Overview
Statistics with discipline: hypotheses, comparisons and decision thresholds are written down before anything runs, then executed from the prespecified plan — two-group and paired tests, analysis of variance with post-hoc comparisons, nonparametric tests, contingency tables and correlations, standard regression, and pre-experiment sample-size solving. Every result carries its effect size and confidence interval, reported with descriptives in academic style; non-significant findings stay in.
Assumption checks (normality, variance equality) accompany the report as information, never as an automatic switch of tests; missing cells follow stated rules with counts; the same data and plan reproduce the same numbers for review.
Out of scope, stated plainly: Bayesian analysis, multilevel models, survival analysis, meta-analysis and time-series fitting — declined rather than approximated.
Where it helps
- Compare two independent groups: Welch t plus effect size with CI
- Run multi-group ANOVA followed by Tukey HSD post-hoc tests
- Solve the sample size needed to reach target power before the experiment
- OLS regression with diagnostics and robust errors, reported in APA form
#statistics#tests#regression#reproducible
Examples
Examples describe the request and the shape of the expected deliverable; they are not completed run results.
01Example prompt
Run the group comparison per this plan: descriptives, Welch t-test, effect size, assumption checks — keep non-significant results in the report.
Expected output
Full test results with effect sizes, confidence intervals and assumption checks; odd screens are reported, never used to auto-switch tests.
02Example prompt
How many paired samples for d=0.5, power 0.8, two-sided α=0.05? Also solve the d=0.4 case.
Expected output
Both solved sample sizes with stated assumptions, labeled a-priori power estimates rather than outcome guarantees.
Requirements and limits
- Install platforms
- iOS: iOS · Android: Android
- Script runtime
- Runs scripts in the task environment
- Minimum app version
- 1.7.60
Reviewed permission scope
iOS · Android
- Capabilities
- Remote executionRead workspace filesWrite workspace files
- Reviewed tools
- Shell commands
- Reviewed dependencies
- numpy==2.2.4 · scipy==1.15.3 · pandas==2.2.3 · statsmodels==0.14.4 · matplotlib==3.10.1
- Review decision
- Approved
- Review stage
- Guest execution qualification
- Reviewed on
- 2026-10-27
Implementation and runtime details
- Adaptation stage
- frozen
iOS
- Tools
- Shell commands
- Capabilities
- Remote executionRead workspace filesWrite workspace files
- Runtime environment
- linux / riscv64 · guest-verified
Android
- Tools
- Shell commands
- Capabilities
- Remote executionRead workspace filesWrite workspace files
- Runtime environment
- linux / riscv64 · guest-verified
License and source
Source and trace details
License
MIT
MIT (root LICENSE.md)
MIT at the pinned upstream revision; full license and per-file adaptation/asset audit are preserved in references/licenses/. Floe additions and synthetic fixtures are identified separately.
- Source
- https://github.com/K-Dense-AI/scientific-agent-skills
- Upstream path
- skills/statistical-analysis
- Source checked
- 2026-10-26
- Publisher
- JiangNanGenius
- Publication commit (retrieval)
- 25e07dbeeb6cc93c2fe83ddc72a34302cc40832a
- Audited source commit
- 84c524b6fb483e4cad94db076e7d9c9962966c19
- Signed catalog digest
- iOS 46196ba57ed7ea7f22085e74b113207f31193e820ab8983cf7a60eee953f2340 · Android 16de89d019e2057804a40f215485ccb09d5495a25864b34d681168eeaf8f9697
- Publication snapshot (UTC)
- 2026-10-31
Publication commit 25e07dbeeb, audited source 84c524b6fb; catalog digest iOS 46196ba57ed7… · Android 16de89d019e2….
Versions and status
Version records ship with the signed catalog; the target and released versions are shown below.
- Adaptation
- Ready
- Publication state
- Curated skills are available
- Deep adaptation
- Yes
- Released version
- 1.1.0