statistical-analysis
Installation
SKILL.md
Statistical Analysis
Overview
Statistical analysis is the systematic process of selecting appropriate tests, verifying assumptions, quantifying effect magnitudes, and reporting results. This knowhow guides test selection, assumption diagnostics, and APA-style reporting for frequentist and Bayesian analyses in academic research.
Key Concepts
Frequentist vs Bayesian Framework
| Aspect | Frequentist | Bayesian |
|---|---|---|
| Core output | p-value, confidence interval | Posterior distribution, credible interval |
| Interpretation | "How likely is this data if H0 is true?" | "How likely is H1 given the data?" |
| Null support | Cannot support H0 (only fail to reject) | Can quantify evidence for H0 via Bayes Factor |
| Prior info | Not used | Incorporated via prior distributions |
| Sample size | Requires adequate power | Works with any sample size |
| Best for | Standard analyses, large samples | Small samples, prior info, complex models |