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) |

指导统计假设检验的选择和解释。在以下情况下使用：(1) 为研究数据选择适当的测试，(2) 在分析前检查假设，(3) 正确解释测试结果，(4) 报告统计结果，(5) 对违反假设的情况进行故障排除。 来源：astoreyai/ai_scientist。

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