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skills/results-interpretation/SKILL.md

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+---
+name: results-interpretation
+description: "Interpret statistical results correctly and comprehensively. Use when: (1) Writing results sections, (2) Discussing findings, (3) Avoiding common misinterpretations, (4) Reporting effect sizes and confidence intervals."
+allowed-tools: Read, Write
+version: 1.0.0
+---
+
+# Results Interpretation Skill
+
+## Purpose
+Correctly interpret and report statistical findings with appropriate nuance.
+
+## Key Principles
+
+**1. Effect Size > p-value**
+- Report effect sizes with 95% CI
+- Statistical significance ≠ practical importance
+
+**2. Confidence Intervals**
+- Range of plausible values
+- Precision of estimate
+- If CI includes 0, not statistically significant
+
+**3. P-values**
+- Probability of data given H0
+- NOT: Probability H0 is true
+- NOT: Probability of replication
+
+**4. Multiple Comparisons**
+- Adjust alpha if running many tests
+- Distinguish primary vs exploratory
+
+## Correct Reporting
+
+**Example:**
+"The intervention group showed higher scores (M=45.2, SD=8.3) than control (M=37.8, SD=9.1), t(98)=3.45, p<.001, d=0.69, 95% CI[0.29, 1.09]. This represents a medium-to-large effect."
+
+**Include:**
+- Descriptive statistics
+- Test statistic and df
+- P-value
+- Effect size with CI
+- Interpretation
+
+---
+**Version:** 1.0.0