By name: statistical-method-design description: > Design statistical methods, baselines, diagnostics, variants, and ablations that directly address a formal problem formulation. metadata: category: domain trigger-keywords: "method proposal,estimator,algorithm,baseline,ablation,diagnostic,statistical method" applicable-stages: "3,4,5,6,7,8" priority: "1"
Statistical Method Design
Overview
Use this skill after formal problem formulation. The method should be a response to the formal target and assumptions, not a generic collection of techniques.
Required Method Proposal
For each method:
- Name
- Problem it solves
- Formula or algorithm
- Inputs and outputs
- Tuning parameters
- Required assumptions
- Diagnostics
- Expected failure modes
- Computational cost
- Relation to baselines
Baselines and Ablations
Always define meaningful baselines:
- Classical or standard method
- Naive or unadjusted method
- Oracle or idealized reference when available
- Robust variant
- Ablation removing the key design feature
Method-to-Claim Map
Every method must connect to at least one claim:
method_to_claim_map:
proposed_method:
claims: [C1, C2]
expected_evidence: "lower risk under stress condition"
theory_target: "consistency under assumptions A1-A3"