方法对比
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| 贝叶斯 Mann-Whitney U 检验× | 独立样本 t 检验× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Hypothesis test | Hypothesis test |
| 起源年份≠ | 2020 (Bayesian formulation); 1947 (classical test) | 1908 |
| 提出者≠ | van Doorn, Ly, Marsman, Wagenmakers (building on Mann & Whitney 1947) | Student (W. S. Gosset) |
| 类型≠ | Bayesian nonparametric two-sample test | Parametric mean comparison |
| 开创性文献≠ | van Doorn, J., Ly, A., Marsman, M., & Wagenmakers, E.-J. (2020). Bayesian rank-based hypothesis testing for the rank sum test, the signed rank test, and Spearman's rho. Journal of Applied Statistics, 47(16), 2984–3006. DOI ↗ | Student (W. S. Gosset) (1908). The probable error of a mean. Biometrika, 6(1), 1–25. DOI ↗ |
| 别名≠ | Bayesian rank-sum test, Bayesian Wilcoxon rank-sum test, Bayesian nonparametric two-sample test | two-sample t-test, unpaired t-test, Student t-test, independent groups t-test |
| 相关≠ | 3 | 4 |
| 摘要≠ | The Bayesian Mann-Whitney U test is a nonparametric Bayesian procedure for comparing two independent groups when data are ordinal or non-normal continuous. Instead of a binary reject/fail-to-reject decision, it quantifies the relative evidence for the null and alternative hypotheses through a Bayes factor, allowing researchers to conclude in favour of either hypothesis or express uncertainty. | The independent samples t-test is a parametric hypothesis test that determines whether the means of two independent, unrelated groups differ significantly on a continuous outcome variable. Derived from Gosset's 1908 t-distribution, it is one of the most widely used inferential tests in social, behavioral, biomedical, and experimental sciences. |
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