Scope
240 manually assigned study-unit/estimand/endpoint/model scaffolds, with 12 expanded prospectus refinements taking precedence
Notice
Research-design mathematics only. No fresh medical-source verification, demonstrated novelty, validated protocol, clinical result, asserted effect size, powered recruitment target or data access is claimed. Formulas are candidate estimators/identification and planning scaffolds; outcome, decision, assay, death and access choices remain unresolved.
Source precedence
The 12 expanded prospectuses refine the corresponding original briefs. All other records use full original question, aims, design, outcomes and analysis. Scientific source metadata remain inherited/unverified.
Mathematical conventions
Potential-outcome notation marks a causal target, not automatic identification. Prediction/assay/cohort models retain their narrower interpretation.
All outcome links, thresholds, contrasts, time windows, scales, covariate sets and intercurrent-event rules are candidates until preregistered. Mean, risk, rate, ordinal and independent-draw superiority effects answer different questions.
Randomized assignment effects include subsequent clinician-directed treatment and incomplete attendance under the relevant strategy; ordinary adjustment for postassignment variables can change the target or induce bias.
An experimental unit can differ from the independent biological/source/transport unit. Repeated samples improve measurement precision but cannot manufacture independent donors, participants, lots, trials, laboratories or policy events.
Linear-Gaussian contrast variance is a planning approximation for that model only. Nonlinear/marginal, clustered, censored, survival, adaptive and interaction designs require estimator-specific or simulation planning.
Death, missing living outcomes, valid assay nondetects and technical assay failures are distinct states. No conventional living score is imputed after death and no arbitrary positive potency replaces a nondetect.
Independent-draw superiority is a contrast of outcome distributions, not the probability a particular person benefits. Individual counterfactual effects are not observed ground truth.
Verification gates concern design/provenance/calculation/statistics separately; arithmetic correctness cannot validate biomedical inputs, model assumptions or causal efficacy.