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
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Mar 16, 2026