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| ANOVA Bayesiana× | Test del Fattore di Bayes× | Analisi della Varianza a una Via× | |
|---|---|---|---|
| Campo≠ | Bayesiano | Bayesiano | Statistica |
| Famiglia≠ | Bayesian methods | Bayesian methods | Hypothesis test |
| Anno di origine≠ | 2012 | 1961 | 1925 |
| Ideatore≠ | Rouder, Morey, Speckman & Province | Harold Jeffreys | Ronald A. Fisher |
| Tipo≠ | Bayesian hypothesis test / group comparison | Bayesian hypothesis comparison | Parametric mean comparison |
| Fonte seminale≠ | 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 ↗ | Jeffreys, H. (1961). Theory of Probability (3rd ed.). Clarendon Press / Oxford University Press. ISBN: 978-0198503682 | Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗ |
| Alias | bayesian analysis of variance, bayes factor ANOVA, JZS ANOVA, Bayesçi ANOVA — Bayes Faktörü ile Grup Karşılaştırması | bayes factor, BF10, Bayesian hypothesis test, Bayes Faktörü — Hipotez Testi | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA |
| Correlati≠ | 4 | 3 | 4 |
| Sintesi≠ | 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. | 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. | 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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