השוואת שיטות
סקרו את השיטות שבחרתם זו לצד זו; שורות שבהן יש הבדל מודגשות.
| רגרסיה לינארית בייסיאנית× | ANOVA בייסיאנית× | |
|---|---|---|
| תחום | בייסיאני | בייסיאני |
| משפחה | Bayesian methods | Bayesian methods |
| שנת המקור≠ | 2013 (modern reference); foundations 18th–19th century | 2012 |
| הוגה השיטה≠ | Thomas Bayes / Pierre-Simon Laplace (foundations); modern workflow codified by Gelman et al. | Rouder, Morey, Speckman & Province |
| סוג≠ | Bayesian linear model | Bayesian hypothesis test / group comparison |
| מקור מכונן≠ | 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 | 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 ↗ |
| כינויים≠ | bayesian linear model, probabilistic linear regression, Bayesçi Doğrusal Regresyon | bayesian analysis of variance, bayes factor ANOVA, JZS ANOVA, Bayesçi ANOVA — Bayes Faktörü ile Grup Karşılaştırması |
| קשורות | 4 | 4 |
| תקציר≠ | Bayesian linear regression is a probabilistic extension of the ordinary linear model, introduced through Bayes' rule and formalised in its modern computational workflow by Gelman et al. (2013). Rather than returning a single point estimate for each coefficient, it combines a user-specified prior distribution with the likelihood of the observed data to produce a full posterior distribution over all parameters, from which credible intervals and posterior predictive distributions are derived. | 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. |
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