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Model-Based Bridging and Extrapolation · Tutorial 451 of 596

Trial Conduct Differences as Sources of Nontransportability

Learn to distinguish differences in trial conduct from population differences and to identify the evidence and adjustments needed before transporting a trial effect.

Advanced 12 min read

What You'll Learn

  • Distinguish an effect under a trial’s observed conduct from an effect under a specified treatment and follow-up strategy.
  • Explain how adherence and concomitant therapy can change the effect relevant to a target setting.
  • Identify why conditioning naively on post-randomization adherence or rescue use can bias comparisons.
  • Recognize when rescue rules, follow-up, or outcome ascertainment make trial endpoints non-comparable.
  • Calculate illustrative standardized effects and ascertainment-corrected risks.
  • Choose between harmonization, adjustment, and explicit qualification of an extrapolation.

Why Trial Conduct Matters for Extrapolation

A trial effect is not determined by the drug and population alone. It is also shaped by how consistently participants take treatment, what other therapies they receive, when follow-up ends, whether rescue medication is available, and how outcomes are measured. If these features differ between a source trial and the setting to which its result will be applied, the trial’s estimate may not represent the effect expected under the target setting’s care.

This does not mean that every conduct difference invalidates a trial. Randomization can support a valid comparison of assigned treatments within a trial, even when adherence is imperfect or rescue medication is used. The question for extrapolation is more specific: does the effect estimated under the source trial’s conduct correspond to the treatment strategies and outcome definition relevant to the target setting?

Definition: A trial conduct regime is the set of study procedures and care practices that can shape treatment received or outcome observation, such as adherence support, permitted concomitant therapy, rescue rules, visit schedules, and endpoint ascertainment. A conduct-related source of nontransportability is a difference in those features that changes the treatment contrast or the meaning or observation of the outcome between the source trial and the target setting.

The introductory material on endpoint harmonization establishes why outcomes must have comparable definitions before their effects are compared. Here the emphasis is on additional conduct differences and on the adjustments or qualifications needed when the trials do not implement the same strategies. The treatment effect should always be tied to a clearly stated outcome, time horizon, population, and treatment strategy.

Define the Effect Before Adjusting for Conduct

Let \(Y=1\) indicate an unfavorable binary outcome by a specified time, and let \(A=1\) denote assignment to treatment and \(A=0\) assignment to control. Define the treatment benefit as a risk reduction: the control risk minus the treatment risk. A positive value therefore favors treatment. For a particular population and conduct regime \(g\), write the effect as:

$$ \Delta(g)=P(Y=1\mid A=0,g)-P(Y=1\mid A=1,g). $$

This is an effect under the specified conduct regime, not an abstract effect independent of implementation. In a randomized trial, an intention-to-treat comparison generally estimates the effect of assignment under the trial’s actual adherence, rescue, and follow-up practices, subject to the trial’s outcome definition and missing-data approach. It does not automatically estimate the effect of perfect adherence or of a different rescue policy.

For a simple binary outcome, a target-setting effect can be represented by averaging conditional effects across target covariate strata \(x\), provided those strata capture the relevant differences and the conditions below hold:

$$ \Delta_T(g_T)=\sum_x P_T(X=x)\left\{P(Y=1\mid A=0,X=x,g_T)-P(Y=1\mid A=1,X=x,g_T)\right\}. $$

Here \(P_T(X=x)\) is the target population’s stratum proportion, and \(g_T\) is the target conduct regime. This expression is useful only if the conditional risks for that population and regime are identified or defensibly predicted. Substituting source-trial risks is justified only when the relevant conditional effects (and any needed outcome risks) are transportable to the target regime.

Conditions for a conduct-adjusted extrapolation: The treatment strategies and outcome must be defined consistently; the source trial must provide internally valid comparisons for its stated estimand; the conduct features that modify the effect must be measured or adequately represented; conditional effects must be exchangeable between source and target after accounting for those features; and each target stratum must have adequate source support. When conduct itself differs, the effect under the target regime must also be identified from data or supported by defensible assumptions. Randomization alone does not establish these cross-setting conditions.

How Conduct Differences Change the Effect

Adherence can reduce the separation in treatment actually received between randomized arms. If treatment benefit depends on receiving treatment, a setting with lower adherence may have a smaller benefit under assignment, even if the effect among people who take the drug as intended is unchanged. However, observed adherence is post-randomization: participants who adhere may differ in prognosis, health behavior, or tolerability. Comparing adherent participants with nonadherent participants, or simply adjusting for observed adherence, can therefore destroy the protection provided by randomization.

Concomitant therapy can also alter the treatment effect. A background therapy might enhance the study drug’s effect, reduce its incremental benefit, or mark a clinical subgroup with a different response. A difference in the prevalence of such therapy can change the average effect. If concomitant therapy is initiated after randomization, however, it may be influenced by treatment or evolving health status. Its role must be analyzed with an appropriate causal estimand and method rather than treated automatically as a baseline confounder.

