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| Kiểm định Hệ số Bayes× | Hồi quy Bayes× | Phân tích phương sai một yếu tố× | |
|---|---|---|---|
| Lĩnh vực≠ | Bayes | Bayes | Thống kê |
| Họ≠ | Bayesian methods | Bayesian methods | Hypothesis test |
| Năm ra đời≠ | 1961 | — | 1925 |
| Người khởi xướng≠ | Harold Jeffreys | — | Ronald A. Fisher |
| Loại≠ | Bayesian hypothesis comparison | Bayesian linear model | Parametric mean comparison |
| Công trình gốc≠ | Jeffreys, H. (1961). Theory of Probability (3rd ed.). Clarendon Press / Oxford University Press. ISBN: 978-0198503682 | Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955 | Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗ |
| Tên gọi khác≠ | bayes factor, BF10, Bayesian hypothesis test, Bayes Faktörü — Hipotez Testi | bayesian linear regression, probabilistic regression, bayesian regresyon | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA |
| Liên quan≠ | 3 | 2 | 4 |
| Tóm tắt≠ | The Bayes factor test, formalised by Harold Jeffreys in 1961, is a Bayesian method for comparing two competing hypotheses. Rather than returning a binary reject/retain verdict, it produces a continuous ratio BF₁₀ that quantifies how much more (or less) probable the data are under the alternative hypothesis H₁ than under the null hypothesis H₀. | Bayesian regression is a probabilistic version of linear regression that treats the model parameters as uncertain quantities. Instead of returning a single best-fit estimate, it combines prior knowledge with the observed data to produce a full posterior probability distribution for each parameter, from which credible intervals and predictions are read off. | 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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