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| Forschung zur Bayes'schen Modellprüfung× | Bayesianische Inferenz× | |
|---|---|---|
| Fachgebiet≠ | Forschungsdesign | Statistik |
| Familie≠ | Process / pipeline | Bayesian methods |
| Entstehungsjahr≠ | 1935 (Jeffreys); widely adopted in social and behavioral sciences from the 1990s onward | 1763 |
| Urheber≠ | Harold Jeffreys; formalized for applied sciences by Robert Kass and Adrian Raftery | Thomas Bayes; Pierre-Simon Laplace |
| Typ≠ | Quantitative inferential research design | Probabilistic inference paradigm |
| Wegweisende Quelle≠ | Kass, R. E., & Raftery, A. E. (1995). Bayes factors. Journal of the American Statistical Association, 90(430), 773–795. DOI ↗ | 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 ↗ |
| Aliasnamen≠ | Bayesian hypothesis testing, Bayesian model comparison, Bayes factor analysis, BMT | Bayes inference, Bayesian statistics, Bayesian updating, posterior inference |
| Verwandt≠ | 4 | 3 |
| Zusammenfassung≠ | Bayesian model testing research is a quantitative design in which competing theoretical models or hypotheses are evaluated by comparing their marginal likelihoods given observed data. The central tool is the Bayes factor — a ratio that quantifies how much more likely the data are under one model than under another. Unlike null-hypothesis significance testing, Bayesian model testing yields direct evidence for or against specific hypotheses, incorporates prior knowledge, and can support a null hypothesis rather than merely failing to reject it. | 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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