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| Bayes'sche ANOVA× | Bayes'sche Regression× | Einfaktorielle Varianzanalyse× | |
|---|---|---|---|
| Fachgebiet≠ | Bayes-Statistik | Bayes-Statistik | Statistik |
| Familie≠ | Bayesian methods | Bayesian methods | Hypothesis test |
| Entstehungsjahr≠ | 2012 | — | 1925 |
| Urheber≠ | Rouder, Morey, Speckman & Province | — | Ronald A. Fisher |
| Typ≠ | Bayesian hypothesis test / group comparison | Bayesian linear model | Parametric mean comparison |
| Wegweisende Quelle≠ | 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 ↗ | 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 ↗ |
| Aliasnamen≠ | bayesian analysis of variance, bayes factor ANOVA, JZS ANOVA, Bayesçi ANOVA — Bayes Faktörü ile Grup Karşılaştırması | bayesian linear regression, probabilistic regression, bayesian regresyon | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA |
| Verwandt≠ | 4 | 2 | 4 |
| Zusammenfassung≠ | Bayesian ANOVA, formalised by Rouder, Morey, Speckman and Province (2012), tests whether group means differ by quantifying the evidence for the alternative hypothesis relative to the null using the Bayes Factor (BF₁₀). Unlike classical ANOVA, it can also measure evidence in favour of the null hypothesis, making it equally informative when groups do not differ. | 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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