statistics
Installation
SKILL.md
Statistics
objective
Apply robust statistical inference to quantify uncertainty, avoid false discoveries, and validate model assumptions.
workflow
- define hypotheses, sampling assumptions, and test-selection criteria.
- estimate parameters and uncertainty intervals with robust methods.
- run assumption validation for distribution, dependence, and variance stability.
- evaluate multiple-testing and false-discovery risk in signal screening.
- publish inference only when validation and robustness checks pass.
required validation
- p-value calibration and type-i/type-ii error balance.
- confidence-interval coverage and estimator stability.
- residual normality, autocorrelation, and heteroskedasticity validation.
- multiple-testing adjustment impact on selected signals.
- outlier and leverage-point sensitivity analysis.