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statistical-analysis - Guided statistical analysis for research data

Selects and runs statistical tests, checks assumptions, calculates effect sizes and power, evaluates Bayesian alternatives, and formats APA-style results.

Tags

Updated: 2026-10-06

Capabilities

Typical Inputs

Typical Outputs

What this skill does

  • Frame research hypotheses
  • Inspect data distributions
  • Select statistical tests
  • Check test assumptions
  • Run hypothesis tests
  • Calculate effect sizes
  • Conduct power analyses
  • Evaluate Bayesian alternatives
  • Format APA reports

Inputs

  • Research question
  • Outcome variables
  • Predictor variables
  • Study design
  • Research data
  • Significance level

Outputs

  • Test selection
  • Assumption diagnostics
  • Statistical test results
  • Effect size estimates
  • Power analysis results
  • Bayesian analysis results
  • Data visualizations
  • APA-formatted report

Requirements

  • Python 3.10 or later
  • pingouin
  • SciPy
  • statsmodels
  • pandas
  • matplotlib
  • seaborn
  • PyMC for Bayesian modeling
  • ArviZ for Bayesian diagnostics

Source

  • Spec: SKILL.md
statistical analysis
hypothesis testing
assumption checking
effect sizes
power analysis
Bayesian statistics
research methods
APA reporting
Frame research hypotheses
Inspect data distributions
Select statistical tests
Check test assumptions
Research question
Outcome variables
Predictor variables
Test selection
Assumption diagnostics
Statistical test results