statistical-analysislisted

# Statistical Analysis ## Overview Conduct hypothesis tests (t-tests, ANOVA, chi-square), regression, correlation, and Bayesian analyses with systematic assumption checking, effect sizes, and APA-style reporting. The goal is an analysis a reviewer could not tear apart: the right test, verified assumptions, honest effect sizes, and a complete write-up. ## Researcher confirmation points Before confirmatory analysis, obtain approval for any material choice not already fixed by a protocol: estimand, outcome and predictor definitions, exclusions, missing-data treatment, transformation, model or test family, multiplicity control, stopping rule, and sensitivity analyses. Do not select a method because it makes the observed result more favorable. Preserve the original plan, record deviations, and label exploratory results as exploratory. The accountable researcher owns substantive interpretation. ## When to Use This Skill Use this skill when: - Conducting statistical hypothesis tests (t-tests, ANOVA, chi-square, non-parametric) - Performing regression or correlation analyses - Running Bayesian statistical analyses - Checking statistical assumptions and diagnostics - Calculating effect sizes and conducting power analyses - Reporting statistical results in APA format - Analyzing experimental or observational data for research --- ## Installation Use **uv** to install the libraries used in this skill. Pin versions in production; unpinned installs are fine for exploration. ```b