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| ANOVA một chiều Bayes× | Kiểm định t mẫu độc lập Bayes× | |
|---|---|---|
| Lĩnh vực | Thống kê | Thống kê |
| Họ | Hypothesis test | Hypothesis test |
| Năm ra đời≠ | 1961 (foundations); 2012 (ANOVA Bayes factors) | 2009 (modern form); 1961 (Jeffreys prior framework) |
| Người khởi xướng≠ | Harold Jeffreys (foundations); Jeffrey Rouder et al. (default priors for ANOVA) | Harold Jeffreys (foundational); operationalized by Rouder et al. |
| Loại | Bayesian hypothesis test | Bayesian hypothesis test |
| Công trình gốc≠ | 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 ↗ | 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 ↗ |
| Tên gọi khác | Bayesian ANOVA, BF ANOVA, Bayes factor one-way ANOVA, Bayesian F-test | Bayesian two-sample t-test, Bayes factor t-test, JZS t-test, Bayesian unpaired t-test |
| Liên quan | 3 | 3 |
| Tóm tắt≠ | 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. | The Bayesian independent samples t-test quantifies evidence for or against a mean difference between two independent groups using a Bayes factor rather than a p-value. Rooted in Jeffreys's probability framework and popularized by Rouder et al. (2009), it places a Cauchy prior on the standardized effect size and returns continuous evidence for both the null and alternative hypotheses. |
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