השוואת שיטות
סקרו את השיטות שבחרתם זו לצד זו; שורות שבהן יש הבדל מודגשות.
| ANOVA דו-כיווני בייסיאני× | ניתוח שונות דו-כיווני (ANOVA דו-כיווני)× | |
|---|---|---|
| תחום | סטטיסטיקה | סטטיסטיקה |
| משפחה | Hypothesis test | Hypothesis test |
| שנת המקור≠ | 1961 (foundations); 2012 (default Bayes factor formulation) | 1925 |
| הוגה השיטה≠ | Harold Jeffreys (foundational); modern default-prior form by Jeffrey N. Rouder et al. | Ronald A. Fisher |
| סוג≠ | Bayesian hypothesis test | Parametric factorial mean comparison |
| מקור מכונן≠ | 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 |
| כינויים≠ | Bayesian factorial ANOVA, Bayes factor two-way ANOVA, Bayesian 2×k ANOVA, Bayesian two-factor ANOVA | factorial ANOVA, two-factor ANOVA, İki Yönlü ANOVA |
| קשורות≠ | 4 | 6 |
| תקציר≠ | 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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