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statistical-analysis

Apply statistical tests and summaries to analyze distributions, trends, and outliers.

Updated Apr 8, 2026
Search Tags:#hypothesis testing#statistics#trend analysis#data interpretation#business metrics#seasonality#outlier detection
One-click install
npx skills add https://github.com/sun2443/designer-skills --skill statistical-analysis-sun2443
Or copy as Structured Prompt for Agent▼
Please help me install this Agent Skill.
Skill: statistical-analysis
Source: https://github.com/sun2443/designer-skills/tree/main/data/skills/statistical-analysis
Command: npx skills add https://github.com/sun2443/designer-skills --skill statistical-analysis-sun2443

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

This Skill helps you analyze data responsibly by applying descriptive statistics, trend analysis, outlier detection, and hypothesis testing so your conclusions are statistically sound and clearly explained.

Core Features & Use Cases

  • Descriptive statistics & distribution summaries: Choose appropriate measures of center and spread, report percentiles, and describe distribution shape, bounds, and outliers.
  • Trend, growth, and seasonality analysis: Compare periods (WoW/MoM/YoY), compute growth rates, and detect recurring patterns for more accurate interpretation.
  • Outliers, anomalies, and cautionary interpretation: Use robust outlier methods, distinguish point anomalies vs. change points, and apply safety checks like correlation ≠ causation, multiple comparisons, and bias awareness.
  • Hypothesis testing for experiments and comparisons: Select common tests (t-test, z-test, paired t-test, ANOVA, Mann-Whitney, chi-squared) and interpret results with effect size and confidence intervals.

Quick Start

Use the statistical-analysis skill to analyze an attached dataset by describing its distribution, identifying likely outliers, and testing whether a before/after or A/B change is statistically and practically meaningful.

Frequently Asked Questions about statistical-analysis

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

FAQPage Schema
How do I run hypothesis testing on A/B test results to check statistical significance?▼

Trend analysis compares periods like WoW, MoM, or YoY by computing growth rates and detecting recurring seasonality patterns, helping you interpret business metrics accurately and distinguish true growth from normal cyclical fluctuations.

What is the best way to detect outliers and anomalies in my dataset?▼

Outlier detection uses robust statistical methods to distinguish point anomalies from change points in your data distribution, applying safety checks to prevent misinterpreting anomalies and maintaining clear caution about potential biases in the analysis.

Can I use descriptive statistics to summarize data distributions and identify outliers?▼

Descriptive statistics summarize distributions by selecting appropriate measures of center and spread, reporting percentiles, and describing distribution shape and bounds, which naturally highlights likely outliers for more reliable data interpretation.

How do I interpret correlation versus causation when analyzing business metrics?▼

Interpreting correlations requires explicit caution that correlation does not equal causation, applying safety checks for multiple comparisons and bias awareness to ensure your business decisions are based on statistically sound conclusions rather than spurious dataset signals.

When do I need to use ANOVA or chi-squared tests for comparing data segments?▼

Use ANOVA for comparing means across multiple segments or variants, and chi-squared tests for categorical data relationships, interpreting experimental outcomes with effect size and confidence intervals to evaluate metric changes properly.

What are the limitations of statistical analysis for evaluating metric changes?▼

Limitations include risks from multiple comparisons inflating false positives, biases in dataset signals, and confusing correlation with causation, requiring careful selection of summary statistics and tests to avoid unsound business decisions.

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