statistical-analysis

Analyze business datasets with descriptive statistics, anomaly detection, and hypothesis tests.

1|Updated Feb 26, 2026
One-click install
npx skills add https://github.com/tmorrowdev/data-plugin --skill statistical-analysis-tmorrowdev
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: statistical-analysis
Source: https://github.com/tmorrowdev/data-plugin/tree/main/skills/statistical-analysis
Command: npx skills add https://github.com/tmorrowdev/data-plugin --skill statistical-analysis-tmorrowdev

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

Provides practical statistical guidance to summarize distributions, identify trends and anomalies, and assess whether observed differences are likely due to chance, so analysts can make defensible, business-focused conclusions.

Core Features & Use Cases

  • Descriptive statistics: Guidance on choosing mean, median, mode, standard deviation, IQR, and percentiles to characterize distributions.
  • Trend analysis & forecasting: Recommendations for moving averages, period-over-period comparisons, naive and seasonal forecasts, and communicating uncertainty.
  • Outlier & anomaly detection: Multiple robust detection methods (z-score, IQR, percentile) and a decision framework for handling data errors, genuine extremes, and segmentation.
  • Hypothesis testing: When and how to apply t-tests, chi-squared, ANOVA, nonparametric tests, interpretation of p-values, effect sizes, confidence intervals, and sample size considerations.
  • Use Case: Validate A/B test results, diagnose sudden metric changes in time series, and produce summary statistics for stakeholder reporting.

Quick Start

Analyze the dataset to compute descriptive statistics, flag outliers by IQR or z-score as appropriate, and run a suitable hypothesis test to compare the specified groups.

Frequently Asked Questions about statistical-analysis

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

FAQPage Schema
How do I choose the right hypothesis test for my A/B testing data?

To choose the right hypothesis test for A/B testing, match the data type and distribution to methods like t-tests for means, chi-squared for proportions, or nonparametric tests for non-normal data. It provides guidance on interpreting p-values, effect sizes, and confidence intervals.

What is the best way to detect outliers in a time series?

The best way to detect outliers in a time series is using robust methods like z-score, IQR, or percentile thresholds. It recommends appropriate estimators and moving average smoothing to distinguish genuine extremes from data errors in business datasets.

How do I calculate descriptive statistics for skewed distributions?

To calculate descriptive statistics for skewed distributions, use robust estimators like the median and IQR instead of the mean and standard deviation. It provides guidance on selecting percentiles to accurately characterize asymmetric data distributions.

Can I use moving averages for simple time-series forecasting?

Yes, you can use moving averages for simple time-series forecasting. It provides options for moving average smoothing, period-over-period comparisons, and naive or seasonal forecasts while communicating uncertainty in the trend analysis results.

When should I use nonparametric tests instead of ANOVA?

You should use nonparametric tests instead of ANOVA when your data does not meet normality assumptions or has small sample sizes. It offers a decision framework to help you select the correct hypothesis test and interpret the resulting effect sizes confidently.