tda-statistical-modeling-toolkit

Fits and reviews non-topological statistical models as baselines and robustness checks for TDL research.

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

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve? It enforces disciplined specification, fitting, and reporting of conventional statistical models (GLMs, survival models, Bayesian checks) so they support topological data analysis claims without overstating causal or paper-scope conclusions. ## Core Features & Use Cases - Model Specification Discipline: Classifies each model as confirmatory, exploratory, robustness, baseline, or diagnostic, and requires explicit family, link, covariates, weights, clustering, and missing-data rules. - Provenance-Linked Reporting: Requires sample provenance references, effect sizes with uncertainty intervals, and a structured output record tying results to specific paper claims. - Use Case: When adding a logistic regression robustness check to a TDA paper, the skill forces you to cite the fitted-sample provenance, report effect sizes alongside p-values, and state exactly which claim the model can support. ## Quick Start Ask the assistant to fit a logistic regression robustness check for paper target P01-A using the fitted sample provenance and report effect sizes with confidence intervals.

Frequently Asked Questions about tda-statistical-modeling-toolkit

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

FAQPage Schema
How do I add a statistical robustness check to a TDA paper?

Classify the model as robustness, state the statistical question, reference the fitted sample's provenance block, and specify family, link, covariates, and clustering. Report effect sizes with uncertainty intervals and name exactly which paper claim the result supports.

What statistical models does this toolkit cover?

It covers GLMs, OLS, logistic and probit regression, survival models, clustered models, bootstrap summaries, Bayesian robustness checks, simulation-based sensitivity checks, and power analysis. It explicitly excludes persistent homology computation and design-validity auditing.

Can I report a p-value alone as a model result?

No. A p-value alone is treated as an incomplete result. Every reported model must include effect sizes and uncertainty intervals, plus diagnostics and a provenance source before the result is usable.

When should I escalate instead of fitting a model?

Escalate when the estimand or eligibility rule is unclear, routing to panel-estimand-audit first. Also escalate when a result would become a headline paper claim, which requires full lane review before any prose is written.

Does this skill handle causal inference claims?

Only under strict conditions. Causal language is forbidden unless a causal design with an explicit identification strategy and named assumptions has been specified and reviewed. Otherwise results must use associational language bounded by the model classification.