Rescue medication and follow-up rules define what happens after inadequate response or worsening. If rescue use is counted as treatment failure, the endpoint measures a composite strategy outcome. If outcomes after rescue are instead recorded, the endpoint reflects symptoms under the observed rescue policy. Neither is inherently wrong, but their effects answer different questions. Similarly, follow-up duration affects the opportunity to observe events, and ascertainment procedures can change which events are recorded or classified.

Worked Example: Lower Adherence and an Assignment Effect

Consider a deliberately simplified hypothetical setting. Under full treatment receipt, the treatment reduces the unfavorable-outcome risk by \(0.12\), or 12 percentage points. Assume, solely for this illustration, that participants who do not receive treatment obtain no treatment benefit, there is no control-arm crossover, and other care and outcome ascertainment are identical. If adherence among those assigned treatment is \(0.90\) in the source trial, the assignment benefit under these assumptions is:

$$ \Delta_{\text{source}}=0.90(0.12)+0.10(0)=0.108. $$

The implied benefit is \(0.108\), or 10.8 percentage points. If target-setting adherence is \(0.65\), the corresponding illustrative assignment benefit is:

$$ \Delta_{\text{target}}=0.65(0.12)+0.35(0)=0.078. $$

The predicted benefit is \(0.078\), or 7.8 percentage points, which is \(0.108-0.078=0.030\), or 3.0 percentage points, smaller than in the source setting. This calculation is not a general correction for nonadherence. It depends on the strong simplifying assumptions stated above. Real analyses must account for such issues as prognosis-related adherence, treatment discontinuation, crossover, and the timing of adherence and outcomes. The example shows why an assignment effect from one adherence regime need not equal the effect under another.

Adjusting for Differences in the Mix of Background Therapy

When a relevant modifier is measured before treatment assignment, conditional effects can be averaged using the target population’s distribution. This is standardization: the conditional effect in each stratum is weighted by the proportion of the target population in that stratum. The interpretation depends on the conditional effects being applicable to the target setting and on having sufficient evidence in every target stratum. For a post-randomization co-intervention, this same calculation is not automatically valid.

Worked Example: Different Background-Therapy Mix

Suppose a hypothetical source trial estimates treatment benefits of \(0.12\) among participants using a particular stable background therapy at baseline and \(0.06\) among those not using it. Assume these conditional effects are valid for both settings. In the source setting, 70% use the therapy; in the target setting, 30% do. The source-average benefit is:

$$ \Delta_{\text{source}}=0.70(0.12)+0.30(0.06)=0.084+0.018=0.102. $$

Thus, the source-average benefit is \(0.102\), or 10.2 percentage points. Reweighting the same conditional effects to the target mix gives:

$$ \Delta_{\text{target}}=0.30(0.12)+0.70(0.06)=0.036+0.042=0.078. $$

The target-standardized benefit is \(0.078\), or 7.8 percentage points. It is \(0.102-0.078=0.024\), or 2.4 percentage points, smaller than the source-average estimate because the target has fewer participants in the stratum with the larger conditional effect. This adjustment addresses a difference in stratum proportions; it does not establish that the conditional effects truly transport or correct differences in how background therapy is prescribed or monitored.

Rescue, Follow-Up, and Endpoint Ascertainment

A conduct adjustment must preserve the scientific question. Consider two common strategies for rescue medication: count rescue use as failure, or measure symptoms at the scheduled endpoint after rescue is allowed. The first estimates the effect on a composite involving both worsening and rescue use. The second estimates symptoms under the rescue practices that occurred. These are not interchangeable endpoints, even if both are described informally as “response.”

Worked Example: Rescue Policy Changes the Endpoint Contrast

In a hypothetical trial, 100 participants are randomized to each arm. By week 12, worsening symptoms or rescue medication use occurs in 40 control participants and 25 treatment participants. If rescue use counts as failure, the risks are \(40/100=0.40\) and \(25/100=0.25\). The benefit on this composite outcome is:

$$ \Delta_{\text{composite}}=0.40-0.25=0.15. $$

That is a \(0.15\), or 15-percentage-point, reduction in the composite outcome. Now suppose the recorded symptom outcome at week 12 after rescue shows 24 control participants and 18 treatment participants meeting the symptom threshold. The symptom risks are \(24/100=0.24\) and \(18/100=0.18\), giving:

$$ \Delta_{\text{symptom after rescue}}=0.24-0.18=0.06. $$

This is a \(0.06\), or 6-percentage-point, reduction in symptoms at week 12 under the observed rescue practices. The different effect estimates are not contradictory: the outcomes and treatment strategies differ. A target trial that uses another rescue rule cannot be assumed to have either effect without evidence linking the strategies and outcomes.

