statistical-analysis

Translate raw data into statistical conclusions via hypothesis testing and forecasting.

17|5|Updated Feb 6, 2026
One-click install
npx skills add https://github.com/MonumentalSystems/Atlas-Agent-Teams --skill statistical-analysis-monumentalsystems
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: statistical-analysis
Source: https://github.com/MonumentalSystems/Atlas-Agent-Teams/tree/main/teams/data-science/skills/statistical-analysis
Command: npx skills add https://github.com/MonumentalSystems/Atlas-Agent-Teams --skill statistical-analysis-monumentalsystems

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

It helps you summarize data and test claims rigorously so you can choose experiments, interpret results, and make decisions with quantified uncertainty instead of guesswork.

Core Features & Use Cases

  • Descriptive and inferential statistics: compute central tendency, dispersion, correlations, confidence intervals, and hypothesis tests using p-values and effect sizes.
  • A/B testing and experimental design: define control vs. treatment groups, select guardrail/primary metrics, calculate sample size needs via power and effect assumptions, and avoid validity pitfalls.
  • Time series analysis and forecasting: assess stationarity, decompose trend/seasonality/noise, and apply forecasting methods like ARIMA or exponential smoothing.

Quick Start

Ask the AI to design an A/B test for your product metric, including hypothesis setup, sample size rationale with power, and the specific statistical test to use.

Frequently Asked Questions about statistical-analysis

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

FAQPage Schema
How do I calculate sample size for an A/B test with proper statistical power?

To calculate A/B test sample size, you need to define control versus treatment groups, select guardrail and primary metrics, and derive sample size requirements using statistical power and effect size assumptions to avoid validity pitfalls.

What is the best way to run hypothesis testing and correct for multiple comparisons?

Hypothesis testing evaluates null and alternative hypotheses using p-values and effect sizes, while multiple-comparison correction methods adjust statistical conclusions to control error types when testing numerous metrics simultaneously.

How does time series forecasting handle trend and seasonality decomposition?

Time series forecasting assesses data stationarity and decomposes metrics into trend, seasonality, and noise components, applying methods like ARIMA or exponential smoothing to generate predictions for business tasks.

Can I use descriptive statistics to summarize raw experimental data?

Descriptive statistics summarize raw experimental and observational data by computing central tendency, dispersion, correlations, and confidence intervals to translate metrics into actionable statistical conclusions.

When do I need to check stationarity before applying forecasting methods?

You must check stationarity before time series forecasting because non-stationary data destabilizes models; decomposing trend, seasonality, and noise ensures your ARIMA or exponential smoothing predictions remain valid.

Why does multiple testing increase error rates in experimental design?

Multiple testing increases error rates because evaluating numerous hypotheses simultaneously raises the probability of false positives, requiring correction methods to maintain valid statistical conclusions across experiments.