Evidence and Experimental Design in Sequential Trials

Evidence and Experimental Design in Sequential Trials
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序贯试验中的证据和实验设计

DOI:
10.1086/605818
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发表时间:
2009
影响因子:
1.7
通讯作者:
J. Sprenger
J. Sprenger
中科院分区:
人文科学3区
文献类型:
--
作者:
J. Sprenger

文献摘要

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统计实验的设计,特别是序贯试验,在多大程度上影响了它们的解释?实验后的决定应该仅仅依赖于观察到的数据,还是应该考虑使用的停止规则?贝叶斯主义者和频率论者显然在这些问题上的争论中陷入僵局。为了解决这一僵局,我提出了一个由三部分组成的战略,它结合了概念、方法和决策理论的论点。这种方法保持了实验设计和停止规则的实验前相关性,但证明了它们的证据性和实验后无关性。
To what extent does the design of statistical experiments, in particular sequential trials, affect their interpretation? Should postexperimental decisions depend on the observed data alone, or should they account for the used stopping rule? Bayesians and frequentists are apparently deadlocked in their controversy over these questions. To resolve the deadlock, I suggest a three‐part strategy that combines conceptual, methodological, and decision‐theoretic arguments. This approach maintains the pre‐experimental relevance of experimental design and stopping rules but vindicates their evidential, postexperimental irrelevance.