statistical-analysis

Analyze data distributions and perform statistical assessments with hypothesis tests.

1|Updated Feb 25, 2026
One-click install
npx skills add https://github.com/mattmacleod16-svg/freedomforge-max --skill statistical-analysis-mattmacleod16-svg
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Skill: statistical-analysis
Source: https://github.com/mattmacleod16-svg/freedomforge-max/tree/main/.agents/skills/statistical-analysis
Command: npx skills add https://github.com/mattmacleod16-svg/freedomforge-max --skill statistical-analysis-mattmacleod16-svg

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes scripts (resource) components.

What problem does it solve?

Descriptive statistics, trend analysis, outlier detection, hypothesis testing, and guidance on when to be cautious about statistical claims.

Core Features & Use Cases

  • Central Tendency: guidance on choosing mean, median, or mode based on distribution.
  • Spread and Percentiles: report standard deviation, IQR, CV, and percentile context to inform decisions.
  • Trend Analysis & Forecasting: detect trends, seasonal patterns, and provide simple forecasts with uncertainty notes.
  • Hypothesis Testing & Inference: outline null/alternative hypotheses, p-values, confidence intervals, and practical significance.

Quick Start

Provide a concise descriptive statistics summary for your dataset and interpret the results.

Frequently Asked Questions about statistical-analysis

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

FAQPage Schema
How do I calculate descriptive statistics for my dataset and interpret the results?

To calculate descriptive statistics, you compute central tendency using mean, median, or mode based on your data distribution. You also measure spread using standard deviation, IQR, and percentiles to provide context for business analytics decisions.

How do I perform hypothesis testing and understand p-values for my experiments?

Performing hypothesis testing involves outlining null and alternative hypotheses, calculating p-values, and determining confidence intervals. You must evaluate both statistical and practical significance to draw valid inferences from your experimentation data.

What is the best way to detect outliers and anomalies in numeric data?

The best way to detect outliers in numeric data is by analyzing spread and percentiles. Using standard deviation and interquartile range (IQR) helps identify anomalies and robustly handle data distributions for quality control.

Can I use trend analysis and forecasting to detect seasonal patterns in business analytics?

Yes, you can use trend analysis to detect seasonal patterns in business analytics. This process identifies trends over time and provides simple forecasts, complete with uncertainty notes to guide research and decision-making.

When should I use the median instead of the mean for central tendency?

You should use the median instead of the mean for central tendency when your data distribution is skewed or contains extreme outliers. The median provides a more robust measure of central tendency for such numeric data.

What are the limitations of using p-values to determine practical significance?

A key limitation of p-values is that they only indicate statistical significance, not practical significance. You must interpret confidence intervals and effect sizes alongside p-values to avoid making cautious statistical claims.