statistical-analysis

Summarize distributions, detect outliers, and test statistical significance in business analytics.

2|Updated Apr 8, 2026
One-click install
npx skills add https://github.com/miptah21/skills --skill statistical-analysis-miptah21
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: statistical-analysis
Source: https://github.com/miptah21/skills/tree/main/.agents/skills/statistical-analysis
Command: npx skills add https://github.com/miptah21/skills --skill statistical-analysis-miptah21

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

This Skill helps you summarize distributions, detect anomalies, analyze trends, and evaluate whether observed differences are likely real rather than random.

Core Features & Use Cases

  • Descriptive statistics: Choose appropriate measures of center and spread (mean/median, SD/IQR, CV, percentiles) and interpret distribution shape and skew for business metrics.
  • Trend and forecasting: Compare periods (WoW/MoM/YoY), compute growth rates, check seasonality, and produce simple forecasts with uncertainty ranges.
  • Outliers, anomalies, and testing: Detect outliers via z-score/IQR/percentiles, distinguish point anomalies vs change points, and apply hypothesis testing with practical vs statistical significance plus sample-size and caution guidance.

Quick Start

Apply statistical-analysis to a dataset of weekly conversions by computing descriptive stats (median, IQR, key percentiles), flagging outlier weeks, testing whether conversion changes between two periods are significant, and summarizing trend and uncertainty for a product decision.

Frequently Asked Questions about statistical-analysis

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

FAQPage Schema
How do I test if a difference in business metrics between two periods is statistically significant?

Hypothesis testing evaluates whether observed differences in business metrics are statistically meaningful by defining H0/H1, setting an alpha significance level, and interpreting p-values. It distinguishes practical versus statistical significance while checking sample-size adequacy.

What is the best way to detect outliers and anomalies in my product analytics data?

Outlier detection in product analytics identifies anomalies using z-score, IQR, or percentile thresholds. It distinguishes isolated point anomalies from sustained change points, helping you filter messy data before computing central tendency and spread metrics.

How do I summarize skewed distributions for descriptive reporting without using the wrong metrics?

Descriptive reporting summarizes skewed distributions by selecting appropriate measures of center and spread such as median and IQR instead of mean and standard deviation. It interprets distribution shape, percentiles, and coefficient of variation for business metrics.

Can I use statistical analysis for simple forecasting and trend evaluation across WoW or MoM periods?

Statistical analysis supports trend evaluation and simple forecasting by computing WoW, MoM, or YoY growth rates. It checks for seasonality patterns and produces forecasts with uncertainty ranges to guide product decisions.

When should I worry about correlation vs causation or multiple comparisons fallacies in A/B testing?

A/B testing safeguards prevent common statistical fallacies by applying corrections for multiple comparisons and explicitly separating correlation from causation. It ensures observed metric differences reflect true effects rather than random noise or confounding variables.