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| ANOVA Bayesiana a Due Vie× | Bayesian t-Test× | |
|---|---|---|
| Campo≠ | Statistica | Bayesiano |
| Famiglia≠ | Hypothesis test | Bayesian methods |
| Anno di origine≠ | 1961 (foundations); 2012 (default Bayes factor formulation) | 2009 |
| Ideatore≠ | Harold Jeffreys (foundational); modern default-prior form by Jeffrey N. Rouder et al. | Rouder, Speckman, Sun, Morey & Iverson |
| Tipo | Bayesian hypothesis test | Bayesian hypothesis test |
| 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 ↗ | 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 ↗ |
| Alias≠ | Bayesian factorial ANOVA, Bayes factor two-way ANOVA, Bayesian 2×k ANOVA, Bayesian two-factor ANOVA | bayesian two-sample t-test, bayes factor t-test, Bayesçi t-Testi |
| Correlati≠ | 4 | 5 |
| Sintesi≠ | Bayesian two-way ANOVA extends the classical two-way analysis of variance by replacing p-values with Bayes factors and posterior distributions. It quantifies evidence for or against main effects and their interaction using prior-weighted model comparison, yielding conclusions that are directly interpretable in probabilistic terms rather than relying on a fixed significance threshold. | The Bayesian t-test, formalised by Rouder and colleagues in 2009, is a two-group comparison method that works within a Bayesian framework. Instead of a p-value, it produces a Bayes Factor (BF₁₀) that quantifies the evidence the data provide for the alternative hypothesis relative to the null, and it reports the full posterior distribution of the standardised effect size δ with a highest-density interval. |
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