方法对比
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| 贝叶斯推断× | 顺序/分组顺序试验设计× | |
|---|---|---|
| 领域≠ | 统计学 | 实验设计 |
| 方法族≠ | Bayesian methods | Hypothesis test |
| 起源年份≠ | 1763 | 1979 |
| 提出者≠ | Thomas Bayes; Pierre-Simon Laplace | O'Brien & Fleming; Pocock; Lan & DeMets |
| 类型≠ | Probabilistic inference paradigm | Adaptive stopping trial design |
| 开创性文献≠ | 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 ↗ | O'Brien, P.C. & Fleming, T.R. (1979). A Multiple Testing Procedure for Clinical Trials. Biometrics, 35(3), 549–556. DOI ↗ |
| 别名≠ | Bayes inference, Bayesian statistics, Bayesian updating, posterior inference | group sequential design, adaptive stopping design, Ardışık Deneme Tasarımı (Sequential / Group Sequential) |
| 相关 | 3 | 3 |
| 摘要≠ | 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. | Sequential and group sequential trial designs allow a study to be stopped early — or continued — based on interim analyses conducted as data accumulate. The core framework was formalised by O'Brien and Fleming in 1979 and extended by Lan and DeMets's alpha-spending approach, and it controls the overall Type I error rate across all planned looks by pre-specifying both efficacy and futility boundaries before enrolment begins. |
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