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| Bayes Factor Test× | Bayesi järeldamine× | |
|---|---|---|
| Valdkond≠ | Bayesi meetodid | Statistika |
| Perekond | Bayesian methods | Bayesian methods |
| Tekkeaasta≠ | 1961 | 1763 |
| Looja≠ | Harold Jeffreys | Thomas Bayes; Pierre-Simon Laplace |
| Tüüp≠ | Bayesian hypothesis comparison | Probabilistic inference paradigm |
| Algallikas≠ | Jeffreys, H. (1961). Theory of Probability (3rd ed.). Clarendon Press / Oxford University Press. ISBN: 978-0198503682 | Bayes, T. (1763). An essay towards solving a problem in the doctrine of chances. Philosophical Transactions of the Royal Society of London, 53, 370–418. link ↗ |
| Rööpnimetused≠ | bayes factor, BF10, Bayesian hypothesis test, Bayes Faktörü — Hipotez Testi | Bayes inference, Bayesian statistics, Bayesian updating, posterior inference |
| Seotud | 3 | 3 |
| Kokkuvõte≠ | The Bayes factor test, formalised by Harold Jeffreys in 1961, is a Bayesian method for comparing two competing hypotheses. Rather than returning a binary reject/retain verdict, it produces a continuous ratio BF₁₀ that quantifies how much more (or less) probable the data are under the alternative hypothesis H₁ than under the null hypothesis H₀. | Bayesian inference is a statistical paradigm in which probability represents degrees of belief rather than long-run frequencies. It encodes prior knowledge about parameters in a prior distribution, combines that prior with the likelihood of observed data via Bayes' theorem, and produces a posterior distribution that quantifies updated uncertainty. The foundational theorem was published posthumously by Thomas Bayes in 1763 and subsequently systematized by Pierre-Simon Laplace in his 1812 Théorie analytique des probabilités. |
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