, higher than, or lower than the observed values. Without additional assumptions or information, the observed mean alone does not identify the full-group mean.

Diagnostics and Common Failure Modes

A useful review starts with the endpoint definition, assessment time, event record, and outcome-collection record. For each participant, compare event timing with the scheduled assessment: did the event occur, was the outcome still defined under the endpoint, and was a value collected? Tabulating missingness by treatment group, event status, event timing, site, and recorded reasons can reveal data gaps or patterns that deserve investigation. These checks can identify inconsistencies, but observed patterns alone cannot prove how unobserved outcomes would have looked.

  • Calling every post-randomization event “missing data.” An event may occur with the endpoint fully observed. Record the event and the value’s availability separately.
  • Calling every unavailable value an intercurrent event. A failed assay or missed visit may create missing data without changing the treatment-effect question.
  • Using an event strategy as if it were a missing-data method. A treatment-policy strategy defines how event-associated outcomes enter the question; it does not supply outcomes that were not measured.
  • Changing the clinical question to avoid missingness. Restricting attention to observed or on-treatment outcomes may define a different target, rather than resolve unavailable endpoint values.
  • Assuming an event makes the endpoint undefined. This depends on the endpoint. As discussed in the earlier material on death as an intercurrent event or endpoint component, death may be handled as an endpoint component or as an intercurrent event, depending on the clinical question and endpoint definition. It should not automatically be treated as an ordinary missing score.

A practical comparison is useful: an intercurrent-event strategy answers how should the event relate to the treatment-effect question? Missing-data assumptions and methods address what can be inferred about defined outcomes that were not observed? Both may be needed in one trial. Neither category is a substitute for clearly defining the endpoint and assessment time.

Key takeaway: For every participant and assessment, distinguish the event indicator \(E\) from the observation indicator \(R\). An intercurrent event can occur with an observed outcome, a missing outcome, or—depending on the endpoint—an outcome whose definition requires special care. Missing outcome data can also occur without any intercurrent event.

Check Your Understanding

Classify each situation and explain what information is needed. Solutions follow the questions.

  1. A participant stops assigned treatment but completes the scheduled endpoint assessment. Is the endpoint missing?
  2. A participant has no recorded endpoint value because a laboratory sample was lost, and no intercurrent event occurred. How should this be classified?
  3. In a hypothetical group of 40 participants, 8 experience a specified intercurrent event. Outcomes are collected for 6 of those 8 and for all 32 others. How many have observed outcomes, and how many have missing outcomes?
  4. Why does specifying a treatment-policy strategy for rescue medication not, by itself, resolve missing week-12 scores?
  5. For 18 observed outcomes with a total of 90 units, calculate the observed mean and state why it may not equal the mean for all 24 participants if 6 outcomes are missing.

Solutions. (1) No. The discontinuation may be an intercurrent event, but the endpoint is observed because the scheduled assessment was completed. (2) The outcome is defined but unavailable, so it is missing data; no intercurrent event is specified. (3) There are \(32+6=38\) observed outcomes and \(8-6=2\) missing outcomes. The two missing values occur among participants who experienced the event. (4) The strategy specifies how outcomes after rescue medication relate to the treatment-effect question. It does not provide values that were not collected; assumptions or methods for missing outcomes are still required. (5) The observed mean is \(90/18=5.00\) units. It may differ from the mean for all 24 because the 6 unobserved values could have a different distribution from the observed values.

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