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| 贝叶斯 t 检验× | Mann-Whitney U 检验× | |
|---|---|---|
| 领域≠ | 贝叶斯 | 统计学 |
| 方法族≠ | Bayesian methods | Hypothesis test |
| 起源年份≠ | 2009 | 1947 |
| 提出者≠ | Rouder, Speckman, Sun, Morey & Iverson | H. B. Mann & D. R. Whitney |
| 类型≠ | Bayesian hypothesis test | Nonparametric two-group comparison |
| 开创性文献≠ | Rouder, J. N., Speckman, P. L., Sun, D., Morey, R. D. & Iverson, G. (2009). Bayesian t Tests for Accepting and Rejecting the Null Hypothesis. Psychonomic Bulletin & Review, 16(2), 225–237. DOI ↗ | Mann, H. B. & Whitney, D. R. (1947). On a test of whether one of two random variables is stochastically larger than the other. Annals of Mathematical Statistics, 18(1), 50–60. DOI ↗ |
| 别名 | bayesian two-sample t-test, bayes factor t-test, Bayesçi t-Testi | Mann-Whitney-Wilcoxon test, Wilcoxon rank-sum test, Mann-Whitney U Testi |
| 相关≠ | 5 | 4 |
| 摘要≠ | The Bayesian t-test, formalised by Rouder and colleagues in 2009, is a two-group comparison method that works within a Bayesian framework. Instead of a p-value, it produces a Bayes Factor (BF₁₀) that quantifies the evidence the data provide for the alternative hypothesis relative to the null, and it reports the full posterior distribution of the standardised effect size δ with a highest-density interval. | The Mann-Whitney U test is the nonparametric alternative to the independent samples t-test, comparing two independent groups by ranking all observations together rather than relying on their means. It was introduced by H. B. Mann and D. R. Whitney in 1947 and does not require the data to be normally distributed. |
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