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| Test faktorom verovatnoće (Bayes Factor Test)× | Markov Chain Monte Carlo (MCMC)× | Jednosmerna analiza varijanse× | |
|---|---|---|---|
| Oblast≠ | Bajesovska statistika | Bajesovska statistika | Statistika |
| Porodica≠ | Bayesian methods | Bayesian methods | Hypothesis test |
| Godina nastanka≠ | 1961 | — | 1925 |
| Tvorac≠ | Harold Jeffreys | — | Ronald A. Fisher |
| Tip≠ | Bayesian hypothesis comparison | Posterior sampling algorithm | Parametric mean comparison |
| Temeljni izvor≠ | Jeffreys, H. (1961). Theory of Probability (3rd ed.). Clarendon Press / Oxford University Press. ISBN: 978-0198503682 | 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. link ↗ |
| Drugi nazivi≠ | bayes factor, BF10, Bayesian hypothesis test, Bayes Faktörü — Hipotez Testi | markov chain monte carlo, MCMC sampling, MCMC (Markov Zinciri Monte Carlo) | one-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA |
| Srodne≠ | 3 | 3 | 4 |
| Sažetak≠ | 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. | Markov Chain Monte Carlo (MCMC) is a family of computational algorithms for sampling from complex probability distributions, most commonly the posterior distributions that arise in Bayesian inference. Rather than computing posteriors analytically — which is rarely possible for realistic models — MCMC constructs a Markov chain whose stationary distribution is the target posterior and draws dependent samples from it, enabling full probabilistic inference for virtually any model. | 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. |
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