tda-statistical-analysis-review

Reviews statistical claims in paper-bound analyses for reporting completeness and proportionality.

1|Updated Dec 13, 2025
One-click install
npx skills add https://github.com/ZK-Theory/TDL --skill tda-statistical-analysis-review-zk-theory
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: tda-statistical-analysis-review
Source: https://github.com/ZK-Theory/TDL/tree/main/.agents/skills/tda-statistical-analysis-review
Command: npx skills add https://github.com/ZK-Theory/TDL --skill tda-statistical-analysis-review-zk-theory

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve? Statistical results headed for a paper often ship with incomplete reporting — a p-value without its test statistic, a Markov null without its order k, or prose claims stronger than the numbers support. This Skill provides a structured review pass that catches these gaps after the numbers exist and before prose depends on them. ## Core Features & Use Cases - Reporting-completeness checks: Verifies that test statistics and p-values are reported together, Markov order k is stated, both W2 and persistence landscape L2 appear in diagram-comparison claims, and uncertainty intervals are present. - Lane-audit orchestration: Routes design questions (denominator, exchangeability, clustering, FDR, estimands) to the owning audits such as statistical-design-audit and null-operation-invariance-audit rather than redoing them. - Claim proportionality and provenance: Checks that paper prose is no stronger than the statistics support, that sample counts cite sample_provenance.fitted by stage, and that PROVISIONAL flags are carried through. - Use Case: Before finalizing a P01-A results section, run this review to confirm every permutation test reports both statistic and p-value, every Markov null names its order k, and no provisional result is presented as final. ## Quick Start Review the statistical claims in my P01-B results section and flag any reporting-completeness or proportionality problems before submission.

Frequently Asked Questions about tda-statistical-analysis-review

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I review statistical claims before submitting a paper?

Run a structured review pass that states each inferential claim, its test statistic, and target section, then checks reporting completeness: statistic and p-value together, null model order named, uncertainty intervals present, and prose no stronger than the statistics support.

What should a statistical review of permutation tests check?

A permutation test review checks that both the test statistic and p-value are reported, the null model and its exchangeability assumptions are named, the multiple-comparison family is acknowledged, and sample counts are cited by reference to their provenance stage.

Does this review replace a statistical design audit?

No. This review owns reporting-completeness checks and orchestrates lane audits, but design validity dimensions like denominator, p-value formula, exchangeability, clustering, eligibility, and FDR are owned by the statistical-design-audit skill.

When should I not use this statistical review pass?

Do not use it for purely topological computations with no inferential claim — those go to topology validation or benchmark review instead. It is designed for claims-facing statistical output headed for a paper, not design-time analysis decisions.

What happens when a reviewed claim fails the review?

Items are marked PASS, CONCERN, or FAIL with the specific statistic, file, or passage and the required correction. If a lane audit invalidates an underlying result, the claim is blocked rather than softened, and fixes happen in a separate pass.