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| Μπεϋζιανή Διπαραγοντική ANOVA× | Ανάλυση Διακύμανσης Δύο Παραγόντων (Two-Way ANOVA)× | |
|---|---|---|
| Πεδίο | Στατιστική | Στατιστική |
| Οικογένεια | Hypothesis test | Hypothesis test |
| Έτος προέλευσης≠ | 1961 (foundations); 2012 (default Bayes factor formulation) | 1925 |
| Δημιουργός≠ | Harold Jeffreys (foundational); modern default-prior form by Jeffrey N. Rouder et al. | Ronald A. Fisher |
| Τύπος≠ | Bayesian hypothesis test | Parametric factorial mean comparison |
| Θεμελιώδης πηγή≠ | 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 ↗ | Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119113478 |
| Εναλλακτικές ονομασίες≠ | Bayesian factorial ANOVA, Bayes factor two-way ANOVA, Bayesian 2×k ANOVA, Bayesian two-factor ANOVA | factorial ANOVA, two-factor ANOVA, İki Yönlü ANOVA |
| Συναφείς≠ | 4 | 6 |
| Σύνοψη≠ | 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. | Two-Way ANOVA is a parametric hypothesis test that simultaneously examines the main effects of two independent categorical factors and their interaction effect on a single continuous dependent variable. The technique was developed within the broader framework of the analysis of variance established by Ronald A. Fisher in 1925 and remains the standard approach whenever an experiment or survey includes exactly two between-subjects factors. |
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