Matched risk-set analysis and sensitivity

Respect sampled sets and assumptions

The analysis must respect risk-set sampling and matching. State any sampling weights or corrections and how repeated appearances enter uncertainty estimation. Conditional likelihood notation alone does not specify every sampling design.

Flow diagram

Matched risk-set analysis and sensitivityF1.S1Define sampled-cohort contrastF1.S2Choose matched analysisF1.S3Respect reuse and dependenceF1.S4Plan sensitivity analysesF1.S5Specify precision and reportingF1.N1Matched analysis planContrastSamplingdesignModelMatchingDependenceSensitivityPrimary modelAlternativewindowAlternativematchingF1.N2Assumptions and rationaleF1.N3Method and protocol evidenceF1.N4Conditional likelihood contributionSⱼ is a sampled matched set containing onecase c and its controls; x is a scalarexposure. A model combines contributionsacross sets. Under appropriateincidence-density sampling, exp(β) estimatesa relative rate or hazard. This illustrativeform assumes sampling compatible with theconditional likelihood. Unequal samplingprobabilities, additional covariates,repeated sampling and uncertainty needexplicit treatment; the rare-diseaseapproximation is not required for therate-ratio interpretation.F1.S0 Start flowMatched risk-set analysis andsensitivityF1.S999 End flowEnd flow

Steps

Define sampled-cohort contrast

Link the relative rate or hazard contrast to incidence-density sampling. Controls may recur and later become cases; the interpretation does not require a rare-disease approximation.

Choose matched analysis

Specify conditional likelihood or another sampling-compatible estimator.

Respect reuse and dependence

Account for matching, repeated controls and sampling structure as required.

Plan sensitivity analyses

Assess matching choices, exposure lags, missing measurements and exclusions.

Specify precision and reporting

Document uncertainty, sampling limitations and cohort-to-sample accounting.

Matched risk-set analysis and sensitivity

End flow

Tables and supporting information

Matched analysis plan

Matched analysis planContrastSamplingdesignModelMatchingDependenceSensitivityPrimary modelAlternativewindowAlternativematching

Justify the estimator using the actual sampling process.

Assumptions and rationale

An unmatched generic case-control analysis may not preserve the risk-set design or target contrast.

Method and protocol evidence

Attach the protocol, methodological sources and versioned software specification supporting these decisions. Record citations and provenance; do not enter participant identifiers.

Conditional likelihood contribution

Sⱼ is a sampled matched set containing one case c and its controls; x is a scalar exposure. A model combines contributions across sets. Under appropriate incidence-density sampling, exp(β) estimates a relative rate or hazard. This illustrative form assumes sampling compatible with the conditional likelihood. Unequal sampling probabilities, additional covariates, repeated sampling and uncertainty need explicit treatment; the rare-disease approximation is not required for the rate-ratio interpretation.

Sources