Make the inference visible before trusting it
Cloning–censoring–weighting can compare treatment strategies that remain indistinguishable at baseline, but the result is only as credible as the strategy definitions, adherence records, positivity and censoring models.
Some treatment strategies cannot be assigned at time zero from observed behaviour. “Start within 30 days”, “continue while tolerated” or “intensify when a biomarker crosses a threshold” unfold over time. Cloning–censoring–weighting creates a copy of each eligible person for every strategy they could initially follow, censors a copy when its observed path becomes incompatible, and weights remaining copies to repair the selection introduced by that artificial censoring.
Frame the claimROUTE 02 · CHAPTERS 4–6
Work the evidenceROUTE 03 · CHAPTERS 7–9
Test transferROUTE 04 · CHAPTERS 10–12
Audit and continue
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Chapter contents
01 · Frame the claim
02 · Work the evidence
03 · Test transfer
1. Write the target trial before choosing the method
Specify eligibility, time zero, strategies, assignment, follow-up, outcome, causal contrast and analysis. The same timestamp should determine eligibility, strategy compatibility and start of outcome follow-up. A vague goal such as “effect of adherence” is not enough. State a per-protocol estimand for concrete strategies in a defined population and time horizon. Cloning is a tool for emulation, not a replacement for the protocol.
A dynamic strategy maps observed history to an action: for example, continue treatment while toxicity remains below a threshold, pause after severe toxicity and restart after recovery. Every decision point, grace period, dose tolerance and allowed deviation must be explicit. If two strategies overlap during a grace period, one person can initially be compatible with both. Ambiguous rules make censoring irreproducible and the estimand hard to interpret.
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3. Clone only across genuinely compatible strategies
At baseline, create one record per person per strategy that their observed history has not yet ruled out. The clones share the same pre-assignment data and outcome until their paths diverge, so analyses must account for induced duplication. Cloning does not create new independent people or balance confounders. It represents the fact that early behaviour may be consistent with more than one longitudinal strategy.
| Element | Meaning | Common error |
|---|---|---|
| Clone | Person–strategy copy | Counted as a new person |
| Compatibility | Observed path still follows rule | Defined using future data |
| Duplication | Shared early history | Ignored in variance |
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Follow each clone through decision times and artificially censor it when observed treatment becomes inconsistent with its assigned strategy. Natural loss to follow-up and competing events must remain distinguishable from artificial censoring. The deviation rule must use information available at that time. Looking ahead to decide whether someone adhered can introduce future information and distort risk sets.
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5. Weight to repair selection created by censoring
Artificial censoring preferentially removes people whose evolving covariates make deviation more likely. Estimate the probability of remaining uncensored conditional on relevant past treatment, outcome predictors and time-varying covariates, then construct inverse-probability-of-censoring weights. Stabilisation and truncation can improve precision but change the practical analysis. Report numerator, denominator, time scale and truncation rule.
| Weight component | Purpose | Diagnostic |
|---|---|---|
| Denominator | Models remaining uncensored | Calibration and balance |
| Numerator | Stabilises weights | Mean and interpretation |
| Truncation | Limits extremes | Sensitivity across cut-offs |
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Eligible patients may start therapy within 7 days or within 30 days after diagnosis. Everyone is cloned into both strategies at day zero. A patient starting on day 5 remains compatible with both; one starting on day 20 is censored from the 7-day clone but remains in the 30-day clone; one untreated by day 30 is censored from both. Weighted risks at one year compare the defined initiation policies. The result is not simply “early versus late starters”, because the 30-day strategy includes the observed timing distribution allowed within its window.
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Positivity requires a non-zero chance of remaining compatible with each strategy for relevant covariate histories. If almost every severely ill patient initiates immediately, a delayed strategy has little support in that subgroup. Inspect numbers at risk, censoring by strategy and time, weight distributions, effective sample size and covariate balance after weighting. Extreme weights signal reliance on a few trajectories, not extra information.
| Signal | Interpretation | Response |
|---|---|---|
| Few compatible clones | Weak support | Restrict estimand or redesign |
| Extreme weights | Near-positivity or model issue | Inspect histories and models |
| Poor weighted balance | Residual measured confounding | Revise specification |
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8. Changed-context transfer check: a biomarker-triggered rule
Compare “intensify when biomarker exceeds 8” with “intensify when it exceeds 10”. Before either threshold is crossed, a person may be compatible with both rules. Later measurements determine the required action and censor incompatible clones. The transferable steps are protocol, compatibility, censoring and weighting. The changed context demands reliable measurement times and clear handling of missed tests, because an unobserved threshold crossing cannot be treated as a known decision.
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Interpretation requires consistency, exchangeability for censoring and treatment decisions, positivity and correct measurement of strategy-relevant history. Unmeasured severity can bias the result even when weights look stable. Informative visit schedules, measurement error and treatment versions can break the emulation. Weight models are not automatically correct because they converge. Negative controls, quantitative bias analysis and alternative specifications can probe but not erase these limitations.
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10. Audit the emulation from eligibility to estimate
Publish the protocol, time-zero construction, person-strategy cloning code, interval structure, compatibility rules, reasons and times for artificial and natural censoring, weight models, diagnostics, outcome model and variance method. Re-run with plausible grace periods, censoring definitions, model forms and truncation levels. Show unweighted and weighted risk sets so readers can see where each strategy loses support.
| Audit layer | Retain | Failure signal |
|---|---|---|
| Protocol | Time zero and strategies | Rules reconstructed after results |
| Censoring | Time and reason | Artificial and natural mixed |
| Weights | Models and diagnostics | Only final estimate shown |
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Why clone people? Early observed treatment can satisfy several strategies. Does cloning solve confounding? No. Why censor clones? To keep each copy aligned with its assigned strategy. Why weight after censoring? Artificial censoring creates selection. Are dynamic strategies always better? No; they are appropriate when actions depend on evolving history. Is this an intention-to-treat effect? No; it targets adherence to specified strategies under identification assumptions.
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12. The gold standard keeps the estimand ahead of the machinery
A credible cloning–censoring–weighting study begins with executable strategies and aligned time zero, not a convenient dataset transformation. It makes compatibility rules reproducible, distinguishes artificial from natural censoring, diagnoses support and carries weight uncertainty into the estimate. The gold standard treats the final per-protocol effect as a claim about defined interventions—not about people labelled adherent after the fact.
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Continue through verified routes
Core route
- Experimental Design: subject root and specialist index
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- How X Works: systems and first-principles hub
Specialist route
- Treatment switching, inverse-probability weighting and hypothetical estimands
- Noncompliance, instrumental variables and complier effects
- Treatment fidelity, protocol deviations and estimand alignment
- Sequential multiple-assignment trials, embedded regimes and dynamic treatment rules
- Exposure–response models, adherence and treatment-policy estimands