Ascertainment differences can change measured event risks even when the underlying clinical state is the same. A simple correction is possible only under explicit measurement assumptions. For example, if a binary endpoint has known sensitivity \(Se\) and specificity \(Sp\) that apply equally in both arms, then the observed positive fraction \(p_{\text{obs}}\) and true event risk \(p\) satisfy \(p_{\text{obs}}=Se\,p+(1-Sp)(1-p)\). Solving gives \(p=(p_{\text{obs}}+Sp-1)/(Se+Sp-1)\), provided \(Se+Sp>1\).

Worked Example: Correcting for Imperfect Endpoint Classification

Suppose, hypothetically, a source trial records an observed endpoint risk of \(0.23\) in control and \(0.14\) in treatment. A validation study supports common sensitivity \(Se=0.80\) and specificity \(Sp=0.95\) in both arms. Under the stated misclassification model, \(Se+Sp-1=0.75\). The corrected control risk is:

$$ p_0=\frac{0.23+0.95-1}{0.80+0.95-1}=\frac{0.18}{0.75}=0.24. $$

The corrected treatment risk is:

$$ p_1=\frac{0.14+0.95-1}{0.80+0.95-1}=\frac{0.09}{0.75}=0.12. $$

The observed risk reduction is \(0.23-0.14=0.09\), while the corrected risk reduction is \(0.24-0.12=0.12\). This correction is only as credible as the sensitivity and specificity estimates and the assumption that they apply equally across arms and relevant settings. If outcome ascertainment differs by treatment, or if validation data do not represent the target setting, the calculation does not solve the problem.

Diagnostics and Practical Choices

Before transporting an estimate, describe conduct differences concretely rather than labeling a trial simply “well conducted” or “poorly conducted.” Compare adherence over time, treatment discontinuations and crossovers, permitted and actual concomitant therapies, rescue eligibility and use, visit timing, length of follow-up, missing outcome data, and endpoint definitions and adjudication. Check whether these differences are associated with observed treatment effects or with the patient characteristics that differ between settings.

For an adjustment to be credible, verify that each target-relevant stratum has source data, that the definition of the stratum is consistent, and that outcome measurement is comparable. Large weights or strata with few observations signal that the extrapolation relies heavily on limited information. If treatment effects are estimated only among a selected subset, investigate how selection occurred; an adherent-only analysis can be biased even when adherence is measured accurately.

ApproachWhen it can helpMain limitation
Harmonize conduct or endpoint definitionsWhen procedures can be aligned or data can be reclassified consistentlyMay require unavailable data or cannot undo past differences in care
Standardize across measured baseline modifiersWhen target stratum proportions differ and conditional effects are supportedDoes not fix unmeasured modifiers or unidentified target-regime effects
Estimate an effect under a specified adherence or rescue strategyWhen longitudinal treatment and covariate histories are available and assumptions are defensibleRequires stronger assumptions than the randomized assignment comparison
Qualify or limit the extrapolationWhen conduct differences cannot be harmonized or adjusted reliablyLeaves uncertainty unresolved and may narrow the claim

A common mistake is to say, “The treatment effect is smaller in the target region because adherence is lower, so we will adjust for adherence by comparing only adherent participants.” This reasoning is not justified: adherence occurs after randomization and can depend on prognosis, tolerability, or early response. The correction is to define the intended estimand first, then use an analysis appropriate to that estimand and the available longitudinal data; if its assumptions cannot be supported, report the randomized assignment effect under trial conduct and qualify its applicability.

Conduct differences matter because they can change either the treatment received, the co-interventions, the time or circumstances in which outcomes arise, or the probability that outcomes are observed and classified. Some differences can be addressed by harmonization or adjustment. Others require evidence that is not available from the source trial alone. A transparent extrapolation states which conduct regime the estimate represents, what differs in the target setting, what assumptions bridge that gap, and where uncertainty remains.

Check Your Understanding

Answer each question, then compare with the solutions below.

  1. A target setting has 50% of participants in a baseline stratum with benefit \(0.10\), and 50% in a stratum with benefit \(0.04\). What is the standardized benefit, assuming both conditional effects apply?
  2. Why does an intention-to-treat effect under a source trial’s rescue policy not automatically estimate the effect under a different rescue policy?
  3. What is a central causal concern with comparing only participants who adhered to randomized treatment?
  4. Under common sensitivity \(0.80\) and specificity \(0.95\), what true risk corresponds to an observed risk of \(0.20\), using the correction formula above?

Solutions. (1) \(0.50(0.10)+0.50(0.04)=0.05+0.02=0.07\), a \(0.07\), or 7-percentage-point, benefit, provided the conditional effects apply and both strata are supported. (2) The source estimate reflects outcomes under its own rescue rules; a different policy can change rescue use, subsequent treatment, and the endpoint strategy being estimated. (3) Adherence is post-randomization and may be related to prognosis, tolerability, or early response, so conditioning on it can select non-comparable groups and undermine randomization. (4) \(p=(0.20+0.95-1)/(0.80+0.95-1)=0.15/0.75=0.20\). Under these assumptions, the corrected risk is \(0.20\).