CtrlK
BlogDocsLog inGet started
Tessl Logo
SkillPublic

statistical-analysis

Guided statistical analysis for research data - test selection, assumption checking, effect sizes, power analysis, Bayesian alternatives, and APA-formatted reporting. Use whenever a user wants to compare groups, test a hypothesis, analyze experimental or survey data, check statistical assumptions, compute required sample sizes, or write up results - even if they never name a specific test. Covers t-tests, ANOVA, chi-square, correlation, regression, non-parametric and Bayesian methods. For low-level model APIs, see the statsmodels and pymc skills.

77

Quality

97%

Does it follow best practices?

Run evals on this skill

Adds up to 20 points to the overall score

View guide
SecuritybySnyk

Passed

No findings from the security scan

SKILL.md
Quality
Evals
Security

Quality

Content

92%Weight 40%Scale 1-5

Reviews the quality of instructions and guidance provided to agents. Good implementation is clear, handles edge cases, and produces reliable results.

A strong, expert-level body: fully executable examples with rare version-specific gotchas, a validated workflow with feedback loops, and clean one-level-deep reference structure. The only weakness is mild verbosity - some textbook benchmark material and length that could be trimmed.

Suggestions

Move the effect-size benchmark table (Cohen's d 0.20/0.50/0.80 etc.) and other textbook conventions into references/effect_sizes_and_power.md, keeping only a pointer plus the caveat that benchmarks are conventions - Claude already knows these thresholds.

Tighten the Statistical Integrity section by compressing widely known principles (e.g., 'a p-value does not prove that an effect exists', multiple-comparison basics) into one-line rules, reserving prose for the less-obvious guidance such as the missing-data MCAR/MNAR nuances.

The full APA report templates are illustrative and long; consider keeping one complete exemplar inline and pointing to references/reporting_standards.md for the remaining templates to reduce body length.

DimensionReasoningScore

Conciseness

The body is dense with genuinely non-obvious, high-value content (version-specific gotchas like "Pingouin >= 0.6 column names", "ttest reports absolute Cohen's d", "ArviZ 1.x defaults to 89% intervals"), but includes some textbook material Claude already knows (the Cohen/eta-squared benchmark table "0.20 / 0.50 / 0.80", "a p-value does not prove that an effect exists") and runs long at ~440 lines. It sits between anchors 3 and 4, noticeably above the midpoint: mostly efficient with minor trims available.

4 / 5

Actionability

Every section carries executable, copy-paste-ready code or commands: uv install commands, pg.ttest/pg.anova/sm.OLS/pm.sample blocks with API gotchas inline ("solve_power returns the TOTAL sample size, not n per group"), and fill-in report templates. The common cases (t-test, ANOVA, regression, Bayesian t-test, power) are all covered with complete runnable examples.

5 / 5

Workflow Clarity

The six-step Analysis Workflow is clearly sequenced with an explicit validation checkpoint ("Check assumptions... do not switch tests automatically at a diagnostic p-value threshold"), a dedicated feedback loop for violations ("What to Do When Assumptions Are Violated"), Bayesian convergence gates ("inspect finite R-hat/ESS/MCSE, divergences and posterior predictions before reporting"), and a 7-point "Statistical Integrity" checklist - matching the anchor-5 pattern of sequence plus validation plus error-recovery plus checklist.

5 / 5

Progressive Disclosure

The SKILL.md body is an overview with quick references, and each domain (test selection, assumptions, effect sizes/power, Bayesian, reporting) is split into a real, clearly signaled one-level-deep references/*.md file (all verified to exist), plus a bundled script catalogued with its functions in "Bundled Resources". Navigation is easy and nothing is nested beyond one level.

5 / 5

Total

19

/

20

Passed

Description

100%Weight 40%Scale 1-5

Based on the skill's description, can an agent find and select it at the right time? Clear, specific descriptions lead to better discovery.

An exemplary description: concrete actions, comprehensive natural trigger terms, explicit what-and-when structure, and explicit disambiguation against neighboring skills. It mirrors the strongest reference example in the rubric.

DimensionReasoningScore

Specificity

The description lists six concrete capability actions ("test selection, assumption checking, effect sizes, power analysis, Bayesian alternatives, and APA-formatted reporting") plus explicit method coverage ("t-tests, ANOVA, chi-square, correlation, regression, non-parametric and Bayesian methods"), matching the comprehensiveness of the anchor-5 example. It is not a 4 because no meaningful capability within the domain is left out.

5 / 5

Completeness

It clearly answers both questions: the "what" is the enumerated capability list, and the "when" is the explicit "Use whenever a user wants to..." clause with concrete trigger phrases, exactly matching the anchor-5 pattern. Third-person voice is used throughout.

5 / 5

Trigger Term Quality

Natural user phrasings are comprehensively covered: "compare groups, test a hypothesis, analyze experimental or survey data, check statistical assumptions, compute required sample sizes, or write up results - even if they never name a specific test." The clause covering users who never name a test adds a synonym-level breadth that anchor 4's "a few natural terms missing" does not.

5 / 5

Distinctiveness Conflict Risk

The research-statistics niche is distinct, and the description explicitly fences off adjacent skills ("For low-level model APIs, see the statsmodels and pymc skills"), actively minimizing conflict risk rather than merely having minimal overlap.

5 / 5

Total

20

/

20

Passed

Validation

100%

Checks the skill against the spec for correct structure and formatting. All validation checks must pass before discovery and implementation can be scored.

Validation — 16 / 16 Passed

Validation for skill structure

No warnings or errors.

Repository

K-Dense-AI/scientific-agent-skills

Path

skills/statistical-analysis/SKILL.md

Reviewed

Table of Contents

Is this your skill?

If you maintain this skill, you can claim it as your own. Once claimed, you can manage eval scenarios, bundle related skills, attach documentation or rules, and ensure cross-agent compatibility.