statistical-analysis

Topics in the source

• Statistical Analysis
• Overview
• When to Use This Skill
• Core Capabilities
• 1. Test Selection and Planning
• 2. Assumption Checking
• 3. Statistical Testing
• 4. Effect Sizes and Interpretation

Statistical analysis is a systematic process for testing hypotheses and quantifying relationships. Conduct hypothesis tests (t-test, ANOVA, chi-square), regression, correlation, and Bayesian analyses with assumption checks and APA reporting. Apply this skill for academic research. This skill should be used when: Conducting statistical hypothesis tests (t-tests, ANOVA, chi-square) 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 -- Choose appropriate statistical tests based on research questions and data characteristics Conduct a priori power analyses to determine required sample sizes Plan analysis strategies including multiple comparison corrections Automatically verify all relevant assumptions before running tests Provide diagnostic visualizations (Q-Q plots, residual plots, box plots) Recommend remedial actions when assumptions are violated Hypothesis testing: t-tests, ANOVA, chi-square, non-parametric alternatives Regression: linear, multipl

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