手法を比較
選択した手法を並べて確認できます。異なる行はハイライト表示されます。
| ベイズ推論× | 逐次 / 群逐次試験デザイン× | |
|---|---|---|
| 分野≠ | 統計学 | 実験計画法 |
| 系統≠ | Bayesian methods | Hypothesis test |
| 提唱年≠ | 1763 | 1979 |
| 提唱者≠ | Thomas Bayes; Pierre-Simon Laplace | O'Brien & Fleming; Pocock; Lan & DeMets |
| 種類≠ | Probabilistic inference paradigm | Adaptive stopping trial design |
| 原典≠ | 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 ↗ |
| 別名≠ | Bayes inference, Bayesian statistics, Bayesian updating, posterior inference | group sequential design, adaptive stopping design, Ardışık Deneme Tasarımı (Sequential / Group Sequential) |
| 関連 | 3 | 3 |
| 概要≠ | 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. |
| ScholarGateデータセット ↗ |
|
|