Porovnat metody
Prohlédněte si vybrané metody vedle sebe; řádky, které se liší, jsou zvýrazněny.
| Bayesovská ANCOVA× | Bayesovská lineární regrese× | |
|---|---|---|
| Obor≠ | Statistika | Bayesovská statistika |
| Rodina≠ | Hypothesis test | Bayesian methods |
| Rok vzniku≠ | 2012 (formalized; Bayesian general linear models since 1960s) | 2013 (modern reference); foundations 18th–19th century |
| Tvůrce≠ | Building on Jeffreys (1961) and developed formally for regression/ANCOVA by Rouder & Morey (2012) | Thomas Bayes / Pierre-Simon Laplace (foundations); modern workflow codified by Gelman et al. |
| Typ≠ | Bayesian parametric covariate-adjusted group comparison | Bayesian linear model |
| Původní zdroj≠ | Rouder, J. N., & Morey, R. D. (2012). Default Bayes factors for model selection in regression. Multivariate Behavioral Research, 47(6), 877–903. DOI ↗ | 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 |
| Další názvy≠ | Bayesian ANCOVA, Bayesian analysis of covariance, B-ANCOVA, Bayesian covariate-adjusted group comparison | bayesian linear model, probabilistic linear regression, Bayesçi Doğrusal Regresyon |
| Příbuzné≠ | 5 | 4 |
| Shrnutí≠ | Bayesian Analysis of Covariance (Bayesian ANCOVA) extends classical ANCOVA by placing prior distributions on group effects and covariate slopes, then updating them with observed data to obtain posterior distributions and Bayes factors. It quantifies evidence for group differences on a continuous outcome after statistically adjusting for one or more continuous covariates, without relying on p-value thresholds. | 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. |
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