Vertaile menetelmiä

	Bayesiläinen ANOVA	Bayesilainen regressio	Yksisuuntainen varianssianalyysi
Tieteenala	Bayesilainen tilastotiede	Bayesilainen tilastotiede	Tilastotiede
Menetelmäperhe	Bayesian methods	Bayesian methods	Hypothesis test
Syntyvuosi	2012	—	1925
Kehittäjä	Rouder, Morey, Speckman & Province	—	Ronald A. Fisher
Tyyppi	Bayesian hypothesis test / group comparison	Bayesian linear model	Parametric mean comparison
Alkuperäislähde	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.	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	Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd.
Rinnakkaisnimet	bayesian analysis of variance, bayes factor ANOVA, JZS ANOVA, Bayesçi ANOVA — Bayes Faktörü ile Grup Karşılaştırması	bayesian linear regression, probabilistic regression, bayesian regresyon	one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA
Liittyvät	4	2	4
Tiivistelmä	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.	Bayesian regression is a probabilistic version of linear regression that treats the model parameters as uncertain quantities. Instead of returning a single best-fit estimate, it combines prior knowledge with the observed data to produce a full posterior probability distribution for each parameter, from which credible intervals and predictions are read off.	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.