方法对比
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| 贝叶斯单因素方差分析× | 单因素方差分析× | |
|---|---|---|
| 领域 | 统计学 | 统计学 |
| 方法族 | Hypothesis test | Hypothesis test |
| 起源年份≠ | 1961 (foundations); 2012 (ANOVA Bayes factors) | 1925 |
| 提出者≠ | Harold Jeffreys (foundations); Jeffrey Rouder et al. (default priors for ANOVA) | Ronald A. Fisher |
| 类型≠ | Bayesian hypothesis test | Parametric mean comparison |
| 开创性文献≠ | Rouder, J. N., Morey, R. D., Speckman, P. L., & Province, J. M. (2012). Default Bayes factors for ANOVA designs. Journal of Mathematical Psychology, 56(5), 356–374. DOI ↗ | Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗ |
| 别名 | Bayesian ANOVA, BF ANOVA, Bayes factor one-way ANOVA, Bayesian F-test | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA |
| 相关≠ | 3 | 4 |
| 摘要≠ | Bayesian one-way ANOVA tests whether the means of three or more independent groups differ by computing a Bayes factor — a ratio that quantifies how much more likely the data are under a model that allows group differences than under the null model that assumes equal means. Unlike the classical F-test, it provides direct evidence for or against the null hypothesis rather than merely rejecting or retaining it. | One-way ANOVA is a parametric hypothesis test that compares the means of three or more independent groups on a single continuous outcome to decide whether at least one group mean differs. It rests on the variance-partitioning framework introduced by Ronald A. Fisher in 1925. |
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