hypothesis-test

SKILL.md

Guide appropriate selection and interpretation of statistical hypothesis tests for research data analysis.

| 2 groups, continuous outcome | Independent t-test | Normality, equal variance | | 2 measurements, same people | Paired t-test | Normality of differences | | 3+ groups, one factor | One-way ANOVA | Normality, homogeneity | | 3+ groups, multiple factors | Factorial ANOVA | Normality, homogeneity |

| Relationship between variables | Pearson correlation | Linearity, normality | | Predict continuous outcome | Linear regression | Linearity, normality of residuals | | 2 categorical variables | Chi-square test | Expected frequencies ≥5 | | Ordinal data, 2 groups | Mann-Whitney U | None (non-parametric) |

指導統計假設檢驗的選擇和解釋。在以下情況下使用：(1) 為研究數據選擇適當的測試，(2) 在分析前檢查假設，(3) 正確解釋測試結果，(4) 報告統計結果，(5) 對違反假設的情況進行故障排除。 來源：astoreyai/ai_scientist。

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