name: analyzing-data description: "Statistical analysis toolkit for hypothesis testing, regression, correlation, Bayesian statistics, power analysis, and APA reporting. USE when conducting academic research, analyzing experimental data, testing hypotheses with t-tests or ANOVA, performing regression analyses, calculating effect sizes, checking statistical assumptions, or generating publication-ready statistical reports. Do not use for literature reviews, tool selection, or methodology design → see conducting-research skill." allowed-tools: [Read, Write, Edit, Bash]

Statistical Analysis Protocol

When to Use This Skill

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

Core Capabilities

• Test Selection and Planning: Choose appropriate tests and compute power. See references/test_selection_guide.md.
• Assumption Checking: Verify normality, homogeneity, etc. See references/assumptions_and_diagnostics.md.
• Statistical Testing: hypothesis testing, regression, correlation, Bayesian. See references/analysis-examples.md.
• Effect Sizes: Calculate and interpret. See references/effect_sizes_and_power.md.
• Reporting: APA-style reports. See references/reporting_standards.md.

Workflow Decision Tree

Use this decision tree to determine your analysis path:

START
│
├─ Need to SELECT a statistical test?
│  └─ YES → See [references/test_selection_guide.md](references/test_selection_guide.md)
│  └─ NO → Continue
│
├─ Ready to check ASSUMPTIONS?
│  └─ YES → See [references/assumptions_and_diagnostics.md](references/assumptions_and_diagnostics.md)
│  └─ NO → Continue
│
├─ Ready to run ANALYSIS?
│  └─ YES → See [references/analysis-examples.md](references/analysis-examples.md)
│  └─ NO → Continue
│
└─ Need to REPORT results?
   └─ YES → See [references/report-templates.md](references/report-templates.md)

Resources

• references/test_selection_guide.md: Decision tree for choosing tests.
• references/assumptions_and_diagnostics.md: Guidance on assumption checks.
• references/effect_sizes_and_power.md: Effect sizes and power analysis.
• references/bayesian_statistics.md: Bayesian methods.
• references/reporting_standards.md: APA-style reporting.
• references/analysis-examples.md: Code examples for tests.
• references/report-templates.md: Report templates.

Scripts

• scripts/assumption_checks.py: Automated assumption checking tools.