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.